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Publikationsdatenbank

BibTeX Einträge zu den aufgeführten Publikationen stehen unter den Links in der ersten Spalte zur Verfügung.

2018

446Model Reduction by Iterative Error System Approximation;
A.C. Antoulas, P. Benner, L. Feng;
Mathematical and Computer Modelling of Dynamical Systems  :  24:2, 103-118;
2018.
@article{BenBKetal18,
author = "Benner,
P. and Bujanović,
Z. and K{\"u}rschner,
P. and Saak,
J.",
title = "{RADI: A low-rank ADI-type algorithm for large scale algebraic Riccati equations}",
year = 2018,
journal = "Numer. Math.",
doi="10.1007/s00211-017-0907-5",
url="https://doi.org/10.1007/s00211-017-0907-5",
pages="301--330",
volume="138",
number="2" }
RADI: A low-rank ADI-type algorithm for large scale algebraic Riccati equations;
Benner, Peter; Bujanović, Zvonimir; Kürschner, Patrick; Saak, Jens;
Numerische Mathematik  :  vol. 138(2), pp. 301–330;
2018.
445A GPU aware mixed precision solver for low-rank algebraic Riccati equations;
Benner, Peter; Dufrechou, Ernesto; Ezzatti, Pablo, Remón, Alfredo;Saak, Jens;
Concurrency Computat Res Exp  :  
John Wiley & Sons, Inc.; 2018.
@article{FreKP18,
author = {Freitag,
M. and K{\"u}rschner,
P. and Pestana,
J.},
title = {GMRES convergence bounds for eigenvalue problems},
journal = CMAM,
year = 2018,
pages ="203-222" doi={10.1515/cmam-2017-0017},
volume=18,
number=2 }
GMRES convergence bounds for eigenvalue problems ;
Freitag, Melina; Kürschner, Patrick; Pestana, Jennifer;
Comput. Meth. Appl. Mat.  :  18(2), pp. 203-222;
2018.
437Frequency Scaling and Energy Efficiency regarding the Gauss-Jordan Elimination Scheme with Application to the Matrix-Sign-Function on OpenPOWER 8
Köhler, Martin; Saak, Jens;
in Ezzatti, Pablo; Quintana-Qrtí Enrique; Remon, Alfredo; Saak, Jens;:  Proceedings of PACO 2017  :  Concurrency and Computation: Practice and Experience;
2018.
accepted.
449Efficient Solution of Large-Scale Algebraic Riccati Equations Associated with Index-2 DAEs via the Inexact Low-Rank Newton-ADI Method;
Peter Benner, Matthias Heinkenschloss, Jens Saak, Heiko K. Weichelt;
arXiv:1804.0141 math.NA;
2018.
submitted.
@Article{BenHLetal18a,
author = {Benner,
P. and Herzog,
R. and Lang,
N. and Riedel,
I. and Saak,
J.},
title = {Optimal sensor placement based on model order reduction},
journal = {Proceedings of the Conference on Thermal Issues in Machine Tools},
year = 2018,
note={to appear} }
Optimal sensor placement based on model order reduction
Peter Benner, Roland Herzog, Norman Lang, Ilka Riedel, Jens Saak;
Proceedings of the CIRP sponsored Conference on Thermal Issues in Machine Tools  :  
2018.
to appear.
@Article{BenHLetal18b,
author = {Benner,
P. and Herzog,
R. and Lang,
N. and Riedel,
I. and Saak,
J.},
title = {Comparison of Model Order Reduction Methods for Optimal Sensor Placement for Thermo-Elastic Models},
journal = {Engineering Optimization},
year = 2018,
note = {accepted} }
Comparison of Model Order Reduction Methods for Optimal Sensor Placement for Thermo-Elastic Models
Peter Benner; Roland Herzog; Norman Lang; Ilka Riedel; Jens Saak;
Engineering Optimization  :  
2018.
accepted.
@techreport{Sti18,
author = {T. Stillfjord},
fauthor = {Tony Stillfjord},
title = {Singular value decay of operator-valued differential Lyapunov and Riccati equations},
year = 2018,
institution = {Cornell University},
month = apr,
annote = {Submitted to SICON},
note = {math.OC},
number = {arXiv:1804.02197},
Type = {arXiv e-prints},
Url = {https://arxiv.org/abs/1804.02197} }
Singular value decay of operator-valued differential Lyapunov and Riccati equations;
Stillfjord, Tony;
arXiv e-prints : 1804.02197  :  
Cornell University; 2018. ISBN/ISSN: 2331-8422
Submitted..

2017

419Accelerating optimization and uncertainty quantification of nonlinear SMB chromatography using reduced-order models;
Yongjin Zhang, Lihong Feng, Andreas Seidel-Morgenstern, Peter Benner;
Computers & Chemical Engineering  :  Vol. 96, pp. 237-247;
2017.
@Article{AltH17,
Title = {Simulation of multibody systems with servo constraints through optimal control},
Author = {Altmann,
R. and Heiland,
J.},
Journal = {Multibody System Dynamics},
Year = {2017},
Number = {1},
Pages = {75--98},
Volume = {40},
Abstract = {We consider mechanical systems where the dynamics are partially constrained to prescribed trajectories. An example for such a system is a building crane with a load and the requirement that the load moves on a certain path.},
Doi = {10.1007/s11044-016-9558-z},
ISSN = {1573-272X},
Url = {http://dx.doi.org/10.1007/s11044-016-9558-z} }
Simulation of multibody systems with servo constraints through optimal control;
Altmann, Robert; Heiland; Jan;
Multibody System Dynamics  :  
Springer; 2017. ISBN/ISSN: 1384-5640
441Optimal Control of a Stefan Problem Fully Coupled with Incompressible Navier–Stokes Equations and Mesh Movement
Baran, Björn; Benner, Peter; Heiland, Jan and Saak, Jens;
Analele Stiintifice ale Universitatii Ovidius Constanta  :  Seria Matematica;
Faculty of Mathematics and Computer Science, Ovidius University, Constanta, Romania; 2017.
accepted.
@String{PAMM = {Proc. Appl. Math. Mech.}} @String { WileyVCH = {WILEY-VCH Verlag} } @Article {BarBHetal17,
fauthor = {Baran,
Björn and Benner,
Peter and Heiland,
Jan and Saak,
Jens},
author = {Baran,
B. and Benner,
P. and Heiland,
J. and Saak,
J.},
title = {Towards {R}iccati-Feedback Control of Complex Flows with Moving Interfaces},
journal = PAMM,
volume = 17,
number = 1,
pages = {769--770},
year = 2017,
publisher = WileyVCH,
DOI = {10.1002/pamm.201710352},
}
Towards Riccati-Feedback Control of Complex Flows with Moving Interfaces;
Baran, Björn; Benner, Peter; Heiland, Jan and Saak, Jens;
Proc. Appl. Math. Mech.  :  Volume 17, Issue 1, Pages: 769-770;
WILEY-VCH Verlag; 2017.
@STRING{PAMM = {Proc. Appl. Math. Mech.}} @ARTICLE{morHimLRetal17,
author = {Himpe,
C. and Leibner,
T. and Rave,
S. and Saak,
J.},
title = {Fast Low-Rank Empirical Cross {G}ramians},
journal = PAMM,
volume = {17},
number = {1},
pages = {841--842},
year = {2017},
doi = {10.1002/pamm.201710388} }
Fast Low-Rank Empirical Cross Gramians;
Himpe, Christian; Leibner, Tobias; Rave, Stephan and Saak, Jens;
Proceedings in Applied Mathematics and Mechanics  :  Volume 17, Issue 1, Pages: 841-842;
WILEY-VCH Verlag; 2017.
@proceedings{KoeS17,
title = {{Frequency Scaling and Energy Efficiency regarding the Gauss-Jordan Elimination Scheme on OpenPower 8}},
year = 2017,
publisher = {Zenodo},
month = may,
doi = {10.5281/zenodo.574664},
url = {https://doi.org/10.5281/zenodo.574664} }
Frequency Scaling and Energy Efficiency regarding the Gauss-Jordan Elimination Scheme on OpenPower 8;
Köhler, Martin; Saak, Jens;
PACO 2017  :  
Zenodo; 2017.
DOI: 10.5281/zenodo.574664.
@article{KoeS17,
author = {K{\"o}hler,
Martin and Saak,
Jens},
title = {A {GPU} Accelerated {Gauss-Jordan} Elimination on the {OpenPOWER} platform -- A case study },
journal = PAMM,
volume = {17},
number = {1},
publisher = WileyVCH,
issn = {1617-7061},
doi = {10.1002/pamm.201710390},
pages = {845--846},
year = {2017} }
GPU Accelerated Gauss-Jordan Elimination on the OpenPOWER platform -- A case study;
Köhler, Martin; Saak, Jens;
Proc. Appl. Math. Mech.  :  
WILEY-VCH Verlag; 2017. ISBN/ISSN: 1617-7061
@techreport{Kue17,
author = "K{\"u}rschner,
P.",
institution = "ArXiv",
month = july,
note = "Available from http://arxiv.org/abs/1707.02839.",
number = "1707.02839",
title = "{Balanced truncation model order reduction in limited time intervals for large systems}",
type = "e-prints",
year = 2017 }
Balanced truncation model order reduction in limited time intervals for large systems;
Kürschner, Patrick;
ArXiv e-prints  :  1707.02839;
2017.
Submitted..
428 Some a Posteriori Error Bounds for Reduced Order Modelling of (Non-)Parametrized Linear Systems;
Lihong Feng, Athanasios C. Antoulas, and Peter Benner;
ESAIM: Mathematical Modelling and Numerical Analysis  :  51(6): 2127-2158;
2017.
427Adaptive POD-DEIM Basis Construction and its Application to a Nonlinear Population Balance System;
Lihong Feng, Michael Mangold, and Peter Benner;
AIChE Journal  :  
2017.
DOI: 10.1002/aic.15749.
430 An Index-aware Parametric Model Order Reduction Method for Parametrized Quadratic Differential-Algebraic Equations;
Nicodemus Banagaaya, Peter Benner, Lihong Feng, Peter Meuris, and Wim Schoenmaker;
Applied Mathematics and Computation  :  
2017.
DOI: 10.1016/j.amc.2017.04.024.
@PhdThesis{Lan17,
author = {Lang,
N.},
fauthor = {Lang,
Norman},
title = {Numerical Methods for Large-Scale Linear Time-Varying Control Systems and related Differential Matrix Equations},
school = TUChemnitz,
address = {Chemnitz,
Germany},
year = 2017,
month = jun,
type = {Dissertation} }
Numerical Methods for Large-Scale Linear Time-Varying Control Systems and Related Differential Matrix Equations
Norman Lang;
2017.
submitted June 27th 2017, defended November 13th 2017, to appear.
@InProceedings{LanBNetal17,
author = {{Lang},
N. and {Benner},
P. and {Naumann},
A. and {Wensch},
J.},
title = {Simulation gekoppelter Baugruppen: Effiziente Zeitintegrationsverfahren und Modellordnungsreduktion},
booktitle = {Tagungsband des 5. Kolloquiums zum SFB/TR 96: Thermo-Energetische Gestaltung von Werkzeugmaschinen - Modellierung und Simulation},
pages = {18-32},
year = 2017,
editor = {C. Brecher} }
Simulation gekoppelter Baugruppen: Effiziente Zeitintegrationsverfahren und Modellordnungsreduktion;
Norman Lang, Peter Benner, Andreas Naumann, Jörg Wensch;
in C. Brecher: Tagungsband des 5. Kolloquiums zum SFB/TR 96: Thermo-Energetische Gestaltung von Werkzeugmaschinen - Modellierung und Simulation  :  Pages 18-32;
2017. ISBN/ISSN: 978-3-86780-516-2
429POD-DEIM for Efficient Reduction of a Dynamic 2D Catalytic Reactor Model;
Peter Benner, Jens Bremer, Lihong Feng, Pawan Goyal, and Kai Sundmacher;
Computers & Chemical Engineering  :  
2017.
DOI: 10.1016/j.compchemeng.2017.02.032.
@techreport{morKueR17,
author = {Redmann,
M. and K{\"u}rschner,
P.},
title = \"{An $\mathcal{H}_2$-Type Error Bound for Time-Limited Balanced Truncation\",
journal = {ArXiv e-prints},
archivePrefix = \"arXiv\",
eprint = {1710.07572v1},
year = 2017,
month = oct,
note={Available from https://arxiv.org/abs/1710.07572v1 } }
An ℋ2-Type Error Bound for Time-Limited Balanced Truncation;
Redmann, Martin; Kürschner, Patrick;
ArXiv e-prints  :  1710.07572v1;
2017.
442Model reduction of constrained multi-body systems in M-M.E.S.S.;
Saak, Jens and Voigt, Matthias;
Proceedings of 9th Vienna International Conference on Mathematical Modelling;
IFAC Online; 2017.
accepted.

2016

@Article{NauLPetal16,
author = {Naumann,
A. and Lang,
N. and Partzsch,
M. and Beitelschmidt,
M. and Benner,
P. and Voigt,
A. and Wensch,
J.},
title = {Computation of thermo-elastic deformations on machine tools - a study of numerical methods},
journal = {Production Engineering},
year = 2016,
doi = {10.1007/s11740-016-0674-7},
url = {http://dx.doi.org/10.1007/s11740-016-0674-7},
pages = {1--11} }
Computation of thermo-elastic deformations on machine tools - A study of numerical methods;
Andreas Naumann, Norman Lang, Marian Partzsch, Michael Beitelschmidt, Peter Benner, Axel Voigt, Jörg Wensch;
Production Engineering Research & Development  :  
Springer Berlin Heidelberg; 2016.
DOI: 10.1007/s11740-016-0674-7.
@article{BenKS16,
author = {Benner,
Peter and K{\"u}rschner,
Patrick and Saak,
Jens},
title = {Frequency-Limited Balanced Truncation with Low-Rank Approximations},
journal = {SIAM Journal on Scientific Computing},
volume = {38},
number = {1},
pages = {A471-A499},
year = {2016},
doi = {10.1137/15M1030911},
URL = { http://dx.doi.org/10.1137/15M1030911},
}
Frequency-Limited Balanced Truncation with Low-Rank Approximations;
Benner, Peter; Kürschner, Patrick; Saak, Jens; ;
SIAM J. Sci. Comput.  :  38(1), pp. A471-A499;
SIAM; 2016.
Article{BenHSetal16,
title = "An inexact low-rank Newton-ADI method for large-scale algebraic Riccati equations ",
author = "Benner,
Peter and Heinkenschloss,
Matthias and Saak,
Jens and Weichelt,
Heiko~K.",
journal = ApplNumMath,
volume = 108,
pages = "125--142",
year = 2016,
month = oct,
issn = "0168-927",
doi = "10.1016/j.apnum.2016.05.006",
url = "http://www.sciencedirect.com/science/article/pii/S0168927416300824" }
Inexact low-rank Newton-ADI method for large-scale algebraic Riccati equations;
Benner, Peter; Heinkenschloss, Matthias; Saak, Jens; Weichelt, Heiko K.;
Appl. Numer. Math.  :  vol. 108, pp. 125-142;
Elsevier; 2016. ISBN/ISSN: 0168-9274
doi:10.1016/j.apnum.2016.05.006.
@arcticle{BenKTT14,
author = {Peter Benner and Patrick K{\"u}rschner and Zoran Tomljanovi\'{c} and Ninoslav Truhar},
title = {Semi-active damping optimization of vibrational systems using the parametric dominant pole algorithm},
month = {July} year = 2016,
journal={ZAMM},
volume=96,
number=5,
pages={604--619} }
Semi-active damping optimization of vibrational systems using the parametric dominant pole algorithm;
Benner, Peter; Kürschner, Patrick; Tomljanović, Zoran; Ninoslav, Truhar;;
ZAMM  :  96(5), pp. 604-619;
WILEY-VCH; 2016.
@Article{BenKS15,
author = {Peter Benner and Patrick K{\"u}rschner and Jens Saak},
title = {Low-Rank Newton-ADI methods for Large Nonsymmetric Algebraic Riccati Equations},
year = 2015,
volume = {353},
number = {5},
pages ={1147–1167},
journal={Journal of The Franklin Institute},
doi={10.1016/j.jfranklin.2015.04.016},
}
Low-Rank Newton-ADI methods for Large Nonsymmetric Algebraic Riccati Equations;
Benner, Peter; Kürschner, Patrick; Saak, Jens;
Journal of The Franklin Institute  :  353(5), pp 1147–1167;
Elsevier; 2016.
@INPROCEEDINGS{morBenSU16b,
author = {Benner,
P. and Saak,
J. and Uddin,
M.~M.},
title = {Reduced-Order Modeling of Index-1 Vibrational Systems Using Interpolatory Projections},
booktitle = {Proceedings of the 19th International Conference On Computer and Information Technology},
address = {Dhaka,
Bangladesh},
publisher = {IEEE Publications},
pages = {134--138},
year = {2016},
DOI = {10.1109/ICCITECHN.2016.7860183},
month = dec }
Reduced-Order Modeling of Index-1 Vibrational Systems Using Interpolatory Projections;
Benner, Peter; Saak, Jens and Uddin, M. Monir;
Proceedings of the 19th International Conference On Computer and Information Technology  :  pp. 134-138 ;
IEEE Publications; 2016. ISBN/ISSN: 978-1-5090-4089-6
DOI:10.1109/ICCITECHN.2016.7860183.
@ARTICLE{morFehHHetal16,
author = {J. Fehr and J. Heiland and C. Himpe and J. Saak},
title = {Best Practices for Replicability,
Reproducibility and Reusability of Computer-Based Experiments Exemplified by Model Reduction Software},
journal = {AIMS Mathematics},
volume = {1},
number = {3},
pages = {261--281},
year = {2016},
doi = {10.3934/Math.2016.3.261} }
Best Practices for Replicability, Reproducibility and Reusability of Computer-Based Experiments Exemplified by Model Reduction Software;
Fehr, Jörg; Heiland, Jan; Himpe, Christian and Saak, Jens;
AIMS Mathematics  :  vol. 1(3), pp. 261-281;
AIMS Press; 2016.
doi:10.3934/Math.2016.3.261.
@String { NumerAlg = {Numer. Algorithms} } @Article{AnzCSetal16,
Title = {Updating Incomplete Factorization Preconditioners for Model Order Reduction},
Author = {Anzt,
H. and Chow,
E. and Saak,
J. and Dongarra,
J},
Journal = NumerAlg,
Year = {2016},
Doi = {10.1007/s11075-016-0110-2},
volume = 73,
number = 3,
pages = {611--630},
month = feb }
Updating Incomplete Factorization Preconditioners for Model Order Reduction;
Hartwig Anzt , Edmond Chow , Jens Saak , Jack Dongarra;
Numerical Algorithms  :  vol. 73 (3), pp. 611–630;
Springer; 2016.
doi:10.1007/s11075-016-0110-2.
@STRING{PAMM = {Proc. Appl. Math. Mech.}} @String{WileyVCH = {WILEY-VCH Verlag}} @ARTICLE{morHunS16,
author = {Hund,
M. and Saak,
J.},
title = {A Connection between Time Domain Model Order Reduction and Moment Matching},
journal = PAMM,
publisher = WileyVCH,
volume = 16,
number = 1,
month = oct,
pages = {727--728},
issn = {1617-7061},
doi = {10.1002/pamm.201610352},
year = 2016 }
A Connection between Time Domain Model Order Reduction and Moment Matching;
Hund, Manuela and Saak, Jens;
Proc. Appl. Math. Mech.  :  vol. 16(1), pp. 727--728;
WILEY-VCH Verlag; 2016. ISBN/ISSN: 1617-7061
DOI:10.1002/pamm.201610352.
@article{KoeS16a,
author = {K\"{o}hler,
Martin and Saak,
Jens},
title = {On {BLAS} Level-3 Implementations of Common Solvers for (Quasi-) Triangular Generalized {L}yapunov Equations},
journal = ACMMathSoft,
issue_date = {August 2016},
volume = 43,
number = 1,
month = aug,
year = 2016,
issn = {0098-3500},
pages = {3:1--3:23},
numpages = 23,
url = {http://doi.acm.org/10.1145/2850415},
doi = {10.1145/2850415},
acmid = 2850415,
publisher = {ACM},
address = {New York,
NY,
USA},
}
On BLAS Level-3 Implementations of Common Solvers for (Quasi-) Triangular Generalized Lyapunov Equations;
Köhler, M. and Saak, J.;
ACM Trans. Math. Softw.  :  
Association for Computing Machinery, New York, NY, USA; 2016. ISBN/ISSN: 0098-3500
Preprint available as Slicot Working Note 2014-1.
@ARTICLE{KoePSetal16,
author = {K\"{o}hler,
Martin and Penke,
Carolin and Saak,
Jens and Ezzatti,
Pablo},
title = {Energy-Aware Solution of Linear Systems with Many Right Hand Sides},
journal = {Computer Science: Research and Development},
year = {2016} }
Energy-Aware Solution of Linear Systems with Many Right Hand Sides;
Köhler, Martin; Penke, Carolin; Saak, Jens; Ezzatti, Pablo;
Computer Science – Research and Development  :  
Springer; 2016.
@Article{KoeS16,
author = {K{\"o}hler,
Martin and Saak,
Jens},
title = {On {GPU} Acceleration of Common Solvers for (Quasi-) Triangular Generalized {L}yapunov Equations},
journal = {Parallel Computing},
year = 2016,
issn = {0167-8191},
doi = {10.1016/j.parco.2016.05.010"},
url = {http://www.sciencedirect.com/science/article/pii/S0167819116300436} }
On GPU Acceleration of Common Solvers for (Quasi-) Triangular Generalized Lyapunov Equations;
Köhler, Martin; Saak, Jens;
Parallel Computing  :  
Elsevier; 2016. ISBN/ISSN: 0167-8191
Preprint available as MPIMD 14-17.
@techreport{KueK16,
author = {Kuehn,
C. and K{\"u}rschner,
P.},
title = \"{Combined Error Estimates for Local Fluctuations of SPDEs}\",
journal = {ArXiv e-prints},
archivePrefix = \"arXiv\",
eprint = {1611.04629v1},
year = 2016,
month = nov,
note={Available from https://arxiv.org/abs/1611.04629v1. } }
Combined Error Estimates for Local Fluctuations of SPDEs;
Kuehn, Christian; Kürschner Patrick;
ArXiv e-prints  :  1611.04629v1;
2016.
409Automatic generation of reduced order models for linear parametric systems;
L. Feng, A.C. Antoulas, P. Benner;
accepted for Proceedings ECMI-2014, European Conference on Mathematics for Industry  :  Series Mathematics for Industry, Springer;
2016.
404Parametric and reduced-order modeling for the thermal analysis of nanoelectronic structures;
L. Feng, P. Meuris, W. Schoenmaker, and P. Benner;
Proceedings of Scientific Computing in Electrical Engineering SCEE 2014  :  pp. 155-163;
2016.
416Parametric Modeling and Model Order Reduction for (Electro-)Thermal Analysis of Nanoelectronic Structures;
Lihong Feng; Yao Yue; Nicodemus Banagaaya; Peter Meuris; Wim Schoenmaker; Peter Benner;
Journal of Mathematics in Industry  :  6:10;
Springer; 2016.
421A Connection Between Time Domain Model Order Reduction and Moment Matching for LTI systems
Manuela Hund and Jens Saak;
2016.
(submitted).
@String { WileyVCH = {WILEY-VCH Verlag} } @String { PAMM = {Proc. Appl. Math. Mech.} } @Article {KoeLS16,
author = {K\"{o}hler,
Martin and Lang,
Norman and Saak,
Jens},
title = {Solving Differential Matrix Equations using Parareal},
journal = PAMM,
volume = 16,
number = 1,
publisher = WileyVCH,
issn = {1617-7061},
doi = {10.1002/pamm.201610412},
pages = {847--848},
year = 2016,
repo = {http://svncsc.mpi-magdeburg.mpg.de/repos/mpcsc/pubs/160531_koehler_lang_saak_PAMM_parareal} }
Solving Differential Matrix Equations using Parareal;
Martin Köhler, Norman Lang, Jens Saak;
Proc. Appl. Math. Mech.  :  vol. 16(1), pp.847--848;
WILEY-VCH Verlag; 2016. ISBN/ISSN: 1617-7061
DOI: 10.1002/pamm.201610412.
@InProceedings{NauWVetal16,
author = {{Beitelschmidt},
M. and {Partzsch},
M. and {Benner},
P. and {Lang},
N. and {Wensch},
J. and {Voigt},
A. and {Naumann},
A.},
title = {Berechnung von thermo-elastischen Deformation in WZM - Vergleich numerischer Verfahren},
booktitle = {Tagungsband des 4. Kolloquiums zum SFB/TR 96: Thermo-Energetische Gestaltung von Werkzeugmaschinen - Modellierung und Simulation},
pages = {83-97},
year = 2016,
editor = {C. Brecher}
Berechnung von thermo-elastischen Deformation in WZM - Vergleich numerischer Verfahren;
Michael Beitelschmidt, Marian Partzsch, Peter Benner, Norman Lang, Jörg Wensch, Axel Voigt, Andreas Naumann;
in C. Brecher: Tagungsband des 4. Kolloquiums zum SFB/TR 96: Thermo-Energetische Gestaltung von Werkzeugmaschinen  :  Pages 83-97;
2016. ISBN/ISSN: 978-3-95735-038-1
408Model Order Reduction for Nanoelectronics Coupled Problems with Many Inputs;
N. Banagaaya, L. Feng, W. Schoenmaker, P. Meurisy, A. Wieersz, R. Gillonz, P. Benner;
In proceedings of Design, Automation, and Test in Europe (DATE), Dresden, Germany.  :  pp. 313-318;
2016.
@article{morLanSS16,
author = {N. Lang and J. Saak and T. Stykel},
title = {Balanced truncation model reduction for linear time-varying systems},
journal = MCMDS,
volume = 22,
number = 4,
pages = {267--281},
year = 2016,
doi = {10.1080/13873954.2016.1198386},
URL = {http://dx.doi.org/10.1080/13873954.2016.1198386} }
Balanced truncation model reduction for linear time-varying systems;
Norman Lang, Jens Saak, Tatjana Stykel;
Mathematical and Computer Modelling of Dynamical Systems  :  Volume 22, Issue 4, Pages 267-281;
Taylor & Francis; 2016. ISBN/ISSN: 1387-3954, 1744-505
DOI: 10.1080/13873954.2016.1198386, also available as preprint from https://www.tu-chemnitz.de/mathematik/csc/2015/.
@INPROCEEDINGS{BenD16,
author = {Peter Benner and Jonas Deni{\ss}en},
title = {Numerical solution to low rank perturbed {L}yapunov equations by the sign function method},
journal = {Proceedings in Applied Mathematics and Mechanics},
publisher = {WILEY-VCH Verlag},
year = {2016},
note = {submitted} }
Numerical solution to low rank perturbed Lyapunov equations by the sign function method
P. Benner and J. Denißen;
Proceedings in Applied Mathematics and Mechanics  :  
WILEY-VCH Verlag; 2016.
submitted.
@article{BenDK16,
author = {Peter Benner and Jonas Deni{\ss}en and Ludwig Kohaupt},
title = {Trigonometric spline and spectral bounds for the solution of linear time-periodic systems},
year = {2016},
journal = {Journal of Applied Mathematics and Computing},
publisher = {Springer-Verlag},
doi = {10.1007/s12190-016-1001-3} }
Trigonometric spline and spectral bounds for the solution of linear time-periodic systems
P. Benner, J. Denißen and L. Kohaupt;
Journal of Applied Mathematics and Computing  :  
Springer-Verlag; 2016. ISBN/ISSN: 1598-5865
@PhdThesis{Kue16,
author = {Patrick K{\"u}rschner},
title = Efficient Low-Rank Solution of Large-Scale Matrix Equations},
school = {OvGU Magdeburg},
year = 20016,
month = {April},
publisher={Shaker Verlag} }
Efficient Low-Rank Solution of Large-Scale Matrix Equations;
P. Kürschner;
Shaker Verlag; 2016. ISBN/ISSN: 978-3-8440-4385-3
@ARTICLE{morBenSU16a,
author = {Benner,
P. and Saak,
J. and Uddin,
M.~M.},
title = {Structure preserving model order reduction of large sparse second-order index-1 systems and application to a mechatronics model},
journal = {Math. Comput. Model. Dyn. Syst.},
volume = 22,
number = 6,
pages = {509--523},
year = {2016},
month = aug,
doi = {10.1080/13873954.2016.1218347},
}
Structure Preserving MOR for Large Sparse Second Order Index-1 Systems and Application to a Mechatronic Model;
Peter Benner and Jens Saak and M. Monir Uddin;
Mathematical and Computer Modelling of Dynamical Systems  :  
Tailor & Francis; 2016. ISBN/ISSN: DOI:10.1080/13873954
@Article{morBenSU16,
author = {Benner,
P. and Saak,
J. and Uddin,
M.~M.},
title = {Balancing based model reduction for structured index-2 unstable descriptor systems with application to flow control},
volume = 6,
number = 1,
month = mar,
year = 2016,
journal = {Numerical Algebra,
Control and Optimization},
pages = {1--20},
issn = "2155-3289",
doi = "10.3934/naco.2016.6.1" }
Balancing based model reduction for structured index-2 unstable descriptor systems with application to flow control;
Peter Benner, Jens Saak, M. Monir Uddin;
Numerical Algebra, Control and Optimization  :  vol. 6 (1) pp. 1-20;
American Institute of Mathematical Sciences; 2016.
(preprint version available as MPI Magdeburg Preprints, MPIMD/14-20).

2015

391Recycling BiCGSTAB with an application to parametric model order reduction;
K. Ahuja, E. de Sturler, L. Feng, Peter Benner;
SIAM Journal on Scientific Computing  :  37(5):S429–S446;
2015.
229A fast solver for an H1 regularized PDE-constrained optimization problem;
Andrew T Barker,Tyrone Rees, Martin Stoll;
Accepted to Communications in Computational Physics  :  
2015.
@String{SIAMSciComp = \"{SIAM} J. Sci. Comput.\" } @Article{BaeBSetal15,
author = \"B{\"a}nsch,
E. and Benner,
P. and Saak,
J. and Weichelt,
H.~K.\",
title = \"{R}iccati-based boundary feedback stabilization of incompressible {N}avier-{S}tokes flows\",
year = 2015,
number = 2,
journal = SIAMSciComp,
volume = 37,
pages = {A832--A858},
doi = {10.1137/140980016} }
Riccati-Based Boundary Feedback Stabilization of Incompressible Navier-Stokes Flow;
Bänsch, Eberhard; Benner, Peter; Saak, Jens; Weichelt, Heiko K.;
SIAM Journal on Scientific Computing  :  Vol. 37, No. 2, pages A832--A858;
2015. ISBN/ISSN: DOI:10.1137/14098001
Early version available as SPP1253 Preprint: SPP1253-154.
384Inexact Kleinman-Newton-ADI Method with Line Search to Solve Large-Scale Algebraic Riccati Equations;
Benner, Peter; Heinkenschloss, Matthias; Saak, Jens; Weichelt, Heiko K.;
ScienceOpen Posters  :  Numerical Algebra, Matrix Theory, Differential-Algebraic Equations, and Control Theory;
ScienceOpen; 2015.
@article {FreK14,
author = {Freitag,
Melina A. and K{\"u}rschner,
Patrick},
title = {Tuned preconditioners for inexact two-sided inverse and Rayleigh quotient iteration},
journal = {Numerical Linear Algebra with Applications},
issn = {1099-1506},
url = {http://onlinelibrary.wiley.com/doi/10.1002/nla.1945/},
doi = {10.1002/nla.1945},
pages = {175--196},
volume={22},
number={1},
year = {2014},
}
Tuned preconditioners for inexact two-sided inverse and Rayleigh quotient iteration;
Freitag, Melina; Kürschner, Patrick;
Numerical Linear Algebra with Applications  :  22(1), pp. 175--196;
2015.
@TECHREPORT{BosS15b,
author = {Bosch,
J. and Stoll,
M.},
title = {A fractional inpainting model based on the vector-valued {C}ahn--{H}illiard equation},
journal = {SIAM J. Imaging Sci.},
volume = {8},
number = {4},
pages = {2352--2382},
year = {2015},
doi = {10.1137/15M101405X},
URL = {http://dx.doi.org/10.1137/15M101405X},
eprint = {http://dx.doi.org/10.1137/15M101405X} }
A fractional inpainting model based on the vector-valued Cahn--Hilliard equation;
Jessica Bosch, Martin Stoll;
SIAM Journal on Imaging Sciences  :  Vol. 8, No. 4, pp. 2352-2382;
2015.
@TECHREPORT{BosS15a,
author = {Bosch,
J. and Stoll,
M.},
title = {Preconditioning for vector-valued {C}ahn--{H}illiard equations},
journal = {SIAM J. Sci. Comput.},
volume = {37},
number = {5},
pages = {S216--S243},
year = {2015},
doi = {10.1137/14M0973633},
URL = {http://dx.doi.org/10.1137/14M0973633},
eprint = {http://dx.doi.org/10.1137/14M0973633} }
Preconditioning for vector-valued Cahn-Hilliard equations;
Jessica Bosch, Martin Stoll;
SIAM Journal on Scientific Computing  :  Vol. 37, No. 5, pp. S216-S243;
2015.
402Some a posteriori error bounds for reduced order modelling of (non-)parametrized Linear Systems.;
L. Feng, A. C. Antoulas, and P. Benner;
Max Planck Institute preprint, MPIMD/15-17.  :  
2015.
392A fully adaptive scheme for model order reduction based on moment-matching;
L. Feng, J. G. Korvink, P. Benner;
IEEE Transactions on Components, Packaging and Manufacturing Technology  :  5(12):1872-1884;
2015.
403A new interpolatory model reduction approach for quadratic bilinear descriptor systems;
M. I. Ahmad, P. Benner, and L. Feng;
Proceedings in Applied Mathematics and Mechanics  :  15: 589--590;
2015.
390Nonlinear model reduction of a continuous fluidized bed crystallizer.;
M. Mangold, L. Feng, D. K. Khlopov, S. Palis, P. Benner, D. Binev, A. S. Morgenstern;
Journal of Computational and Applied Mathematics  :  Volume 289, pp. 253–266;
Elsevier; 2015.
doi:10.1016/j.cam.2015.01.028.
407Model order reduction of an electro-thermal package model;
N. Banagaaya, L. Feng, P. Meuris, W. Schoenmaker, and P. Benner;
IFAC-PapersOnLine, 8th Vienna International Conference on Mathematical Modelling MATHMOD 2015  :  48: 934--935;
2015.
423Model order reduction of an electro-thermal package model;
N. Banagaaya, L. Feng, P. Meuris, W. Schoenmaker, P. Benner;
IFAC-PapersOnLine  :  Vol. 48, No. 1, pp. 934-935;
ELSEVIER; 2015.
@ARTICLE{LanMS15,
author = {Lang,
N. and Mena,
H. and Saak,
J.},
title = {On the benefits of the $LDL^T$ factorization for large-scale differential matrix equation solvers },
journal = {Linear Algebra and its Applications},
publisher = {Elsevier},
volume = {480},
month = sep,
year = 2015,
pages = {44--71},
doi = {10.1016/j.laa.2015.04.006},
}
On the benefits of the LDLT factorization for large-scale differential matrix equation solvers;
Norman Lang, Hermann Mena, Jens Saak;
Linear Algebra and its Applications  :  Volume 480, Pages. 44-71;
Elsevier; 2015.
DOI: 10.1016/j.laa.2015.04.006.
@InCollection{morLanSB15,
author = {Norman Lang,
Jens Saak,
Peter Benner},
title = {{M}odel {O}rder {R}eduction for {T}hermo-{E}lastic {A}ssembly {G}roup {M}odels},
booktitle = {{T}HERMO-{E}NERGETIC {D}ESIGN OF {M}ACHINE {T}OOLS},
publisher = {Springer International Publishing},
address = {Switzerland},
isbn = {978-3-319-12624-1},
doi = {10.1007/978-3-319-12625-8_8},
year = {2015},
chapter = {8},
pages = {85--93},
}
Model Order Reduction for Thermo-Elastic Assembly Group Models;
Norman Lang, Jens Saak, Peter Benner;
in Knut Großmann: Thermo-energetic Design of Machine Tools  :  Lecture Notes in Production Engineering; pages 85-93;
Springer International Publishing; 2015. ISBN/ISSN: 978-3-319-12624-1
DOI: 10.1007/978-3-319-12625-8_8.
@ARTICLE{LanSBetal15,
author = {{Lang},
N. and {Saak},
J. and {Benner},
P. and {Ihlenfeldt},
S. and {Nestmann},
S. and {Sch{\"a}dlich},
K.},
title = {Towards the identification of heat induction in chip removing processes via an optimal control approach},
issn = {0944-6524},
journal = {Production Engineering},
doi = {10.1007/s11740-015-0608-9},
publisher = {Springer Berlin Heidelberg},
year = 2015,
volume = {9},
number = {3},
pages = {343--349} }
Towards the Identification of Heat Induction in Chip Removing Processes via an Optimal Control Approach;
Norman Lang, Jens Saak, Peter Benner, Steffen Ihlenfeldt, Steffen Nestmann, Klaus Schädlich;
Production Engineering Research & Development  :  Volume 9, Issue 3, Pages 343-349;
Springer Berlin Heidelberg; 2015. ISBN/ISSN: 0944-6524, 1863-7353
DOI: 10.1007/s11740-015-0608-9.
@article{LanSS15,
title = {Towards Practical Implementations of Balanced Truncation for {LTV} Systems},
journal = {IFAC-PapersOnLine},
volume = {48},
number = {1},
pages = {7--8},
year = {2015},
issn = {2405-8963},
doi = {http://dx.doi.org/10.1016/j.ifacol.2015.05.135},
url = {http://www.sciencedirect.com/science/article/pii/S2405896315001366},
author = {N.~Lang and J.~Saak and T.~Stykel},
}
Towards Practical Implementations of Balanced Truncation for LTV Systems;
Norman Lang, Jens Saak, Tatjana Stykel;
IFAC-PapersOnLine  :  Volume 48, Issue 1, Pages: 7-8;
Elsevier; 2015. ISBN/ISSN: 2405-8963
DOI: 10.1016/j.ifacol.2015.05.135.
@INPROCEEDINGS{BenD15,
author = {Peter Benner,
Jonas Deni{\ss}en},
title = {{E}hrlich-{A}berth iteration for vibrational systems },
journal = {Proceedings of {IC}o{EV} 2015},
year = {2015},
pages = {1540--1548},
}
Ehrlich-Aberth iteration for vibrational systems
P. Benner and J. Denißen;
in Miha Boltežar, Janko Slavić, Marian Wiercigroch: Proceedings of ICoEV 2015  :  Pages: 1540–1548;
2015.
389Model Order Reduction for Coupled Problems;
P. Benner and L. Feng;
Applied and Computational Mathematics: an international journal  :  14(1):3-22;
2015.
401Matrix equations and model reduction. ;
P. Benner, T. Breiten, and L. Feng;
Matrix Functions and Matrix Equations  :  Series in Contemporary Applied Mathematics, Chapter 3, pp. 50-75;
World Scientific; 2015.
@TECHREPORT{MPIMD15-07,
author = {Pawan Goyal and Mian Ilyas Ahmad and Peter Benner},
title = {Krylov Subspace-based Model Reduction for a Class of Bilinear Descriptor Systems},
number = {MPIMD/15-07},
month = may,
year = 2015,
institution = {Max Planck Institute Magdeburg},
type = {Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}
Krylov Subspace-based Model Reduction for a Class of Bilinear Descriptor Systems;
Pawan Goyal, Mian Ilyas Ahmad, Peter Benner;
MPIMD/15-07, MPI Magdeburg Preprints  :  
2015.
381Block-diagonal preconditioning for optimal control problems constrained by PDEs with uncertain inputs;
Peter Benner, Akwum Onwunta, Martin Stoll;
2015.
@article{morBenG14,
title={{Model Order Reduction for a family of linear systems with applications in parametric and uncertain systems}},
author={Benner,
Peter and Grundel,
Sara},
journal={Applied Mathematics Letters},
volume={39},
pages={1--6},
year={2015},
publisher={Elsevier} }
Model Order Reduction for a family of linear systems with applications in parametric and uncertain systems;
Peter Benner, Sara Grundel;
Applied Mathematics Letters  :  Vol. 39 ;
Elsevier; 2015.
386Low-rank solvers for unsteady Stokes-Brinkman optimal control problem with random data;
Peter Benner, Sergey Dolgov, Akwum Onwunta and Martin Stoll;
2015.
444Interview: "Energiesparende Algorithmen?: Hochleistungsrechner auf dem Prüfstand"
Saak, Jens; Remón, Alfredo;
Laborpraxis  :  39, pp. 16 -17;
2015.
331Parametric Model Order Reduction with a Small $\\\\mathcal{H}_2$-Error Using Radial Basis Functions;
Sara Grundel, Nils Hornung, Peter Benner;
Advances in Computational Mathematics  :  
Springer; 2015.
377Fast tensor product solvers for optimization problems with fractional differential equations as constraints;
Sergey Dolgov, John W. Pearson, Dmitry V. Savostyanov, Martin Stoll;
2015.
324Low-rank solvers for fractional differential equations.;
Tobias Breiten, Valeria Simoncini, Martin Stoll;
2015.
405Application of Krylov-type parametric model order reduction in efficient uncertainty quantification of electro-thermal circuit models;
Y. Yue, L. Feng, P. Meuris, W. Schoenmaker, and P. Benner;
Proceedings of the Progress In Electromagnetics Research Symposium (PIERS 2015)  :  pp.379--384;
2015.
406An efficient output error bound for model order reduction of parametrized evolution equations;
Y. Zhang, L. Feng, S. Li, and P. Benner;
IFAC-PapersOnLine, 8th Vienna International Conference on Mathematical Modelling MATHMOD 2015  :  48: 9--10;
2015.
388 Accelerating PDE constrained optimization by the reduced basis method: application to batch chromatography;
Y. Zhang, L. Feng, S. Li, P. Benner;
International Journal for Numerical Methods in Engineering  :  104:983-1007;
2015.
393An efficient output error estimation for model order reduction of parametrized evolution equations;
Y. Zhang, L. Feng, S. Li, P. Benner;
SIAM Journal on Scientific Computing  :  37(6):B910–B936;
2015.
Max Planck Institute preprint, MPIMD 14-22, 2014.

2014

332Domain Decomposition in time for PDE-constrained optimization;
Andrew T. Barker, Martin Stoll;
2014.
@String{PAMM = \"Proc. Appl. Math. Mech.\" }
@String{WileyVCH = \"WILEY-VCH Verlag\" }
@Article{BarKPetal14,
author = {B. Baran and M. Köhler and N. Prasad and J. Saak},
title = {Numerical Solution of Large Scale Sparse Matrix Equations in {P}ython},
journal = PAMM,
year = {2014},
volume = 14,
number = 1,
pages = {959--960},
month = dec }
Numerical Solution of Large Scale Sparse Matrix Equations in Python;
B. Baran, M. Köhler, N. Prasad and J. Saak;
Proc. Appl. Math. Mech.  :  Volume 14, Issue 1, Pages: 959-960;
WILEY-VCH Verlag; 2014.
DOI: 10.1002/pamm.201410460.
@incollection{BaeBSW14,
author = {E. B{\"a}nsch and P. Benner and J. Saak and H.~K. Weichelt},
title = {Optimal Control-Based Feedback Stabilization of Multi-Field Flow Problems},
booktitle = {Trends in PDE Constrained Optimization},
editor = {G\"unter Leugering and Peter Benner and Sebastian Engell and Andreas Griewank and Helmut Harbrecht and Michael Hinze and Rolf Rannacher and Stefan Ulbrich},
series = {International Series of Numerical Mathematics},
volume = 165,
publisher = {Birkh{\"a}user},
year = {2014},
pages = {173--188} }
Optimal Control-Based Feedback Stabilization of Multi-Field Flow Problems;
Bänsch, Eberhard; Benner, Peter; Saak, Jens; Weichelt, Heiko K.;
in Leugering, Günter; Benner, Peter; Engell, Sebastian; Griewank, Andreas; Harbrecht, Helmut; Hinze, Michael; Rannacher, Rolf; Ulbrich, Stefan: Trends in PDE Constrained Optimization  :  International Series of Numerical Mathematics, Vol. 165, pages 173-188;
Birkhäuser; 2014. ISBN/ISSN: 978-3-319-05082-9
@incollection{ year={2014},
isbn={978-3-319-09152-5},
booktitle={Computational Science and Its Applications – ICCSA 2014},
volume={8584},
series={Lecture Notes in Computer Science},
editor={Murgante,
Beniamino and Misra,
Sanjay and Rocha,
AnaMariaA.C. and Torre,
Carmelo and Rocha,
JorgeGustavo and Falcão,
MariaIrene and Taniar,
David and Apduhan,
BernadyO. and Gervasi,
Osvaldo},
doi={10.1007/978-3-319-09153-2_29},
title={Accelerating Band Linear Algebra Operations on GPUs with Application in Model Reduction},
url={http://dx.doi.org/10.1007/978-3-319-09153-2_29},
publisher={Springer International Publishing},
keywords={Band linear systems; linear algebra; graphics processors (GPUs); high performance; control theory},
author={Benner,
Peter and Dufrechou,
Ernesto and Ezzatti,
Pablo and Igounet,
Pablo and Quintana-Ortí,
EnriqueS. and Remón,
Alfredo},
pages={386-400},
language={English} }
Accelerating Band Linear Algebra Operations on GPUs with Application in Model Reduction;
Benner, Peter; Dufrechou, Ernesto; Ezzatti, Pablo; Quintana-Ortí, Enrique S.; Remón, Alfredo;
in Murgante, Beniamino and Misra, Sanjay and Rocha, AnaMariaA.C. and Torre, Carmelo and Rocha, JorgeGustavo and Falcão, MariaIrene and Taniar, David and Apduhan, BernadyO. and Gervasi, Osvaldo: Computational Science and Its Applications – ICCSA 2014  :  Vol. 8584 of Lecture Notes in Computer Science;
Springer International Publishing; 2014. ISBN/ISSN: 978-3-319-09152-5
@article{BenEQetal14b,
author = {Benner,
P. and Ezzatti,
P. and Quintana{-}Ort{\\'{\i}} E.~S. and Rem{\\'{o}}n,
A.},
title = {Trading Off Performance for Energy in Linear Algebra Operations with Applications in Control Theory},
journal = {{CLEI Electronic Journal}},
volume = {17},
pages = {4--4},
year = {2014} }
Trading Off Performance for Energy in Linear Algebra Operations with Applications in Control Theory;
Benner, Peter; Ezzatti, Pablo; Quintana-Ortí, Enrique S.; Remón, Alfredo;
CLEI Electronic Journal  :  Vol. 17;
2014. ISBN/ISSN: 0717- 5000
346A factored variant of the Newton iteration for the solution of algebraic Riccati equations via the matrix sign function;
Benner, Peter; Ezzatti, Pablo;Quintana-Ortí, Enrique S. ; Remón, Alfredo; ;
Numerical Algorithms  :  Vol. 62 Issue 2;
Springer US; 2014. ISBN/ISSN: 1017-1398
@ARTICLE{BenKS14,
author = {Peter Benner and Martin K\"{o}hler and Jens Saak},
title = {Fast Approximate Solution of the Non-Symmetric Generalized Eigenvalue Problem on Multicore Architectures},
journal = {Parallel Computing: Accelerating Computational Science and Engineering (CSE)},
year = {2014},
volume = {Vol. 25 of Advances in Parallel Computing},
pages = {143 - 152},
owner = {koehlerm},
quality = {1},
timestamp = {2014.04.22} }
Fast Approximate Solution of the Non-Symmetric Generalized Eigenvalue Problem on Multicore Architectures;
Benner, Peter; Köhler, Martin; Saak, Jens;
in Michael Bader, Arndt Bode, Hans-Joachim Bungartz, Michael Gerndt, Gerhard R. Joubert, Frans Peters:  Parallel Computing: Accelerating Computational Science and Engineering (CSE)  :  Vol. 25 of Advances in Parallel Computing;
IOS Press; 2014. ISBN/ISSN: 978-1-61499-380-3
@String{PAMM = \"Proc. Appl. Math. Mech.\" }
@String{WileyVCH = \"WILEY-VCH Verlag\" }
@Article{BenKS14a,
author = {Benner,
P. and K\"ohler,
M. and Saak,
J.},
title = {A Cache-Aware Implementation of the Spectral Divide-and-Conquer Approach for the Non-Symmetric Generalized Eigenvalue Problem},
journal = PAMM,
year = {2014},
publisher = WileyVCH,
doi = {10.1002/pamm.201410390},
volume = {14},
number = {1},
pages = {819--820},
month = dec }
A Cache-Aware Implementation of the Spectral Divide-and-Conquer Approach for the Non-Symmetric Generalized Eigenvalue Problem;
Benner, Peter; Köhler, Martin; Saak, Jens;
Proceedings in Applied Mathematics and Mechanics  :  Volume 14, Issue 1, Pages: 819-820;
WILEY VCH Verlag; 2014.
DOI: 10.1002/pamm.201410390.
@Article{ BenK14,
title = {Computing Real Low-rank Solutions of {S}ylvester equations by the Factored {ADI} Method},
author = {P. Benner and P. K{\"u}rschner},
journal = {Comput. Math. Appl.},
pages = {1656--1672},
volume = {67},
number = {9},
year = 2014,
issn = {0898-1221},
note = {Preprint available from \url{http://www.mpi-magdeburg.mpg.de/preprints/2013/05/}},
doi = {10.1016/j.camwa.2014.03.004} }
Computing Real Low-rank Solutions of Sylvester equations by the Factored ADI Method;
Benner, Peter; Kürschner, Patrick;
Computers and Mathematics with Applications  :  67(9), pp. 1656-1672;
Elsevier; 2014. ISBN/ISSN: 0898-1221
doi:10.1016/j.camwa.2014.03.004.
@ARTICLE{BenKS14,
author = {Peter Benner and Patrick K{\"u}rschner and Jens Saak},
title = {Self-Generating and Efficient Shift Parameters in ADI Methods for Large Lyapunov and Sylvester Equations},
year = 2014,
journal = {Electronic Transaction on Numerical Analysis},
number=43,
pages={142-162},
doi={10.17617/2.2071065},
note = {Early version available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}
Self-Generating and Efficient Shift Parameters in ADI Methods for Large Lyapunov and Sylvester Equations;
Benner, Peter; Kürschner, Patrick; Saak, Jens;
Electronic Transaction on Numerical Analysis   :  43, pp. 142-162;
2014.
@article{BenSSetal14,
author = {P. Benner and J. Saak and F. Schieweck and P. Skrzypacz and H.~K. Weichelt },
title = {A Non-Conforming Composite Quadrilateral Finite Element Pair for Feedback Stabilization of the {S}tokes Equations },
number = 3,
month = oct,
year = 2014,
journal = {Journal of Numerical Mathematics},
volume = 22,
pages = {191--220},
}
A Non-Conforming Composite Quadrilateral Finite Element Pair for Feedback Stabilization of the Stokes Equations;
Benner, Peter; Saak, Jens; Schieweck, Friedhelm; Skrzypacz, Piotr; Weichelt, Heiko K.;
Journal of Numerical Mathematics  :  Vol. 22, No. 3, pages 191-220;
deGruyter; 2014. ISBN/ISSN: 1570-2820
Earlier version as MPI-Preprint: MPIMD12-19.
@InProceedings{BenSSW14,
author = {{Benner},
P. and {Saak},
J. and {Stoll},
M. and {Weichelt},
H.~K.},
title = {Efficient Solvers for Large-Scale Saddle Point Systems Arising in Feedback Stabilization of Multi-Field Flow Problems},
booktitle = {System Modeling and Optimization},
editor = {Christian P\"otzsche and Clemens Heuberger and Barbara Kaltenbacher and Franz Rendl},
series = {{IFIP} Advances in Information and Communication Technology},
publisher = {Springer},
year = 2014,
volume = 443,
pages = {11--20} }
Efficient Solvers for Large-Scale Saddle Point Systems Arising in Feedback Stabilization of Multi-Field Flow Problems;
Benner, Peter; Saak, Jens; Stoll, Martin; Weichelt, Heiko K.;
in Christian Pötzsche, Clemens Heuberger, Barbara Kaltenbacher, and Franz Rendl, eds.: System Modeling and Optimization  :  IFIP Advances in Information and Communication Technology, Vol. 443, pages 11-20;
Springer; 2014. ISBN/ISSN: 978-3-662-45504-3
@ARTICLE{BenV14,
author = {Peter Benner and Matthias Voigt},
title = {A Structured Pseudospectral Method for $\mathcal{H}_\infty$-Norm Computation of Large-Scale Descriptor Systems},
journal = {Mathematics of Control,
Signals,
and Systems},
volume = {26},
number = {2},
pages = {2014} month = {June},
year = {2014},
publisher = {Springer-Verlag},
address = {London},
doi = {10.1007/s00498-013-0121-7},
}
A Structured Pseudospectral Method for H-Norm Computation of Large-Scale Descriptor Systems;
Benner, Peter; Voigt, Matthias;
Mathematics of Control, Signals, and Systems  :  Vol. 26, No. 2, pp. 303-338;
Springer-Verlag London; 2014. ISBN/ISSN: 0932-4194
DOI: 10.1007/s00498-013-0121-7.
Old version available as preprint MPIMD/12-10.
355Distributed Optimal Control Problems Governed by Coupled Convection Dominated PDEs with Control Constraints
Hamdullah Yücel, and Peter Benner;
2014.
Proceedings of ENUMATH 2013 Conference.
@article{doi:10.1080/02331934.2013.801474,
author = {Yücel,
Hamdullah and Karasozen,
Bülent},
title = {Adaptive Symmetric Interior Penalty Galerkin (SIPG) method for optimal control of convection diffusion equations with control constraints},
journal = {Optimization},
volume = {63},
number = {1},
pages = {145-166},
year = {2014},
doi = {10.1080/02331934.2013.801474},
URL = { http://dx.doi.org/10.1080/02331934.2013.801474 },
eprint = { http://dx.doi.org/10.1080/02331934.2013.801474 } }
Adaptive symmetric interior penalty Galerkin SIPG method for optimal control of convection diffusion equations with control constraints;
Hamdullah Yücel, Bülent Karasözen;
Optimization  :  Vol. 63, pp. 145 - 166;
2014.
306Adaptive discontinuous Galerkin methods for state constrained optimal control problems governed by convection diffusion equations;
Hamdullah Yücel, Peter Benner;
Computational Optimization and Applications  :  
2014.
@ARTICLE{morHesB14,
author = {M. W. Hess and P. Benner},
title = {A {R}educed {B}asis {M}ethod for {M}icrowave {S}emiconductor {D}evices with {G}eometric {V}ariations},
journal = {COMPEL - The international journal for computation and mathematics in electrical and electronic engineering},
year = {2014},
volume = {33},
number = {4},
pages = {1071 - 1081},
doi = {10.1108/COMPEL-12-2012-0377} }
A Reduced Basis Method for Microwave Semiconductor Devices with Geometric Variations;
Hess, Martin; Benner Peter;
COMPEL  :  Vol. 33 of;
2014.
@INPROCEEDINGS{DenKMetal14,
author = {J.~Deni{\ss}en,
A.~Koskela,
H.~Mena,
Z.~Tomljanovi\'{c}},
title = {Damping optimization in vibrational systems based on amplitude},
booktitle = {Proc. Intl. Symp. Math. Theory Networks and Syst. MTNS~2014},
year = {2014},
pages = {1222--1227},
isbn = {978-90-367-6321-9},
}
Damping optimization in vibrational systems based on amplitude
J. Denißen, A. Koskela, H. Mena and Z. Tomljanović;
Proc. Intl. Symp. Math. Theory Networks and Syst. MTNS 2014  :  Pages: 1222–1227;
2014. ISBN/ISSN: 978-90-367-6321-9
@article{BosSB14,
author = {Bosch,
J. and Stoll,
M. and Benner,
P.},
title = {Fast solution of {C}ahn--{H}illiard variational inequalities using implicit time discretization and finite elements},
journal = {J. Comput. Phys.},
volume = {262},
pages = {38--57},
year = {2014},
doi = {http://dx.doi.org/10.1016/j.jcp.2013.12.053},
url = {http://www.sciencedirect.com/science/article/pii/S0021999114000084} }
Fast solution of Cahn-Hilliard Variational Inequalities using Implicit Time Discretization and Finite Elements;
Jessica Bosch, Martin Stoll, Peter Benner: ;
Journal of Computational Physics  :  Vol. 262, pp. 38-57;
2014.
376Polynomial Root Radius Optimization with Affine Constraints
Julie Eaton, Sara Grundel, Mert Gürbüzbalaban, Michael Overton;
Vol. ?? of;
2014.
@InProceedings{morHunS14,
author = {M. Hund and J. Saak},
title = {Numerische {A}spekte der {Zeitbereichs-MOR} mittels orthogonaler {P}olynome},
booktitle = {Tagungsband des GMA-Fachausschusses 1.30 \"Modellbildung,
Identifikation und Simulation in der Automatisierungstechnik\"},
year = 2014,
editor = {Sawodny,
O. and Adamy,
J.},
organization = {Institut f\"ur Automatisierungstechnik und Mechatronik},
publisher = {Technische Universit\"at Darmstadt},
pages = {176-185} }
Numerische Aspekte der Zeitbereichs-MOR mittels orthogonaler Polynome
Manuela Hund and Jens Saak;
in Sawodny, Oliver; Adamy, Jürgen: Tagungsband des GMA-Fachausschusses 1.30 „Modellbildung, Identifikation und Simulation in der Automatisierungstechnik“  :  pp. 176--185;
Technische Universität Darmstadt, Institut für Automatisierungstechnik und Mechatronik; 2014. ISBN/ISSN: 978-3-9815012-5-4
374Estimating the Inf-Sup Constant in Reduced Basis Methods for Time-Harmonic Maxwell’s Equations;
Martin Hess, Sara Grundel, Peter Benner;
Vol. ?? of;
2014.
@TechReport{KoeS14,
URL = \"http://www.netlib.org/lapack/lawnspdf/lawn284.pdf\",
number = 284,
institution = \"LAPACK Working Note\",
author = \"M. K{\"o}hler and J. Saak\",
title = \"{FlexiBLAS} - {A} flexible {BLAS} library with runtime exchangeable backends\",
month = jan,
year = 2014,
}
FlexiBLAS: A flexible BLAS library with runtime exchangeable backends;
Martin Köhler and Jens Saak;
Lapack Working Note #284;
2014.
333Fast Solvers for Optimal Control Problems from Pattern Formation;
Martin Stoll, John W Pearson, Philip K Maini;
2014.
@String{PAMM = \"Proc. Appl. Math. Mech.\" }
@String{WileyVCH = \"WILEY-VCH Verlag\" }
@Article{LanMS14,
title = {An {$LDL^T$} factorization based {ADI} algorithm for solving large scale differential matrix equations},
author = {N. Lang and H. Mena and J. Saak},
publisher = WileyVCH,
journal = PAMM,
volume = 14,
number = 1,
year = 2014,
url = {http://onlinelibrary.wiley.com/doi/10.1002/pamm.201410394/abstract},
doi = {10.1002/pamm.201410394},
pages = {827--828} }
An LDLT factorization based ADI algorithm for solving large-scale differential matrix equations;
Norman Lang, Hermann Mena, Jens Saak;
Proceedings in Applied Mathematics and Mechanics  :  Volume 14, Issue 1, Pages: 827–828;
WILEY-VCH Verlag; 2014.
DOI: 10.1002/pamm.201410394.
@Article{morLanSB14,
author = {Lang,
Norman and Saak,
Jens and Benner,
Peter},
title = {Model Order Reduction for Systems with Moving Loads},
journal = {at-Automatisierungstechnik},
year = 2014,
volume = 62,
number = 7,
pages = {512--522},
month = {June},
publisher = {deGruyter},
doi = {10.1515/auto-2014-1095} }
Model Order Reduction for Systems with Moving Loads;
Norman Lang, Jens Saak, Peter Benner;
in De Gruyter Oldenbourg: at-Automatisierungstechnik  :  Volume 62, Issue 7, Pages 512-522;
2014. ISBN/ISSN: 0178-2312, 2196-677X
DOI: 10.1515/auto-2014-1095.
@INPROCEEDINGS{BenD14,
author = {Peter Benner and Jonas Deni{\ss}en},
title = {Spectral Bounds on the Solution of Linear Time-Periodic Systems},
journal = {Proceedings in Applied Mathematics and Mechanics},
publisher = {WILEY-VCH Verlag},
year = {2014},
volume = {14},
number = {1},
url = {http://dx.doi.org/10.1002/pamm.201410412},
doi = {10.1002/pamm.201410412},
pages = {863--864},
}
Spectral Bounds on the Solution of Linear Time-Periodic Systems;
P. Benner and J. Denißen;
Proceedings in Applied Mathematics and Mechanics  :  Volume 14, Issue 1, Pages: 863–864;
WILEY-VCH Verlag; 2014.
422nanoCOPS: Parametric Modeling and Model Order Reduction of Coupled Problems;
P. Benner, L. Feng, W. Schoenmaker, P. Meuris;
ECMI Newsletter  :  56, pp. 68-69;
2014.
304A robust algorithm for parametric model order reduction based on implicit moment matching;
Peter Benner and Lihong Feng;
in A. Quarteroni, G. Rozza: Reduced Order Methods for modeling and computational reduction  :  MS&A Series, Vol 9, page 159-186;
Springer; 2014.
341Reduced-order modeling and ROM-based optimization of batch chromatography;
Peter Benner, Lihong Feng, Suzhou Li, Yongjin Zhang;
Lecture Notes in Computational Science and Engineering, proceedings of ENUMATH 2013  :  Vol. 103, Pages 427-435;
Springer; 2014.
DOI:10.1007/978-3-319-10705-9_42.
@INPROCEEDINGS{ReiV14b,
author = {Timo Reis and Matthias Voigt},
title = {Solution of Descriptor Lur\\'e Equations via Even Matrix Pencils},
booktitle = {Proceedings in Applied Mathematics and Mechanics},
volume = {14},
number = {1},
year = {2014},
note = {Submitted},
}
Solution of Descriptor Lur\'e Equations via Even Matrix Pencils;
Reis, Timo; Voigt, Matthias;
Proceedings in Applied Mathematics and Mechanics  :  
Wiley InterScience; 2014.
Submitted.
@INPROCEEDINGS{ReiV14a,
author = {Timo Reis and Matthias Voigt},
title = {The Dissipation Inequality for Differential-Algebraic Systems},
booktitle = {Proceedings in Applied Mathematics and Mechanics},
volume = {14},
number = {1},
year = {2014},
note = {Submitted},
}
The Dissipation Inequality for Differential-Algebraic Systems;
Reis, Timo; Voigt, Matthias;
Proceedings in Applied Mathematics and Mechanics  :  
Wiley InterScience; 2014.
Submitted.
363Model reduction for linear simulated moving bed chromatography systems using Krylov-subspace methods;
S. Li, Y. Yue, L. Feng, P. Benner, A. Seidel-Morgenstern;
AIChE Journal  :  60:3773--3783;
2014.
.
@book{grundel2014model,
title={Model Order Reduction of Differential Algebraic Equations Arising from the Simulation of Gas Transport Networks. DAE-Forum: Progress in Differential-Algebraic Equations-Deskriptor 2013},
author={Grundel,
S and Jansen,
L and Hornung,
N and Clees,
T and Tischendorf,
C and Benner,
P},
year={2014},
publisher={Springer} }
Model Order Reduction of Differential Algebraic Equations Arising from the Simulation of Gas Transport Networks;
Sara Grundel, Lennart Jansen, Nils Hornung, Tanja Clees, Caren Tischendorf, Peter Benner;
Springer; 2014.
@article{grundel2014variational,
title={Variational analysis of the spectral abscissa at a matrix with a nongeneric multiple eigenvalue},
author={Grundel,
Sara and Overton,
Michael L},
journal={Set-Valued and Variational Analysis},
volume={22},
number={1},
pages={19--43},
year={2014},
publisher={Springer} }
Variational Analysis of the Spectral Abscissa at a Matrix with a Nongeneric Multiple Eigenvalue;
Sara Grundel, Michael Overton;
Set-Valued and Variational Analysis  :   DOI 10.1007/s11228-013-0234-7;
Springer; 2014.
339Using surrogate models for efficient optimization of simulated moving bed chromatography;
Suzhou Li, Lihong Feng, Peter Benner, Andreas Seidel-Morgenstern;
Computers and Chemincal Engineering  :  121-132 Vol. 67 ;
2014.
DOI: 10.1016/j.compchemeng.2014.03.024.
@article{ year={2014},
issn={0926-6003},
journal={Computational Optimization and Applications},
volume={57},
number={3},
doi={10.1007/s10589-013-9601-4},
title={A priori error analysis of the upwind symmetric interior penalty Galerkin (SIPG) method for the optimal control problems governed by unsteady convection diffusion equations},
url={http://dx.doi.org/10.1007/s10589-013-9601-4},
publisher={Springer US},
keywords={Unsteady convection diffusion equations; Optimal control; Discontinuous Galerkin methods; A priori error estimates},
author={Akman,
Tuğba and Yücel,
Hamdullah and Karasözen,
Bülent},
pages={703-729},
language={English} }
A priori error analysis of the upwind SIPG method for the optimal control problems governed by unsteady convection diffusion equations;
Tuğba Akman, Hamdullah Yücel, Bülent Karasözen;
Computational Optimization and Applications  :  Vol. 57, pp 703-729;
2014.
@ARTICLE{morBauBB14,
author = {U. Baur and C.~A. Beattie and P. Benner},
title = {Mapping parameters across system boundaries: parameterized model reduction with low-rank variability in dynamics},
journal = {Proc. Appl. Math. Mech.},
year = 2014,
publisher = {WILEY-VCH Verlag},
volume = 14,
pages = {19--22},
number = 1,
month = dec,
organization = {GAMM},
doi = {10.1002/pamm.201410006} }
Mapping parameters across system boundaries: parameterized model reduction with low rank variability in dynamics;
Ulrike Baur, Christopher Beattie and Peter Benner;
in P. Steinmann and G. Leugering: Proc. Appl. Math. Mech.  :  Vol. 14 ;
WILEY-VCH Verlag; 2014. ISBN/ISSN: 1617-7061
@ARTICLE{morBauBF14,
author = {U. Baur and P. Benner and L. Feng},
title = {Model Order Reduction for Linear and Nonlinear Systems: A System-Theoretic Perspective},
journal = {Arch. Comput. Methods Eng.},
year = 2014,
doi = {10.1007/s11831-014-9111-2},
volume = 21,
number = 4,
pages = {331--358} }
Model order reduction for linear and nonlinear systems: a system-theoretic perspective;
Ulrike Baur, Peter Benner, Lihong Feng;
Archives of Computational Methods in Engineering  :  
Springer; 2014.
DOI:10.1007/s11831-014-9111-2.
365Using model order reduction to accelerate optimization of multi-stage linear dynamical systems;
Y. Yue Y. Yue, S. Li, L. Feng, A. Seidel-Morgenstern, P. Benner;
in Aurelio Araujo: Engineering Optimization 2014  :  pages 453--458;
CRC Press; 2014.
DOI:10.1201/b17488-80.
364Efficient model reduction of SMB chromatography by Krylov-subspace method with application to uncertainty quantification;
Y. Yue, S. Li, L. Feng, A. Seidel-Morgenstern, P. Benner;
in J. J. Klemes and P. S. Varbanov and P. Y. Liew: 24th European Symposium on Computer Aided Process Engineering  :  Computer Aided Chemical Engineering, Vol 33, pages 925--930;
Elsevier; 2014.
DOI:10.1016/B978-0-444-63456-6.50155-1.
@article{KanarSeymen2014146,
title = \"Distributed optimal control of time-dependent diffusion-convection-reaction equations using space-time discretization \",
journal = \"Journal of Computational and Applied Mathematics \",
volume = \"261\",
number = \"0\",
pages = \"146 - 157\",
year = \"2014\",
note = \"\",
issn = \"0377-0427\",
doi = \"http://dx.doi.org/10.1016/j.cam.2013.11.006\",
url = \"http://www.sciencedirect.com/science/article/pii/S0377042713006250\",
author = \"Z. Kanar Seymen and H. Yücel and B. Karasözen\",
keywords = \"Optimal control problems\",
keywords = \"Stabilized finite elements\",
keywords = \"Convection dominated problems\",
keywords = \"Pointwise inequality constraints\",
keywords = \"\{COMSOL\} Multiphysics \",
abstract = \"Abstract We apply two different strategies for solving unsteady distributed optimal control problems governed by diffusion–convection–reaction equations. In the first approach,
the optimality system is transformed into a biharmonic equation in the space–time domain. The system is then discretized in space and time simultaneously and solved by an equation-based finite element package,
i.e.,
\{COMSOL\} Multiphysics. The second approach is a classical gradient-based optimization method to solve the state and adjoint equations and the optimality condition iteratively. The convection-dominated state and adjoint equations are stabilized using the streamline upwind/Petrov–Galerkin (SUPG) method. Numerical results show favorable accuracy and efficiency of the two strategies for unstabilized and stabilized numerical solutions. \" }
Distributed optimal control of time-dependent diffusion–convection–reaction equations using space–time discretization;
Zeynep Kanar Seymen, Hamdullah Yücel, Bülent Karasözen;
Journal of Computational and Applied Mathematics  :  Vol. 261, pp. 146-157;
2014.

2013

@article{Yücel2013278,
title = \"Discontinuous Galerkin finite element methods with shock-capturing for nonlinear convection dominated models \",
journal = \"Computers & Chemical Engineering \",
volume = \"58\",
number = \"0\",
pages = \"278 - 287\",
year = \"2013\",
note = \"\",
issn = \"0098-1354\",
doi = \"http://dx.doi.org/10.1016/j.compchemeng.2013.07.011\",
url = \"http://www.sciencedirect.com/science/article/pii/S0098135413002317\",
author = \"Hamdullah Yücel and Martin Stoll and Peter Benner\",
keywords = \"Discontinuous Galerkin methods\",
keywords = \"Shock-capturing\",
keywords = \"Discontinuity sensor\",
keywords = \"Convection dominated problems \" }
Discontinuous Galerkin Finite Element Methods with Shock-Capturing for Nonlinear Convection Dominated Models;
Hamdullah Yücel, Martin Stoll, Peter Benner;
Computers & Chemical Engineering,  :  Vol. 58, pp. 278 - 287;
2013.
@INPROCEEDINGS{BaiV13,
author = {Naim Bajcinca and Matthias Voigt},
title = {Spectral Conditions for Symmetric Positive Real and Negative Imaginary Systems},
booktitle = {Proceedings of the 19th European Control Conference},
pages = {809--814},
month = {July},
year = {2013},
address = {Z\"urich,
Switzerland},
publisher = {EUCA},
isbn = {978-3-952-41734-8},
}
Spectral Conditions for Symmetric Positive Real and Negative Imaginary Systems;
Bajcinca, Naim; Voigt, Matthias;
Proceedings of the 19th European Control Conference  :  pp. 809 - 814;
EUCA; 2013. ISBN/ISSN: 978-3-952-41734-8
@incollection{ year={2013},
isbn={978-3-642-33913-4},
booktitle={Chaos and Complex Systems},
editor={Stavrinides,
Stavros G. and Banerjee,
Santo and Caglar,
Suleyman Hikmet and Ozer,
Mehmet},
doi={10.1007/978-3-642-33914-1_11},
title={Optimal Control of Diffusion-Convection-Reaction Equations Using Upwind Symmetric Interior Penalty Galerkin (SIPG) Method},
url={http://dx.doi.org/10.1007/978-3-642-33914-1_11},
publisher={Springer Berlin Heidelberg},
author={Karasözen,
Bülent and Yücel,
Hamdullah},
pages={83-94},
language={English} }
Optimal Control of Diffusion-Convection-Reaction Equations Using Upwind Symmetric Interior Penalty Galerkin (SIPG) Method;
Bülent Karasözen, Hamdullah Yücel;
in Stavros G. Stavrinides, Santo Banerjee, Suleyman Hikmet Caglar, Mehmet Ozer: Chaos and Complex Systems  :  
Springer Berlin Heidelberg; 2013.
pages 83-94.
@Article{BenS13,
author = {P. Benner and J. Saak},
title = {Numerical solution of large and sparse continuous time algebraic matrix Riccati and Lyapunov equations: a state of the art survey },
journal = {GAMM Mitteilungen},
year = 2013,
volume = 36,
number = 1,
pages = {32--52},
month = {August},
DOI = {10.1002/gamm.201310003} }
Numerical Solution of Large and Sparse Continuous Time Algebraic Matrix Riccati and Lyapunov Equations: A State of the Art Survey;
Benner, Peter and Saak, Jens;
GAMM-Reports  :  vol 6 No 1 pages 32-52;
2013. ISBN/ISSN: 1522-2608
Preprint available at http://www.mpi-magdeburg.mpg.de/preprints/2013/07/ DOI:10.1002/gamm.201310003.
@article{BenB12,
author = {P. Benner and T. Breiten},
title = {Low rank methods for a class of generalized Lyapunov equations and related issues},
year = 2012,
type = {MPI Magdeburg Preprints},
number = {MPIMD/12-03},
note = {Available from \url{ http://www.mpi-magdeburg.mpg.de/preprints/abstract.php?nr=12-03&year=2012} },
}
Low rank methods for a class of generalized Lyapunov equations and related issues;
Benner, Peter; Breiten, Tobias;
Numerische Mathematik  :  Vol. 124, No. 3, 441–470;
2013.
doi: 10.1007/s00211-013-0521-0.
327Solving Matrix Equations on Multi-Core and Many-Core Architectures;
Benner, Peter; Ezzatti, Pablo; Mena, Hermann; Quintana-Ortí, Enrique; Remón, Alfredo;
Algorithms  :  Vol. 6(4);
2013. ISBN/ISSN: 1999-4893
@incollection{BenEQetal13c,
author = {Benner,
P. and Ezzatti P. and Quintana{-}Ort{\\'{\i}} E.~S. and Rem{\\'{o}}n,
A.},
title = {Exploiting Data- and Task-Parallelism in the Solution of {R}iccati Equations on Multicore Servers and {GPUs}},
series = AdvParComp,
booktitle = {Parallel Computing: Accelerating Computational Science and Engineering (CSE),
Proceedings of the International Conference on Parallel Computing,
ParCo 2013,
10-13 September 2013,
Garching,
Germany},
volume = {25},
pages = {367--374},
isbn = {978-1-61499-380-3},
publisher = {{IOS} Press},
editor = {Michael Bader and Arndt Bode and Hans{-}Joachim Bungartz and Michael Gerndt and Gerhard R. Joubert and Frans J. Peters},
doi = {10.3233/978-1-61499-381-0-367},
year = {2013} }
Exploiting Data- and Task-Parallelism in the Solution of Riccati Equations on Multicore Servers and GPUs;
Benner, Peter; Ezzatti, Pablo; Quintana-Ortí, Enrique S.; Remón, Alfredo;
in Michael Bader and Arndt Bode and Hans-Joachim Bungartz and Hans{-}Joachim Bungartz and Gerhard R. Joubert and Frans J. Peters: Proceedings of the International Conference on Parallel Computing, 2013  :  Vol. 25 Parallel Computing: Accelerating Computational Science and Engineering (CSE);
IOS Press; 2013. ISBN/ISSN: 978-1-61499-380-3
326On the Impact of Optimization on the Time-Power-Energy Balance of Dense Linear Algebra Factoriizations;
Benner, Peter; Ezzatti, Pablo; Quintana-Ortí, Enrique; Remón, Alfredo;
in Aversa, Rocco; Kołodziej, Joanna; Zhang, Jun; Amato, Flora; Fortino, Giancarlo: Algorithms and Architectures for Parallel Processing  :  Lecture Notes in Computer Science Vol. 8286;
Springer International Publishing; 2013. ISBN/ISSN: 978-3-319-03888-9
261Unleashing CPU-GPU Acceleration for Control Theory;
Benner, Peter; Ezzatti, Pablo; Quintana-Ortí, Enrique S.; Remón, Alfredo;
Euro-Par 2012: Parallel Processing Workshops  :  Vol. 7640;
Springer Berlin Heidelberg; 2013. ISBN/ISSN: 978-3-642-36949-0
@article {BenKS12,
author = {Benner,
Peter and K{\"u}rschner,
Patrick and Saak,
Jens},
affiliation = {Max Planck Institute for Dynamics of Complex Technical Systems,
Sandtorstraße 1,
39106 Magdeburg,
Germany},
title = {Efficient handling of complex shift parameters in the low-rank Cholesky factor ADI method},
journal = {Numerical Algorithms},
publisher = {Springer U.S.},
issn = {1017-1398},
keyword = {Computer Science},
volume={62},
issue={2},
pages = {225-251},
url = {http://dx.doi.org/10.1007/s11075-012-9569-7},
note = {10.1007/s11075-012-9569-7},
}
Efficient Handling of Complex Shift Parameters in the Low-Rank Cholesky Factor ADI method;
Benner, Peter; Kürschner, Patrick; Saak, Jens;
Numerical Algorithms  :  Volume 62, Issue 2, pages 225-251, February 2013 ;
Springer U.S.; 2013. ISBN/ISSN: 1017-1398
DOI: 10.1007/s11075-012-9569-7
also available as preprint MPIMD/11-08.
@TECHREPORT{BenLMV13,
author = {Peter Benner and Philip Losse and Volker Mehrmann and Matthias Voigt},
title = {Numerical Solution of Eigenvalue Problems for Alternating Matrix Polynomials and Their Application in Control Problems for Descriptor Systems},
institution = {Max Planck Institute Magdeburg},
type = {Preprint},
number = {MPIMD/13-24},
month = {December},
year = {2013},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/2013/24/}},
}
Numerical Solution of Eigenvalue Problems for Alternating Matrix Polynomials and Their Application in Control Problems for Descriptor Systems;
Benner, Peter; Losse, Philip; Mehrmann, Volker; Voigt, Matthias;
2013.
Preprint MPIMD/13-24.
@TECHREPORT{BenLV13,
author = {Peter Benner and Ryan Lowe and Matthias Voigt},
title = {Computation of the $\mathcal{H}_\infty$-Norm for Large-Scale Systems},
type = {Oberwolfach Reports},
number = {56/2013},
pages = {3289--3291},
year = {2013},
address = {Oberwolfach,
Germany},
institution = {Mathematisches Forschungsinstitut Oberwolfach},
}
Computation of the H-Norm for Large-Scale Systems;
Benner, Peter; Lowe, Ryan; Voigt, Matthias;
Oberwolfach Reports  :  No. 56/2013, pp. 3289 - 3291;
Mathematisches Forschungsinstitut Oberwolfach; 2013.
@Article{BenM12,
author = {P. Benner and T. Mach},
title = {The Preconditioned Inverse Iteration for Hierarchical Matrices},
year = 2013,
journal = {Numer. Lin. Alg. Appl.},
doi = {10.1002/nla.1830},
pages = {150--166},
volume=20,
number=1 }
The Preconditioned Inverse Iteration for Hierarchical Matrices;
Benner, Peter; Mach, Thomas;
Numer. Lin. Alg. Appl.  :  Vol. 20, No. 1, 150-166;
2013.
DOI: 10.1002/nla.1830
also available as preprint MPIMD/11-01, 17 pages.
@article{BenSSW13,
author = {P. Benner and J. Saak and M. Stoll and H.~K. Weichelt},
title = {Efficient Solution of Large-Scale Saddle Point Systems Arising in {R}iccati-Based Boundary Feedback Stabilization of Incompressible {S}tokes Flow},
journal = {{SIAM} J. Sci. Comput.},
volume = 35,
number = 5,
pages = {S150--S170},
year = 2013 }
Efficient Solution of Large-Scale Saddle Point Systems Arising in Riccati-Based Boundary Feedback Stabilization of Incompressible Stokes Flow;
Benner, Peter; Saak, Jens; Stoll, Martin; Weichelt, Heiko K.;
SIAM Journal on Scientific Computing  :  Vol. 35, No. 5, pages S150-S170;
2013.
Early version as SPP1253 Preprint: SPP1253-130.
@TECHREPORT{MPIMD13-17,
author = {Peter Benner and Andr\\\'e Schneider},
title = {Balanced Truncation for Descriptor Systems with Many Terminals},
number = {MPIMD/13-17},
month = {October} year = 2013,
type = {Max Planck Institute Magdeburg Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}
Balanced Truncation for Descriptor Systems with Many Terminals;
Benner, Peter; Schneider, André;
Preprint: MPIMD/13-17;
Max Planck Institute for Dynamics of Complex Technical Systems; 2013.
Submitted to Systems & Control Letters.
@TECHREPORT{MPIMD13-19,
author = {Peter Benner and Judith Schneider},
title = {Uncertainty Quantification for Maxwell´s Equations Using Stochastic Collocation and Model Order Reduction},
number = {MPIMD/13-19},
month = {October} year = 2013,
type = {Max Planck Institute Magdeburg Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}
Uncertainty Quantification for Maxwell´s Equations Using Stochastic Collocation and Model Order Reduction;
Benner, Peter; Schneider, Judith;
Preprint: MPIMD/13-19;
Max Planck Institute for Dynamics of Complex Technical Systems; 2013.
Submitted to International Journal for Uncertainty Quantification.
@TECHREPORT{BenSV13a,
author = {Peter Benner and Vasile Sima and Matthias Voigt},
title = {{FORTRAN} 77 Subroutines for the Solution of Skew-{H}amiltonian/{H}amiltonian Eigenproblems -- {P}art {I}: Algorithms and Applications},
institution = {Max Planck Institute Magdeburg},
type = {Preprint},
number = {MPIMD/13-11},
month = {July},
year = {2013},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/2013/11/}},
}
FORTRAN 77 Subroutines for the Solution of Skew-Hamiltonian/Hamiltonian Eigenproblems - Part I: Algorithms and Applications;
Benner, Peter; Sima, Vasile; Voigt, Matthias;
2013.
Submitted, also available as preprint MPIMD/13-11.
@TECHREPORT{BenSV13b,
author = {Peter Benner and Vasile Sima and Matthias Voigt},
title = {{FORTRAN} 77 Subroutines for the Solution of Skew-{H}amiltonian/{H}amiltonian Eigenproblems -- {P}art {II}: Implementation and Numerical Results},
institution = {Max Planck Institute Magdeburg},
type = {Preprint},
number = {MPIMD/13-12},
month = {July},
year = {2013},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/2013/12/}},
}
FORTRAN 77 Subroutines for the Solution of Skew-Hamiltonian/Hamiltonian Eigenproblems - Part II: Implementation and Numerical Results;
Benner, Peter; Sima, Vasile; Voigt, Matthias;
2013.
Submitted, also available as preprint MPIMD/13-12.
@ARTICLE{BenV13,
author = {Peter Benner and Matthias Voigt},
title = {Spectral Characterization and Enforcement of Negative Imaginariness for Descriptor Systems},
journal = {Linear Algebra and its Applications},
volume = {439},
number = {4},
pages = {1104--1129},
month = {August},
year = {2013},
publisher = {Elsevier},
doi = {10.1016/j.laa.2012.12.044},
note = {17th Conference of the International Linear Algebra Society,
Braunschweig,
Germany,
August 2011.},
}
Spectral Characterization and Enforcement of Negative Imaginariness for Descriptor Systems;
Benner, Peter; Voigt, Matthias;
Linear Algebra and its Applications  :  Vol. 439, No. 4, pp. 1104 - 1129;
Elsevier; 2013. ISBN/ISSN: 0024-3795
17th Conference of the International Linear Algebra Society, Braunschweig, Germany, August 2011.
DOI: 10.1016/j.laa.2012.12.044.
Old version available as preprint MPIMD/12-09.
@TECHREPORT{MPIMD13-22,
author = { Björn Baran and Martin Köhler and Nitin Prasad and Jens Saak},
title = {Interfacing C-M.E.S.S. with Python},
number = {MPIMD/13-22},
month = nov,
year = 2013,
institution = {Max Planck Institute Magdeburg},
type = {Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}
Interfacing C-M.E.S.S. with Python;
Björn Baran, Martin Köhler, Nitin Prasad, Jens Saak;
MPIMD/13-22;
MPI Magdeburg Preprints; 2013.
298Near-optimal frequency-weighted interpolatory model reduction
Breiten, Tobias; Beattie, Christopher; Gugercin, Serkan;
2013.
328Accelerating the Lyapack library using GPUs;
Dufrechu, Ernesto; Ezzatti, Pablo; Quintana-Ortí, Enrique; Remón, Alfredo;
The Journal of Supercomputing  :  Vol. 63 (3);
Springer US; 2013. ISBN/ISSN: 0920-8542
@inproceedings{FreK13,
Title = {Inner-outer methods for large-scale two-sided eigenvalue problems},
Author = {Melina Freitag and Patrick K{\"u}rschner},
Booktitle = {Oberwolfach Report - Numerical Solution of PDE Eigenvalue Problems},
Pages = {86--89},
Year = {2013},
Volume = {56},
doi = {10.4171/OWR/2013/56} }
Inner-outer methods for large-scale two-sided eigenvalue problems;
Freitag, Melina; Kürschner, Patrick;
Numerical Solution of PDE Eigenvalue Problems  :  Oberwolfach Report 56/2013;
2013.
doi:10.4171/OWR/2013/56.
287A Discontinous Galerkin Method for Optimal Control Problems Governed by a System of Convection-Diffusion PDEs with Nonlinear Reaction Terms;
Hamdullah Yücel, Martin Stoll, Peter Benner;
2013.
@incollection{ year={2013},
isbn={978-3-642-33133-6},
booktitle={Numerical Mathematics and Advanced Applications 2011},
editor={Cangiani,
Andrea and Davidchack,
Ruslan L. and Georgoulis,
Emmanuil and Gorban,
Alexander N. and Levesley,
Jeremy and Tretyakov,
Michael V.},
doi={10.1007/978-3-642-33134-3_42},
title={Distributed Optimal Control of Diffusion-Convection-Reaction Equations Using Discontinuous Galerkin Methods},
url={http://dx.doi.org/10.1007/978-3-642-33134-3_42},
publisher={Springer Berlin Heidelberg},
author={Yücel,
H. and Heinkenschloss,
M. and Karasözen,
B.},
pages={389-397},
language={English} }
Distributed Optimal Control of Diffusion-Convection-Reaction Equations Using Discontinuous Galerkin Methods;
Hamdullah Yücel, Matthias Heinkenschloss, Bülent Karasözen;
in Andrea Cangiani, Ruslan L. Davidchack, Emmanuil Georgoulis, Alexander N. Gorban, Jeremy Levesley, Michael V. Tretyakov: Numerical Mathematics and Advanced Applications 2011  :  
Springer Berlin Heidelberg; 2013.
pages 389-397.
@ARTICLE{6509472,
author={Hess,
M.W. and Benner,
P.},
journal={Microwave Theory and Techniques,
IEEE Transactions on},
title={Fast Evaluation of Time #x2013;Harmonic Maxwell\'s Equations Using the Reduced Basis Method},
year={2013},
volume={61},
number={6},
pages={2265-2274},
keywords={Electromagnetic analysis;Maxwell equations;reduced basis method (RBM);reduced order systems},
doi={10.1109/TMTT.2013.2258167},
ISSN={0018-9480},
}
Fast Evaluation of Time Harmonic Maxwell\'s Equations Using the Reduced Basis Method
Hess, M.W. and Benner, P.;
Microwave Theory and Techniques, IEEE Transactions on  :  Vol. 61 no. 6 pp. 2265-2274;
2013.
@INPROCEEDINGS{morHesB13a,
author = {M. W. Hess and P. Benner},
title = {Reduced {B}asis {G}eneration for {M}axwell’s {E}quations by {R}igorous {E}rror {E}stimation},
booktitle = {Proceedings of 19th International Conference on the Computation of Electromagnetic Fields (COMPUMAG 2013),
Paper PD2-10 (2 pp.)},
year = {2013},
url = {http://www.mht.bme.hu/~bilicz/compumag2013/files/pd2-10.pdf} }
Reduced Basis Generation for Maxwell’s Equations by Rigorous Error Estimation;
Hess, Martin W.; Benner Peter;
Proceedings of 19th International Conference on the Computation of Electromagnetic Fields (COMPUMAG 2013), Paper PD2-10 (2 pp.)  :  Vol. ?? of;
2013.
@article{BosKSetal14,
author = {Bosch,
J. and Kay,
D. and Stoll,
M. and Wathen,
A.~J.},
title = {Fast Solvers for {C}ahn--{H}illiard Inpainting},
journal = {SIAM J. Imaging Sci.},
volume = {7},
number = {1},
pages = {67--97},
year = {2014},
doi = {10.1137/130921842},
url = {http://dx.doi.org/10.1137/130921842} }
Fast Solvers for Cahn-Hilliard Inpainting;
Jessica Bosch, David Kay, Martin Stoll, Andrew J. Wathen;
SIAM Journal on Imaging Sciences  :  Vol. 7, No. 1, pp. 67-97;
2013.
@TECHREPORT{JiaV13,
author = {Peihong Jiang and Matthias Voigt},
title = {{MB04BV} -- {A} {FORTRAN} 77 Subroutine to Compute the Eigenvectors Associated to the Purely Imaginary Eigenvalues of Skew-{H}amiltonian/{H}amiltonian Matrix Pencils},
institution = {NICONET e.V.},
type = {SLICOT Working Note},
number = {2013-3},
month = {September},
year = {2013},
note = {Available from \url{http://slicot.org/objects/software/reports/SLWN2013_3.pdf}},
}
MB04BV - A FORTRAN 77 Subroutine to Compute the Eigenvectors Associated to the Purely Imaginary Eigenvalues of Skew-Hamiltonian/Hamiltonian Matrix Pen;
Jiang, Peihong; Voigt, Matthias;
2013.
SLICOT Working Note 2013-3.
254Subspace recycling accelerates the parametric macromodeling of MEMS;
Lihong Feng, Peter Benner and Jan G Korvink;
International Journal for Numerical Methods in Engineering  :  94 (1): 84-110;
2013.
DOI: 10.1002/nme.4449.
252System-Level Modeling of MEMS by Means of Model Order Reductioin (Mathematical Approximations)-Mathematical Background ;
Lihong Feng, Peter Benner and Jan G Korvink;
in Tamara Bechtold, Gabriele Schrag, Lihong Feng: System-level Modeling of MEMS, pp. 53-93  :  Volume 10, Advanced Micro & Nanosystems;
WILEY-VCH; 2013. ISBN/ISSN: 9783527319039
@TECHREPORT{LowV13,
author = {Ryan Lowe and Matthias Voigt},
title = {$\mathcal{L}_\infty$-Norm Computation for Large-Scale Descriptor Systems Using Structured Iterative Eigensolvers},
institution = {Max Planck Institute Magdeburg},
type = {Preprint},
number = {MPIMD/13-20},
month = {October},
year = {2013},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/2013/20/}},
}
L-Norm Computation for Large-Scale Descriptor Systems Using Structured Iterative Eigensolvers;
Lowe, Ryan; Voigt, Matthias;
2013.
Preprint MPIMD/13-20.
@incollection{KoehS13,
year={2013},
isbn={978-3-642-36802-8},
booktitle={Applied Parallel and Scientific Computing},
volume={7782},
series={Lecture Notes in Computer Science},
editor={Manninen,
Pekka and Öster,
Per},
doi={10.1007/978-3-642-36803-5_42},
title={A Shared Memory Parallel Implementation of the IRKA Algorithm for \mathcal{H}_2 Model Order Reduction},
url={http://dx.doi.org/10.1007/978-3-642-36803-5_42},
publisher={Springer Berlin Heidelberg},
author={Köhler,
Martin and Saak,
Jens},
pages={541-544} }
A Shared Memory Parallel Implementation of the IRKA Algorithm for H2 Model Order Reduction;
M. Köhler and J. Saak;
in Pekka Manninen and Per öster: Applied Parallel and Scientific Computing : 11th International Conference, PARA 2012, Helsinki, Finland, June 10-13, 2012  :  Vol. 7782 of Lecture Notes in Computer Science;
Springer; 2013.
193One-shot solution of a time-dependent time-periodic PDE-constrained optimization problem;
Martin Stoll;
Accepted IMA Journal of Numerical Analysis;
2013.
189All-at-once solution of time-dependent Stokes control;
Martin Stoll, Andy Wathen;
Journal of Computational Physics,232 (2013), pp. 498-515  :  
2013.
275A low-rank in time approach to PDE-constrained optimization;
Martin Stoll, Tobias Breiten;
Accepted SISC  :  
2013.
@ARTICLE{morNowEtal12,
author = {Nowakowski,
C. and K{\"u}rschner,
P. and Eberhard,
P. and Benner,
P.},
title = {Model reduction of an elastic crankshaft for elastic multibody simulations},
journal = {ZAngewMathMech},
publisher = {WILEY-VCH Verlag},
volume={93},
number={4},
pages={198--216},
issn = {1521-4001},
url = {http://dx.doi.org/10.1002/zamm.201200054},
doi = {10.1002/zamm.201200054},
keywords = {Elastic multibody systems,
model order reduction,
Krylov,
SVD,
ADI.},
year = 2012,
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}
Model Reduction of an Elastic Crankshaft for Elastic Multibody Simulations;
Nowakowski, Christine; Kürschner, Patrick; Eberhard, Peter; Benner, Peter ;
ZAMM - Journal of Applied Mathematics and Mechanics  :  Vol. 93(4), pp. 198 - 216;
WILEY-VCH Verlag; 2013. ISBN/ISSN: 1521-4001
accepted; also available as preprint MPIMD/12-07.
@INPROCEEDINGS{BenDK13,
author = {Peter Benner,
Jonas Deni{\ss}en,
Ludwig Kohaupt},
title = {Bounds on the solution of linear time-periodic systems},
journal = {Proceedings in Applied Mathematics and Mechanics},
publisher = {WILEY-VCH Verlag},
year = {2013},
volume = {13},
number = {1},
url = {http://dx.doi.org/10.1002/pamm.201310217},
doi = {10.1002/pamm.201310217},
pages = {447--448},
}
Bounds on the Solution of Linear Time-Periodic Systems;
P. Benner, J. Denißen and L. Kohaupt;
Proceedings in Applied Mathematics and Mechanics  :  Volume 13, Issue 1, Pages: 447–448;
WILEY-VCH Verlag; 2013.
DOI: 10.1002/pamm.201310217.
300Low Rank Solution of Unsteady Diffusion Equations with Stochastic Coefficients;
Peter Benner, Akwum Onwunta, Martin Stoll;
Accepted JUQ  :  
2013.
@INPROCEEDINGS{morBenLS13,
author = {Peter Benner,
Norman Lang,
Jens Saak},
title = {Modeling structural variability in reduced order models of machine tool assembly groups via parametric MOR},
journal = {Proceedings in Applied Mathematics and Mechanics},
publisher = {WILEY-VCH Verlag},
year = {2013},
volume = {13},
number = {1},
url = {http://dx.doi.org/10.1002/pamm.201310233},
doi = {10.1002/pamm.201310233},
pages = {481--482},
}
Modeling structural variability in reduced order models of machine tool assembly groups via parametric MOR;
Peter Benner, Norman Lang, Jens Saak;
Proceedings in Applied Mathematics and Mechanics  :  Volume 13, Issue 1, Pages: 481–482;
WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim; 2013.
DOI: 10.1002/pamm.201310233.
@INPROCEEDINGS{morBenLS13a,
author = {Peter Benner and Norman Lang and Jens Saak},
title = {Modellordnungsreduktion für geschaltete,
gekoppelte thermo-elastische {S}ysteme},
booktitle= {Tagungsband des GMA-Fachausschusses 1.30 \glqq Modellbildung,
Identifikation und Simulation in der Automatisierungstechnik\grqq},
pages = {215--227},
editor = {Oliver Sawodny and J\"urgen Adamy},
month = {November},
year = {2013},
publisher = {Technische Universit\"at Darmstadt,
Institut f\"ur Automatisierungstechnik und Mechatronik},
isbn = {978-3-9815012-5-4},
}
Modellordnungsreduktion für geschaltete, gekoppelte thermo-elastische Systeme;
Peter Benner, Norman Lang, Jens Saak;
in Sawodny, Oliver; Adamy, Jürgen: Tagungsband des GMA-Fachausschusses 1.30 „Modellbildung, Identifikation und Simulation in der Automatisierungstechnik“  :  Pages 215 - 227;
Technische Universität Darmstadt, Institut für Automatisierungstechnik und Mechatronik; 2013. ISBN/ISSN: 978-3-9815012-5-4
@TECHREPORT{MPIMD12-02,
author = {Peter Benner,
Pablo Ezzatti,
Enrique S. Quintana-Ortí,
Alfredo Remón},
title = {Matrix Inversion on CPU-GPU Platforms with Applications in Control Theory},
institution = {Max Planck Institute Magdeburg Preprints},
year = 2012,
number = {MPIMD/12-02},
month = {February} }
Matrix Inversion on CPU-GPU Platforms with Applications in Control Theory;
Peter Benner, Pablo Ezzatti, Enrique S. Quintana-Ortí; Remón, Alfredo;
Concurrency and Computation: Practice and Experience  :  
John Wiley & Sons, Ltd; 2013. ISBN/ISSN: 1170–1182
@article {BenKS13,
author = {Benner,
Peter and Kürschner,
Patrick and Saak,
Jens},
title = {A Reformulated Low-Rank {ADI} Iteration with Explicit Residual Factors},
journal = {PAMM},
volume = {13},
number = {1},
publisher = {WILEY-VCH Verlag},
issn = {1617-7061},
url = {http://dx.doi.org/10.1002/pamm.201310273},
doi = {10.1002/pamm.201310273},
pages = {585--586},
year = {2013},
}
A Reformulated Low-Rank ADI Iteration with Explicit Residual Factors;
Peter Benner, Patrick Kürschner and Jens Saak;
Proceedings in Applied Mathematics and Mechanics  :  Volume 13, Issue 1, December 2013, Pages: 585–586;
Wiley-VCH Verlag; 2013.
DOI: 10.1002/pamm.201310273.
@Article{BenKS13,
author = {Peter Benner and Patrick Kürschner and Jens Saak},
title = {An Improved Numerical Method for Balanced Truncation for Symmetric Second Order Systems},
year = 2013,
journal = {Mathematical and Computer Modelling of Dynamical Systems},
volume=19,
number=6,
pages={593--615},
doi = {10.1080/13873954.2013.794363},
note = {Early Version available from \url{http://www.mpi-magdeburg.mpg.de/preprints/2012/20/}},
}
An Improved Numerical Method for Balanced Truncation for Symmetric Second Order Systems;
Peter Benner, Patrick Kürschner, Jens Saak;
Mathematical and Computer Modelling of Dynamical Systems  :  Vol. 19(6), pages 593-615;
2013.
DOI:10.1080/13873954.2013.794363 Also available as Preprint MPIMD/12-20.
263Performance versus energy consumption of hyperspectral unmixin galgorithms on multi-core platforms ;
Remón, Alfredo; Sánchez, Sergio; Bernabé, Sergio; Quintana-Ortí, Enrique S.; Plaza, Antonio ;
EURASIP Journal on Advances in Signal Processing  :  Vol. 2013;
SpringerOpen; 2013. ISBN/ISSN: 1687-6180
@INPROCEEDINGS{SaaUV13,
author = {Jens Saak and M. Monir Uddin and Matthias Voigt},
title = {Modellreduktion für strukturierte {I}ndex-3-{S}ysteme},
booktitle= {Tagungsband des GMA-Fachausschusses 1.30 \glqq Modellbildung,
Identifikation und Simulation in der Automatisierungstechnik\grqq},
pages = {180--190},
editor = {Oliver Sawodny and J\"urgen Adamy},
month = {November},
year = {2013},
publisher = {Technische Universit\"at Darmstadt,
Institut f\"ur Automatisierungstechnik und Mechatronik},
isbn = {978-3-9815012-5-4},
}
Modellreduktion für strukturierte Index-3-Systeme
Saak, Jens; Uddin, M. Monir; Voigt, Matthias;
in Sawodny, Oliver; Adamy, Jürgen: Tagungsband des GMA-Fachausschusses 1.30 „Modellbildung, Identifikation und Simulation in der Automatisierungstechnik“  :  pp. 180 - 190;
Technische Universität Darmstadt, Institut für Automatisierungstechnik und Mechatronik; 2013. ISBN/ISSN: 978-3-9815012-5-4
281Computing Surrogates for Gas Network Simulation using Model Order Reduction;
Sara Grundel, Nils Hornung, Bernhard Klaassen, Peter Benner, and Tanja Clees;
in Koziel, Slawomir; Leifsson, Leifur (Eds.) : Surrogate-Based Modeling and Optimization  :  
Springer; 2013. ISBN/ISSN: 978-1-4614-7550
325Enabling Technologies for System-Level Simulation of MEMS;
T. Bechtold, G. Schrag, L. Feng;
14th International Conference on Thermal, Mechanical and Multi-Physics Simulation and Experiments in Microelectronics and Microsystems (EuroSimE).  :  Page 1-6;
2013. ISBN/ISSN: 978-1-4673-6138-5
DOI: 10.1109/EuroSimE.2013.6529994 .
251System-level Modeling of MEMS (book);
Tamara Bechtold, Gabriele Schrag, Lihong Feng (Editors);
WILEY-VCH; 2013. ISBN/ISSN: 9783527319039
@INPROCEEDINGS{Voi13,
author = {Matthias Voigt},
title = {Computation of the Complex Dissipativity Radius},
booktitle= {Tagungsband des GMA-Fachausschusses 1.30 \glqq Modellbildung,
Identifikation und Simulation in der Automatisierungstechnik\grqq},
pages = {10--19},
editor = {Oliver Sawodny and J\"urgen Adamy},
month = {November},
year = {2013},
publisher = {Technische Universit\"at Darmstadt,
Institut f\"ur Automatisierungstechnik und Mechatronik},
isbn = {978-3-9815012-5-4},
}
Computation of the Complex Dissipativity Radius
Voigt, Matthias;
in Sawodny, Oliver; Adamy, Jürgen: Tagungsband des GMA-Fachausschusses 1.30 „Modellbildung, Identifikation und Simulation in der Automatisierungstechnik“  :  pp. 10 - 19;
Technische Universität Darmstadt, Institut für Automatisierungstechnik und Mechatronik; 2013. ISBN/ISSN: 978-3-9815012-5-4

2012

244Second Order to Second Order Balancing for Index-1 Vibrational Systems;
Benner, Peter and Uddin, M. Monir and Saak, Jens ;
7th International Conference on Electrical and Computer Engineering (ICECE) 2012  :  
2012. ISBN/ISSN: 97814673143
pages 933-936.
208Low-rank iterative methods of periodic projected Lyapunov equations and their application in model reduction of periodic descriptor systems
Benner, Peter; Hossain, Mohammad-Sahadet; Stykel, Tatjana;
2012.
Submitted.
@Article{BenM12b,
author = {Peter Benner and Thomas Mach},
title = {Computing All or Some Eigenvalues of Symmetric $\mathcal{H}_{\ell}$-Matrices},
publisher = {SIAM},
year = {2012},
journal = {SIAM Journal on Scientific Computing},
volume = {34},
number = {1},
pages = {A485-A496},
url = {http://epubs.siam.org/doi/abs/10.1137/110836742},
doi = {10.1137/110836742} } @TECHREPORT{MPIMD11-02,
author = {Benner,
Peter; Breiten,
Tobias},
title = {Interpolation-Based ${\cal H}_2$-Model Reduction of Bilinear Control Systems},
institution = {Max Planck Institute Magdeburg Preprints},
year = 2011,
number = {MPIMD/11-02},
month = {June} 859–885 }
Interpolation-Based ℋ₂-Model Reduction of Bilinear Control Systems;
Benner, Peter; Breiten, Tobias;
SIAM Journal on Matrix Analysis and Applications  :  Vol. 33, No. 3, 859–885;
2012.
doi: 10.1137/110836742
also available as preprint MPIMD/11-02.
158Krylov-Subspace Based Model Reduction of Nonlinear Circuit Models Using Bilinear and Quadratic-Linear Approximations;
Benner, Peter; Breiten, Tobias;
in M. Günther, A. Bartel, M. Brunk, S. Schöps, M. Striebel: Progress in Industrial Mathematics at ECMI 2010  :  Mathematics in Industry, Vol. 17, pp. 153-159;
Springer-Verlag, Berlin; 2012. ISBN/ISSN: 978-3-642-25099-6
@TECHREPORT{MPIMD12-12,
author = {Peter Benner and Tobias Breiten},
title = {Two-sided moment matching methods for nonlinear model reduction},
number = {MPIMD/12-12},
month = {June},
year = 2012,
type = {MPI Magdeburg Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}
Two-sided moment matching methods for nonlinear model reduction;
Benner, Peter; Breiten, Tobias;
2012.
260Accelerating Model Reduction of Large Linear Systems with Graphics Processors;
Benner, Peter; Ezzatti, Pablo; Kressner, Daniel; Quintana-Ortí, Enrique S.; Remón, Alfredo;
in Kristján Jónasson: Applied Parallel and Scientific Computing  :  Vol. 7134;
Springer Berlin Heidelberg; 2012. ISBN/ISSN: 978-3-642-28144-0
259Accelerating BST Methods for Model Reduction with Graphics Processors;
Benner, Peter; Ezzatti, Pablo; Quintana-Ortí, Enrique S. ; Remón, Alfredo ;
in R. Wyrzykowski,J. Dongarra,K. Karczewski, J. Waśniewski: Parallel Processing and Applied Mathematics  :  Vol. 7203;
Springer Berlin Heidelberg; 2012. ISBN/ISSN: 978-3-642-31463-6
@ARTICLE{BeH:2012,
author = {P. Benner and M. W. Hess},
title = {The Reduced Basis Method for Time-Harmonic Maxwell\'s Equations},
journal = {PAMM Special Issue: 83rd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM),
Darmstadt 2012},
year = {2012},
volume = {12},
pages = {661 - 662},
owner = {hessm},
}
The Reduced Basis Method for Time-Harmonic Maxwell\'s Equations;
Benner, Peter; Hess, Martin W.;
in H.-D. Alber, N. Kraynyukova and C. Tropea: PAMM Special Issue: 83rd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Darmstadt 2012  :  Volume 12, Issue 1, pages 661–662, December 2012;
Wiley; 2012.
206Structure Preserving Iterative Solution of Periodic Projected Lyapunov Equations;
Benner, Peter; Hossain, Mohammad-Sahadet;
2012.
Proceedings of MATHMOD conference, Vienna 2012. Will appear as IFAC online (preprint available from Conference website).
@article{morBenKS12,
title = "Improved second-order balanced truncation for symmetric systems",
journal = "IFAC Proceedings Volumes",
volume = "45",
number = "2",
pages = "758 - 762",
year = "2012",
editor = "Troch,
I. and Breitenecker,
F.",
note = "7th Vienna International Conference on Mathematical Modelling",
issn = "1474-6670",
doi = "10.3182/20120215-3-AT-3016.00134",
author = "Jens Saak and Peter Benner and Patrick K{\"u}rschner",
}
Improved second-order balanced truncation for symmetric systems;
Benner, Peter; Kürschner, Patrick; Saak, Jens;
IFAC Proceedings Volumes   :  45(2):758 - 762;
2012. ISBN/ISSN: 1474-6670
Proceedings of 7th Vienna International Conference on Mathematical Modelling.
@InProceedings{morUddSKetal12a,
author = {Uddin,
Mohammad~Monir and Saak,
Jens and Kranz,
Burkhard and Benner,
Peter},
title = {Efficient Reduced Order State Space Model Computation for a Class of Second Order Index One Systems},
booktitle = {Proc. Appl. Math. Mech.},
pages = {699--700},
year = 2012,
volume = 12,
number = 1,
month = {December},
organization = {GAMM},
publisher = {Wiley},
note = {DOI: 10.1002/pamm.20},
}
Efficient Reduced Order State Space Model Computation for a Class of Second Order Index One Systems;
Benner, Peter; Kranz, Burkhard; Saak, Jens and Uddin, M. Monir;
Proceedings in Applied Mathematics and Mechanics  :  
Wiley InterScience; 2012.
Pages: 699–700, DOI: 10.1002/pamm.201210338.
@Article{BenM12b,
author = {Peter Benner and Thomas Mach},
title = {Computing All or Some Eigenvalues of Symmetric $\mathcal{H}_{\ell}$-Matrices},
publisher = {SIAM},
year = {2012},
journal = {SIAM Journal on Scientific Computing},
volume = {34},
number = {1},
pages = {A485-A496},
keywords = {symmetric hierarchical matrices; eigenvalues; $\mathcal{H}_{\ell}$-matrices; slicing the spectrum},
url = {http://link.aip.org/link/?SCE/34/A485/1},
doi = {10.1137/100815323} }
Computing all or some Eigenvalues of symmetric ℋ-Matrices;
Benner, Peter; Mach, Thomas;
SIAM Journal of Scientific Computing  :  Vol. 34, No. 1, A485-A496;
2012.
DOI: 10.1137/100815323
also available as preprint MPIMD/10-01.
@TECHREPORT{MPIMD12-05,
author = {Peter Benner and Thomas Mach},
title = {The LR Cholesky Algorithm for Symmetric Hierarchical Matrices},
number = {MPIMD/12-05},
month = {February},
year = 2012,
type = {MPI Magdeburg Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}
The LR Cholesky Algorithm for Symmetric Hierarchical Matrices;
Benner, Peter; Mach, Thomas ;
2012.
available as preprint MPIMD/12-05, 16 pages.
@INPROCEEDINGS{BenS11c,
author = {P. Benner and A. Schneider},
title = {Model Reduction for Linear Descriptor Systems with Many Ports},
booktitle = {Progress in Industrial Mathematics at ECMI 2010},
year = {2012},
editor = {Michael G{\"u}nther and Andreas Bartel and Markus Brunk and Sebastian Sch{\"o}ps and Michael Striebel},
volume = {17},
pages = {137--143},
series = {Mathematics in Industry},
publisher = {Springer-Verlag,
Berlin/Heidelberg,
Germany},
isbn = {978-963-311-370-7},
owner = {schneidera},
}
Model Reduction for Linear Descriptor Systems with Many Ports;
Benner, Peter; Schneider, André
in Günther, M.; Bartel, A.; Brunk, M.; Schöps, S.; Striebel, M.: Progress in Industrial Mathematics at ECMI 2010  :  Vol. 17 of Mathematics in Industry, Part II, pp. 137-143;
Springer-Verlag, Berlin/Heidelberg, Germany; 2012. ISBN/ISSN: 978-3-642-25099-6
@ARTICLE{BenSV12a,
author = {Peter Benner and Vasile Sima and Matthias Voigt},
title = {$\mathcal{L}_\infty$-Norm Computation for Continuous-Time Descriptor Systems Using Structured Matrix Pencils},
journal = {IEEE Transactions on Automatic Control},
volume = {57},
number = {1},
pages = {233--238},
month = {Jan.},
year = {2012},
publisher = {IEEE},
doi = {10.1109/TAC.2011.2161833},
}
L-Norm Computation for Continuous-Time Descriptor Systems Using Structured Matrix Pencils;
Benner, Peter; Sima, Vasile; Voigt, Matthias;
IEEE Transactions on Automatic Control  :  Vol. 57, No. 1, pp. 233 - 238;
IEEE; 2012. ISBN/ISSN: 0018-9286
DOI: 10.1109/TAC.2011.2161833.
@INPROCEEDINGS{BenSV12b,
author = {Peter Benner and Vasile Sima and Matthias Voigt},
title = {Robust and Efficient Algorithms for $\mathcal{L}_\infty$-Norm Computation for Descriptor Systems},
booktitle = {Proceedings of the 7th IFAC Symposium on Robust Control Design},
pages = {195--200},
month = {June},
year = {2012},
publisher = {IFAC},
address = {Aalborg,
Denmark},
doi = {10.3182/20120620-3-DK-2025.00114},
}
Robust and Efficient Algorithms for L-Norm Computation for Descriptor Systems;
Benner, Peter; Sima, Vasile; Voigt, Matthias;
Proceedings of the 7th IFAC Symposium on Robust Control Design  :  pp. 195 - 200;
IFAC; 2012.
DOI: 10.3182/20120620-3-DK-2025.00114.
@INPROCEEDINGS{BenV12b,
author = {Peter Benner and Matthias Voigt},
title = {$\mathcal{H}_\infty$-Norm Computation for Large and Sparse Descriptor Systems},
booktitle = {Proceedings in Applied Mathematics and Mechanics},
volume = {12},
number = {1},
month = {December},
year = {2012},
pages = {797--800},
doi = {10.1002/pamm.201210383},
}
H-Norm Computation for Large and Sparse Descriptor Systems;
Benner, Peter; Voigt, Matthias;
Proceedings in Applied Mathematics and Mechanics  :  Vol. 12, No. 1, pp. 797 - 800;
Wiley InterScience; 2012.
DOI: 10.1002/pamm.201210383.
@INPROCEEDINGS{BenV12a,
author = {Peter Benner and Matthias Voigt},
title = {Numerical Computation of Structured Complex Stability Radii of Large-Scale Matrices and Pencils},
booktitle = {Proceedings of the 51st IEEE Conference on Decision and Control},
paegs = {6560--6565},
month = {December},
year = {2012},
publisher = {IEEE},
address = {Maui,
Hawaii,
USA},
isbn = {978-1-4673-2064-1},
doi = {10.1109/CDC.2012.6426906},
}
Numerical Computation of Structured Complex Stability Radii of Large-Scale Matrices and Pencils;
Benner, Peter; Voigt, Matthias;
Proceedings of the 51st IEEE Conference on Decision and Control  :  pp. 6560 - 6565;
IEEE; 2012. ISBN/ISSN: 978-1-4673-2064-1
DOI: 10.1109/CDC.2012.6426906.
245Fast Iterative Solution of Reaction-Diffusion Control Problems Arising from Chemical Processes;
John W. Pearson, Martin Stoll;
Submitted  :  Accepted SISC;
2012.
236Robust Iterative Solution of a Class of Time-Dependent Optimal Control Problems;
John W. Pearson, Martin Stoll, and Andrew J.Wathen;
PAMM 2012  :  PAMM 2012;
2012.
194Regularization-robust preconditioners for time-dependent PDE constrained optimization problems;
John W. Pearson, Martin Stoll, Andy Wathen;
SIAM Journal on Matrix Analysis and Applications  :  Vol. 33, No. 4, pp. 1126-1152;
SIAM; 2012.
170Preconditioners for state constrained optimal control problems with Moreau-Yosida penalty function;
John W. Pearson, Martin Stoll; Andy Wathen;
Accepted Numerical Linear Algebra with Applications  :  
2012.
223Efficient optimization of simulated moving bed processes using reduced order models;
Li, Suzhou; Feng, Lihong; Benner, Peter; Seidel-Morgenstern, Andreas;
in Proc. of the 22nd European Symposium on Computer Aided Process Engineering  :  
London, UK; 2012.
268A fully adaptive scheme for model order reduction based on moment-matching;
Lihong Feng, Jan Korvink and Peter Benner;
MPI preprint  :  
2012.
169Preconditioning for Allen-Cahn variational inequalities with non-local constraints;
Luise Blank; Lavinia Sarbu; Martin Stoll;
Journal of Computational Physics, 231, 5406-5420  :  
2012.
http://dx.doi.org/10.1016/j.jcp.2012.04.035.
@TECHREPORT{MPIMD11-09,
author = {Thomas Mach},
title = {Computing Inner Eigenvalues of Matrices in Tensor Train Matrix Format},
institution = {Max Planck Institute Magdeburg Preprints},
year = 2011,
number = {MPIMD/11-09},
month = {December} }
Computing Inner Eigenvalues of Matrices in Tensor Train Matrix Format;
Mach, Thomas;
in A. Cangiani, R.L. Davidchack, E.H. Georgoulis, A. Gorban, J. Levesley, M.V. Tretyakov: Numerical Mathematics and Advanced Applications 2011 - Proceedings of ENUMATH 2011, the 9th European Conference on Numerical Mathematics, Leicester  :  
Springer; 2012.
accepted, available as preprint MPIMD/11-09, 11 pages.
@PHDTHESIS{Mac12,
author = {T. Mach},
title = {Eigenvalue Algorithms for Symmetric Hierarchical Matrices},
school = {Chemnitz University of Technology},
year = {2012},
type = {Dissertation}}
Eigenvalue Algorithms for Symmetric Hierarchical Matrices;
Mach, Thomas;
Dissertation, TU Chemnitz; 2012.
175 pages.
@InProceedings{MacS12,
author = {T. Mach and J. Saak},
title = {How Competitive is the ADI for Tensor Structured Equations?},
journal = {PAMM},
volume = {12},
number = {1},
publisher = {WILEY-VCH Verlag},
issn = {1617-7061},
year = {2011},
note = {DOI: 10.1002/pamm.201210306},
}
How Competitive is the ADI for Tensor Structured Equations?;
Mach, Thomas; Saak, Jens;
Proceedings in Applied Mathematics and Mechanics  :  
Wiley InterScience; 2012.
Pages: 635–636, DOI: 10.1002/pamm.201210306.
167A Krylov-Schur approach to the truncated SVD;
Martin Stoll;
Linear Algebra and its Applications, Volume 436, Issue 8, 15 April 2012, Pages 2795–2806  :  
2012.
166Preconditioning for partial differential equation constrained optimization with control constraints;
Martin Stoll; Andy Wathen;
Numerical Linear Algebra with Applications  :  19:53–71;
2012.
241Iterative Solvers for Periodic Matrix Equations and Model Reduction for Periodic Control Systems
Mohammad-Sahadet Hossain, Peter Benner;
Submitted to ICECE 2012, Dhaka, Bangladesh.  :  
2012.
225Projection-Based Model Reduction for Time-Varying Descriptor Systems: New Results;
Mohammad-Sahadet Hossain, Peter Benner;
Preprints of Max Planck Institute, Magdeburg;
2012. ISBN/ISSN: MPIMD/12-04
@article{morBenKS12,
title = "A Goal-Oriented Dual LRCF-ADI for Balanced Truncation",
journal = "IFAC Proceedings Volumes",
volume = "45",
number = "2",
pages = "752 - 757",
year = "2012",
editor = "Troch,
I. and Breitenecker,
F.",
note = "7th Vienna International Conference on Mathematical Modelling",
issn = "1474-6670",
doi = "10.3182/20120215-3-AT-3016.00133",
author = "Jens Saak and Peter Benner and Patrick K{\"u}rschner",
}
A Goal-Oriented Dual LRCF-ADI for Balanced Truncation.;
Peter Benner, Patrick Kürschner, Jens Saak;
IFAC Proceedings Volumes  :  45(2):752 - 757;
2012. ISBN/ISSN: 1474-6670
Proceedings of 7th Vienna International Conference on Mathematical Modelling.
@InProceedings{BenKS12b,
author = {P. Benner and P. K\"u rschner and J. Saak},
title = {Avoiding complex arithmetic in the low-rank ADI method efficiently},
journal = PAMM,
volume = {12},
number = {1},
pages = {639-640},
publisher = {WILEY-VCH Verlag},
issn = {1617-7061},
year = {2012},
note = {DOI: 10.1002/pamm.201210308},
}
Avoiding complex arithmetic in the low-rank ADI method efficiently;
Peter Benner; Patrick Kürschner; Jens Saak;
Proceedings in Applied Mathematics and Mechanics  :  
Wiley InterScience; 2012.
Pages: 639–640, DOI: 10.1002/pamm.201210308.
@TECHREPORT{BenKS12c,
author = {P. Benner and P. K\"u rschner and J. Saak},
title = {Real versions of low-rank ADI methods with complex shifts},
number = {MPIMD/12-11},
year = 2012,
type = {Max Planck Institute Magdeburg Preprint},
note = {Available from \url{http://www.mpi-magdeburg.mpg.de/preprints/}},
}
Real versions of low-rank ADI methods with complex shifts;
Peter Benner; Patrick Kürschner; Jens Saak;
MPI Magdeburg Preprints MPIMD/12-11;
2012.
@INPROCEEDINGS{ReiV12,
author = {Timo Reis and Matthias Voigt},
title = {Linear-quadratic infinite time horizon optimal control for differential-algebraic equations -- a new algebraic criterion},
booktitle = {Proceedings of the 20th International Symposium on Mathematical Theory of Networks and Systems},
month = {July},
year = {2012},
}
Linear-quadratic infinite time horizon optimal control for differential-algebraic equations - a new algebraic criterion;
Reis, Timo; Voigt, Matthias;
Proceedings of the 20th International Symposium on Mathematical Theory of Networks and Systems  :  
2012.
@Article{Uddetal12,
author = {Uddin,
M. Monir and Saak,
Jens and Kranz,
Burkhard and Benner,
Peter},
title = {Computation of a Compact State Space Model for an Adaptive Spindle Head Configuration with Piezo Actuators using Balanced Truncation},
journal = {Production Engineering Research and Development},
year = 2012,
volume = 6,
number = 6,
pages = {577-586},
month = {November},
note = {doi:10.1007/s11740-0},
}
Computation of a Compact State Space Model for an Adaptive Spindle Head Configuration with Piezo Actuators using Balanced Truncation;
Uddin, M. Monir; Saak, Jens; Kranz, Burkhard and Benner, Peter;
Production Engineering Research and Development  :  Volume 6, Issue 6, Page 577-586;
Springer; 2012.
DOI:10.1007/s11740-0120-410-x.

2011

@ARTICLE{morBauBBG11,
author = {U. Baur and C. A. Beattie and P. Benner and S. Gugercin},
title = {Interpolatory Projection Methods for Parameterized Model Reduction},
journal = SIAMSciComp,
year = {2011},
volume = {33},
pages = {2489--2518},
number = {5} }
Interpolatory Projection Methods for Parameterized Model Reduction
Baur, Ulrike; Beattie, Christopher; Benner, Peter; Gugercin, Serkan;
SIAM J. Sci. Comput.  :  Vol. 33 of 5;
2011.
@ARTICLE{BauBGetal11,
author = {U. Baur and P. Benner and A. Greiner and J.G. Korvink and J. Lienemann and C. Moosmann},
title = {Parameter preserving model reduction for {MEMS} applications},
journal = {Mathematical and Computational Modelling of Dynamical Systems},
year = {2011},
volume = {17},
pages = {297--317},
number = {4} }
Parameter preserving model reduction for MEMS applications
Baur, Ulrike; Benner, Peter; Greiner, Andreas; Korvink, Jan; Lienemann, Jan; Moosmann, Christian;
Mathematical and Computational Modelling of Dynamical Systems  :  Vol. 17 of 4;
2011.
191Optimale FE-Reduktion, Moderne Modellreduktion elastischer Bauteile für die Simulation flexibler Mehrkörpersysteme
Benner, Peter; Eberhard, Peter; Knoll, Gunter; Kürschner, Patrick; Nowakowski, Christine; Ochse, Gerald;
FVV Frühjahrstagung 2011, Frankfurt a.M.: Forschungsvereinigung Verbrennungskraftmaschinen e.V.  :  Heft R553, pp. 175-197;
2011.
@INPROCEEDINGS{BenB11,
author = {P. Benner and T. Breiten},
title = {On {$\mathcal{H}_2$}-model reduction of linear parameter-varying systems},
journal = {PAMM},
volume = {11},
number = {1},
publisher = {WILEY-VCH Verlag},
url = {http://dx.doi.org/10.1002/pamm.201110391},
doi = {10.1002/pamm.201110391},
pages = {805--806},
year = {2011},
}
On ℋ₂-model reduction of linear parameter-varying systems;
Benner, Peter; Breiten, Tobias;
Proceedings in Applied Mathematics and Mechanics  :  Volume 11, Issue 1, pages 805–806, December 2011;
Wiley InterScience; 2011.
doi: 10.1002/pamm.201110391.
@TECHREPORT{MPIMD11-10,
author = {Benner,
Peter; Breiten,
Tobias},
title = {On optimality of interpolation-based low rank approximations of large-scale matrix equations},
institution = {Max Planck Institute Magdeburg Preprints},
year = 2011,
number = {MPIMD/11-10},
month = {December} }
On optimality of interpolation-based low rank approximations of large-scale matrix equations;
Benner, Peter; Breiten, Tobias;
2011.
updated version..
@ARTICLE{BenBD11,
author = {P. Benner and T. Breiten and T. Damm},
title = {Generalised tangential interpolation for model reduction of discrete-time MIMO bilinear systems},
journal = {Internat. J. Control},
year ={2011},
volume = {84},
pages = {1398--1407},
number = {8},
doi = {http://dx.doi.org/10.1080/00207179.2011.601761},
}
Generalised tangential interpolation for model reduction of discrete-time MIMO bilinear systems;
Benner, Peter; Breiten, Tobias; Damm, Tobias;
International Journal of Control  :  Vol. 84 Issue 8, pp. 1398-1407;
2011.
doi: 10.1080/00207179.2011.601761.
258A mixed-precision algorithm for the solution of Lyapunov equations on hybrid CPU-GPU architectures;
Benner, Peter; Ezzatti, Pablo; Kressner, Daniel; Quintana-Ortí, Enrique S. ; Remón, Alfredo ;
Parallel Computing  :  Vol. 37 No. 8;
Elsevier Science Publishers B. V.; 2011. ISBN/ISSN: 0167-8191
@INPROCEEDINGS{BenHK11,
author={Benner,
P. and Hochstenbach,
M.E. and K\"u rschner,
P.},
booktitle={Communications,
Computing and Control Applications (CCCA),
2011 International Conference on},
title={Model order reduction of large-scale dynamical systems with {J}acobi-{D}avidson style eigensolvers},
year={2011},
month={march},
volume={},
number={},
pages={1 -6},
doi={10.1109/CCCA.2011.6031208},
url={http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=6031208} }
Model order reduction of large-scale dynamical systems with Jacobi-Davidson style eigensolvers;
Benner, Peter; Hochstenbach, Michiel; Kürschner, Patrick;
International Conference on Communications, Computing and Control Applications, 2011 (CCCA11)  :  
IEEE; 2011. ISBN/ISSN: 978-1-4244-9796-6
IEEE Catalog Number: CFP1154M-ART
DOI: 10.1109/CCCA.2011.6031208 .
@article{BenHK11,
author = {Benner,
P. and K\"urschner,
P. and Hochstenbach,
M.},
title = {{T}wo-sided harmonic subspace extractions for the generalized eigenvalue problem},
journal = {PAMM},
volume = {11},
number = {1},
publisher = {WILEY-VCH Verlag},
issn = {1617-7061},
url = {http://dx.doi.org/10.1002/pamm.201110359},
doi = {10.1002/pamm.201110359},
pages = {739--740},
year = {2011},
}
Two-sided harmonic subspace extractions for the generalized eigenvalue problem;
Benner, Peter; Hochstenbach, Michiel; Kürschner, Patrick;
Proceedings in Applied Mathematics and Mechanics  :  Volume 11, Issue 1, pages 741–742, December 2011;
Wiley InterScience; 2011.
doi: 10.1002/pamm.201110359.
@Techreport{HPS2011,
author = {P. Benner,
Mohammad-Sahadet Hossain,
T. Stykel},
title = {Low-rank iterative methods of periodic projected {L}yapunov equations and their application in model reduction of periodic descriptor systems},
year = {2011} }
Low-rank iterative methods of periodic projected Lyapunov equations and their application in model reduction of periodic descriptor systems;
Benner, Peter; Hossain, Mohammad-Sahadet; Stykel, Tatjana;
Chemnitz Scientific Computing, (28 pages);
CSC/ 11-01; 2011. ISBN/ISSN: ISSN 1864-0087
@TECHREPORT{MPIMD11-11,
author = { Peter Benner,
Martin Köhler,
Jens Saak},
title = {{Sparse-Dense Sylvester Equations in H2-Model Order Reduction},
institution = {Max Planck Institute Magdeburg Preprints},
year = 2011,
number = {MPIMD/11-11},
month = {December} }
Sparse-Dense Sylvester Equations in H₂-Model Order Reduction;
Benner, Peter; Köhler, Martin; Saak, Jens;
2011.
@article {BenM11d,
author = {P. Benner and T. Mach},
title = {Locally Optimal Block Preconditioned Conjugate Gradient Method for Hierarchical Matrices},
journal = {PAMM},
volume = {11},
number = {1},
publisher = {WILEY-VCH Verlag},
issn = {1617-7061},
url = {http://dx.doi.org/10.1002/pamm.201110360},
doi = {10.1002/pamm.201110360},
pages = {741--742},
year = {2011},
}
Locally Optimal Block Preconditioned Conjugate Gradient Method for Hierarchical Matrices;
Benner, Peter; Mach, Thomas;
Proceedings in Applied Mathematics and Mechanics  :  Volume 11, Issue 1, pages 741–742, December 2011;
Wiley InterScience; 2011.
DOI: 10.1002/pamm.201110360.
@String{MCMDS = {Math. Comput. Model. Dyn. Sys.}} @Article{BenS11,
author = {P. Benner and J. Saak},
title = {{Efficient Balancing based MOR for Large Scale Second Order Systems}},
journal = MCMDS,
year = 2011,
volume = 17,
number = 2,
pages = {123--143},
note = {DOI:10.1080/13873954.2010.540822},
}
Efficient Balancing based MOR for Large Scale Second Order Systems ;
Benner, Peter; Saak, Jens;
Mathematical and Computer Modelling of Dynamical Systems  :  Volume 17, Issue 2, pp. 123-143;
Taylor & Francis; 2011. ISBN/ISSN: 1387-3954
DOI:10.1080/13873954.2010.540822.
@INBOOK{BenS2011,
chapter = {16},
pages = {277--287},
title = {Model Reduction for Circuit Simulation -- On Stability,
Passivity and Reciprocity Preservation of ESVDMOR},
publisher = {Springer-Verlag,
Berlin/Heidelberg,
Germany},
year = {2011},
editor = {P. Benner and M. Hinze and E. Jan W. ter Maten},
author = {P. Benner and A. Schneider},
volume = {74},
series = {Lecture Notes in Electrical Engineering},
isbn={978-94-007-0088-8},
owner = {schneidera},
}
On Stability, Passivity and Reciprocity Preservation of ESVDMOR;
Benner, Peter; Schneider, André
in Benner, Peter; Hinze, Michael; ter Maten, E. Jan W.: Model Reduction for Circuit Simulation  :  Vol. 74 of Lecture Notes in Electrical Engineering, Ch 16, pp. 277-287;
Springer-Verlag, Berlin/Heidelberg, Germany; 2011. ISBN/ISSN: 978-94-007-0088-8
@INPROCEEDINGS{BenS11,
author = {P. Benner and A. Schneider},
title = {Some Remarks on A Priori Error Estimation for {ESVDMOR}},
booktitle = {Scientific Computing in Electrical Engineering SCEE 2010},
year = {2012},
editor = {B. Michielsen and J.-R. Poirier},
volume = {16},
pages = {15--24},
series = {Mathematics in Industry},
publisher = {Springer-Verlag,
Berlin/Heidelberg,
Germany},
owner = {schneidera},
}
Some Remarks on A Priori Error Estimation for ESVDMOR;
Benner, Peter; Schneider, André
in Michielsen, Bastiaan; Poirier, Jean-René (Eds.): Scientific Computing in Electrical Engineering SCEE 2010  :  Vol. 16 of Mathematics in Industry, Part I, pp. 15-24;
Springer-Verlag, Berlin/Heidelberg, Germany; 2011. ISBN/ISSN: 978-3-642-22452-2
@INPROCEEDINGS{BenV11b,
author = {Peter Benner and Matthias Voigt},
title = {$\mathcal{L}_\infty$-Norm Computation for Discrete-Time Descriptor Systems},
booktitle= {Tagungsband des GMA-Fachausschusses 1.30 \glqq Modellbildung,
Identifikation und Simulation in der Automatisierungstechnik\grqq},
pages = {228--240},
editor = {Oliver Sawodny and J\"urgen Adamy},
month = {December},
year = {2011},
publisher = {Technische Universit\"at Darmstadt,
Institut f\"ur Automatisierungstechnik und Mechatronik},
isbn = {978-3-9815012-1-6},
}
L-Norm Computation for Discrete-Time Descriptor Systems;
Benner, Peter; Voigt, Matthias;
in Sawodny, Oliver; Adamy, Jürgen: Tagungsband des GMA-Fachausschusses 1.30 „Modellbildung, Identifikation und Simulation in der Automatisierungstechnik“  :  pp. 228 - 240;
Technische Universität Darmstadt, Institut für Automatisierungstechnik und Mechatronik; 2011. ISBN/ISSN: 978-3-9815012-1-6
@INPROCEEDINGS{BenV11a,
author = {Peter Benner and Matthias Voigt},
title = {On the Computation of Particular Eigenvectors of {H}amiltonian Matrix Pencils},
booktitle = {Proceedings in Applied Mathematics and Mechanics},
volume = {11},
number = {1},
month = {December},
year = {2011},
pages = {753--754},
doi = {10.1002/pamm.201110366},
}
On the Computation of Particular Eigenvectors of Hamiltonian Matrix Pencils;
Benner, Peter; Voigt, Matthias;
Proceedings in Applied Mathematics and Mechanics  :  Vol. 11, No. 1, pp. 753 - 754;
Wiley InterScience; 2011.
DOI: 10.1002/pamm.201110366.
@InProceedings{BonSSetal11,
author = {Bonin,
T. and Soppa,
A. and Saak,
J. and Zaeh,
M. and Fa{\ss}bender,
H. and Benner,
P.},
title = {Moderne {M}odellordnungsreduktionsverfahren für {F}inite-{E}lemente-{M}odelle zur {S}imulation von {W}erkzeugmaschinen},
booktitle = {Fachtagung MECHATRONIK 2011,
Dresden,
31.03.-01.04.2011},
pages = {333--338},
year = 2011,
note = {ISBN 978-3-00-033892-2} }
Moderne Modellordnungsreduktionsverfahren für Finite-Elemente-Modelle zur Simulation von Werkzeugmaschinen
Bonin, Thomas; Soppa, Andreas; Saak, Jens; Zäh, Michael; Faßbender, Heike; Benner, Peter;
Fachtagung MECHATRONIK 2011, Dresden, 31.03.-01.04.2011; 2011. ISBN/ISSN: 978-3-00-033892-2
279High Performance Matrix Inversion on a Multi-core Platform with several GPUs;
Ezzatti, Pablo; Quintana-Ortí, Enrique S.; Remón, Alfredo;
in Cotronis, Yiannis; Danelutto, Marco; Papadopoulos, George A.: Proceedings of the 19th International Euromicro Conference on Parallel, Distributed and Network-based Processing, PDP 2011  :  Vol. ?? of;
IEEE Computer Society; 2011. ISBN/ISSN: 978-0-7695-4328-4
375Smoothness of Subdivision Surfaces with Boundary
Henning Biermann, Sara Grundel, Denis Zorin;
Vol. ?? of;
2011.
@PHDTHESIS{hossainTh2011,
author = {Hossain,
Mohammad-Sahadet},
title = {Methods for Model Reduction of Time-Varying Descriptor Systems},
school = {Chemnitz University of Technology},
year = {2011},
type = {{P}h.{D}. thesis} }
Numerical Methods for Model Reduction of Time-Varying Descriptor Systems;
Hossain, Mohammad-Sahadet;
PhD Thesis; TU Chemnitz  :  
2011.
@TECHREPORT{MPIMD11-12,
author = {Thomas Mach,
Jens Saak},
title = {Towards an ADI iteration for Tensor Structured Equations},
institution = {Max Planck Institute Magdeburg Preprints},
year = 2011,
number = {MPIMD/11-12},
month = {December} }
Towards an ADI iteration for Tensor Structured Equations;
Mach, Thomas; Saak, Jens;
Max Planck Institute Magdeburg Preprints, MPIMD/11-12;
2011.
16 pages.
217Lösen der inversen Wärmeleitungsgleichung als linear quadratisches Regelungsproblem;
Norman Lang;
2011.
Diplomarbeit; Technische Universität Chemnitz;.
317Model Reduction for Circuit Simulation;
Peter Benner, Michael Hinze, and E. Jan W. ter Maten (Eds.);
Lecture Notes in Electrical Engineering, Vol. 74;
Springer-Verlag; 2011. ISBN/ISSN: 978-94-007-0088-8
220 Numerical Solution of Differential Riccati Equations on Hybrid CPU-GPU Platforms;
Peter Benner, Pablo Ezzatti, Hermann Mena, Enrique S. Quintana-Ortí, and Alfredo Remón;
Proceedings of ALAMA2010 - 2nd Meeting on Linear Algebra, Matrix Analysis, and Applications, Valencia, June 2nd-4th  :  7 pages;
2011. ISBN/ISSN: 978-84-8363-544-5
219Solving Differential Riccati Equations on Multi-GPU Platforms;
Peter Benner, Pablo Ezzatti, Hermann Mena, Enrique S. Quintana-Ortí, and Alfredo Remón;
Proceedings of the 11th International Conference on Computational and Mathematical Methods in Science and Engineering, CMMSE 2011  :  Vol. 1 pp. 178-188;
2011. ISBN/ISSN: 978-84-614-6167-7
160A Hamiltonian Krylov-Schur-type method based on the symplectic Lanczos process;
Peter Benner; Heike Faßbender; Martin Stoll;
Linear Algebra and its Applications Volume 435, Issue 3, 1 August 2011, Pages 578-600  :  
2011.
264Real-Time Endmember Extraction on Multicore Processors;
Remón, Alfredo, Sánchez, Sergio; Paz, Abel, Quintana-Ortí, Enrique S. ; Plaza, Antonio;;
IEEE Geoscience and remote sensing letters  :  Vol. 8 Is. 5;
IEEE; 2011. ISBN/ISSN: 1545-598X
297Model Reduction for Piezo-Mechanical Systems using Balanced Truncation;
Uddin, M. Monir;
QUCOSA; 2011.
Master's Thesis, Faculty of Mathematics, Stockholms University, Sweden..

2010

@INPROCEEDINGS{BenBD10,
author = {P. Benner and T. Breiten and T. Damm},
title = {Krylov Subspace Methods for Model Order Reduction of Bilinear Discrete-Time Control Systems},
journal = {PAMM},
volume = {10},
number = {1},
publisher = {WILEY-VCH Verlag},
url = {http://dx.doi.org/10.1002/pamm.201010293},
doi = {10.1002/pamm.201010293},
pages = {601--602},
year = {2010},
}
Krylov Subspace Methods for Model Order Reduction of Bilinear Discrete-Time Control Systems;
Benner, Peter; Breiten, Tobias; Damm, Tobias;
Proceedings in Applied Mathematics and Mechanics   :  Vol. 10 Issue 1, pp. 601-602;
Wiley InterScience; 2010.
doi: 10.1002/pamm.201010293.
278Using Hybrid CPU-GPU Platforms to Accelerate the Computation of the Matrix Sign Function ;
Benner, Peter; Ezzatti, Pablo; Quintana-Ortí, Enrique S.; Remón, Alfredo;
in Lin, Hai-Xiang; Alexander, Michael; Forsell, Martti; Knupfer, Andreas; Prodan, Radu; Sousa, Leonel; Streit, Achim: Euro-Par 2009 - Parallel Processing Workshops  :  Lecture Notes in Computer Science Vol. 6043;
Springer; 2010. ISBN/ISSN: 978-3-642-14121-8
144Die SLICOT-Toolboxen für Matlab;
Benner, Peter; Kressner, Daniel; Sima, Vasile,; Varga, Andras ;
at-Automatisierungstechnik  :  Vol. 58, No. 1, pp. 15-25;
2010.
@ARTICLE{BenM10,
author = {Peter Benner and Thomas Mach},
title = {{O}n the {QR} {D}ecomposition of $\mathcal{H}$-{M}atrices},
year = {2010},
journal = {Computing},
volume = {88},
number = {3--4},
pages = {111--129} }
On the QR Decomposition of ℋ-Matrices;
Benner, Peter; Mach, Thomas;
Computing  :  Vol. 88, No. 3-4, pp. 111-129;
Springer; 2010.
DOI: 10.1007/s00607-010-0087-y
see also CSC preprint 09-04.
@TechReport{BenS10,
author = {P. Benner and J. Saak},
title = {{A Galerkin-Newton-ADI Method for Solving Large-Scale Algebraic Riccati Equations}},
institution = {SPP1253},
note = {\url{http://www.am.uni-erlangen.de/home/spp1253/wiki/index.php/Preprints}},
year = 2010,
number = {SPP1253-090},
month = {January},
type = {Preprint} }
A Galerkin-Newton-ADI Method for Solving Large-Scale Algebraic Riccati Equations;
Benner, Peter; Saak, Jens;
2010.
SPP1253 preprint SPP1253-090.
@ARTICLE{BenS10b,
author = {P. Benner and J. Saak},
title = {{Suboptimality Estimates for the Semi-Discretized LQR Problem for Parabolic PDEs}},
journal = {Proc. Appl. Math. Mech.},
year = 2008,
volume = 8,
pages = {10085 - 10088},
number = 1,
note = {DOI: 10.1002/pamm.201010288} }
Suboptimality Estimates for the Semi-Discretized LQR Problem for Parabolic PDEs;
Benner, Peter; Saak, Jens;
Proceedings in Applied Mathematics and Mechanics   :  
Wiley InterScience; 2010.
DOI: 10.1002/pamm.201010288 Pages: 591–592.
@INPROCEEDINGS{BenS10b,
author = {P. Benner and A. Schneider},
title = {{Balanced Truncation Model Order Reduction for LTI Systems with many Inputs or Outputs}},
booktitle = {Proceedings of the 19th International Symposium on Mathematical Theory of Networks and Systems - MTNS 2010,
5-9 July,
2010,
Budapest,
Hungary},
year = {2010},
editor = {András Edelmayer},
pages = {1971--1974},
isbn = {978-963-311-370-7},
owner = {schneidera},
}
Balanced Truncation Model Order Reduction for LTI Systems with many Inputs or Outputs;
Benner, Peter; Schneider, André
in András Edelmayer: Proceedings of the 19th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2010), 5-9 July, 2010  :  
Budapest, Hungary; 2010. ISBN/ISSN: 978-963-311-370-7
@INPROCEEDINGS{BenS10,
author = {P. Benner and A. Schneider},
title = {Model order and terminal reduction approaches via matrix decomposition and low rank approximation},
booktitle = {Scientific Computing in Electrical Engineering SCEE 2008},
year = {2010},
editor = {J. Roos and L.~R.~J. Costa},
volume = {14},
series = {Mathematics in Industry},
pages = {523--530},
publisher = {Springer-Verlag,
Berlin/Heidelberg,
Germany},
owner = {schnea},
}
Model order and terminal reduction approaches via matrix decomposition and low rank approximation;
Benner, Peter; Schneider, André;
in J. Roos and L.R.J. Costa: Scientific Computing in Electrical Engineering SCEE 2008  :  Vol. 14 of Mathematics in Industry, Part V, pp. 523-530;
Springer-Verlag, Berlin/Heidelberg, Germany; 2010. ISBN/ISSN: 978-3-642-12294-1
@ARTICLE{BreD10,
author = {T. Breiten and T. Damm},
title = {Krylov subspace methods for model order reduction of bilinear control systems},
journal = {Syst. Control Lett.},
year = {2010},
volume = {59},
pages = {443--450},
doi = {http://dx.doi.org/10.1016/j.sysconle.2010.06.003},
}
Krylov subspace methods for model order reduction of bilinear control systems;
Breiten, Tobias; Damm, Tobias;
Systems & Control Letters  :  Vol. 59 Issue 8, pp. 443-450 ;
2010.
doi: 10.1016/j.sysconle.2010.06.003.
168Preconditioning for Allen-Cahn variational inequalities with non-local constraints;
Luise Blank; Lavinia Sarbu; Martin Stoll;
Oberwolfach report - not refereed  :  
2010.
171All-at-once solution of time-dependent PDE-constrained optimization problems;
Martin Stoll; Andy Wathen;
Technical Report  :  
2010.
163Preconditioning saddle point problems with applications in optimization;
N.I.M. Gould; H.S. Dollar; Martin Stoll; Andy Wathen;
SIAM Journal of Scientific Computing, 32(2010), pp. 249-270  :  Vol. 31;
2010.
@MASTERSTHESIS{Kuer10,
author = {P. K\"urschner},
title = {Two-Sided Eigenvalue Methods for Modal Approximation},
school = {Chemnitz University of Technology,
Department of Mathematics,
Germany},
year = {2010},
owner = {kupa},
timestamp = {2010.07.16} }
Two-Sided Eigenvalue Methods for Modal Approximation;
Patrick Kürschner;
Chemnitz University of Technology; 2010.
199Recycling Krylov Subspace for Solving Linear Systems with Sccessive Right-Hand Sides Arising in Model Reduction;
Peter Benner and Lihong Feng;
in Peter Benner, Michael Hinze and E. Jan W. ter Maten: Model Reduction for Circuit Simulation, Lecture Notes in Electrical Engineering, Springer-Verlag, Dordrecht  :  Vol. 74, pp. 125-140 ;
2010. ISBN/ISSN: 978-94-007-0088-8
165Block triangular preconditioners for PDE constrained optimization;
Tyrone Rees; Martin Stoll;
Numerical Linear Algebra with Applications Volume 17, Issue 6, pages 977–996, December 2010  :  
2010.
164All-at-once preconditioning in PDE-constrained optimization;
Tyrone Rees; Martin Stoll; Andy Wathen;
Kybernetika  :  Vol. 46 (2);
2010.
@MASTERSTHESIS{Voi10,
author = {Matthias Voigt},
title = {$\mathcal{L}_\infty$-Norm Computation for Descriptor Systems},
school = {Chemnitz University of Technology,
Faculty of Mathematics,
Germany},
month = {July},
year = {2010},
type = {Diploma Thesis},
url = {http://nbn-resolving.de/urn:nbn:de:bsz:ch1-201001050},
}
L-Norm Computation for Descriptor Systems;
Voigt, Matthias;
2010.
Diploma Thesis, Faculty of Mathematics, TU Chemnitz.
@MastersThesis{Wei10b,
author = {H. K. Weichelt},
title = {Feedback-{S}tabilisierung von instationären,
inkompressiblen {S}trömungen mit {R}iccati-{A}nsatz},
school = {Technische Universit\"at Chemnitz},
year = {2010},
type = {Diplomarbeit},
address = {D-09107 Chemnitz},
month = {December},
note = {\url{http://www.mpi-magdeburg.mpg.de/mpcsc/weichelt/Data/diplomarbeit.pdf}} }
Feedback-Stabilisierung von instationären, inkompressiblen Strömungen mit Riccati-Ansatz;
Weichelt, Heiko K.;
Diplomarbeit;
Technische Universität Chemnitz; 2010.
(German only).
@MastersThesis{Wei10,
author = {H. K. Weichelt},
title = {Navier-{S}tokes-{G}leichung gekoppelt mit dem {T}ransport von (reaktiven) {S}ubstanzen},
school = {Technische Universit\"at Chemnitz},
year = {2010},
type = {Abschlussbericht Modellierungsseminar},
address = {D-09107 Chemnitz},
month = {April},
note = {\url{http://www.mpi-magdeburg.mpg.de/mpcsc/weichelt/Data/mod_sem.pdf}} }
Navier-Stokes-Gleichung gekoppelt mit dem Transport von (reaktiven) Substanzen;
Weichelt, Heiko K.;
Abschlussbericht Modellierungsseminar;
Technische Universität Chemnitz; 2010.
(German only).
@MASTERSTHESIS{Wil10,
author = {Judith Will},
title = {An Optimal Control Problem in Electromagnetic Induction Heating},
school = {Chemnitz University of Technology,
Department of Mathematics,
Germany},
year = {2010},
owner = {will}}
An Optimal Control Problem in Electromagnetic Induction Heating;
Will, Judith;
Chemnitz University of Technology; 2010.

2009

@ARTICLE{BauB09,
author = {U. Baur and P. Benner},
title = {Modellreduktion f\"ur parametrisierte {S}ysteme durch balanciertes {A}bschneiden und {I}nterpolation ({M}odel {R}eduction for {P}arametric {S}ystems {U}sing {B}alanced {T}runcation and {I}nterpolation)},
journal = {at-Automatisierungstechnik},
year = {2009},
volume = {57},
pages = {411--420},
number = {8} }
Modellreduktion für parametrisierte Systeme durch balanciertes Abschneiden und Interpolation (Model Reduction for Parametric Systems)
Baur, Ulrike; Benner, Peter;
at-Automatisierungstechnik  :  Vol. 57 of 8;
2009.
@Article{HP09,
author = {P. Benner,
Mohammad-Sahadet Hossain and },
title = {Model Reduction of Periodic Descriptor Systems Using Balanced Truncation},
journal = {Lecture Notes in Electrical Engineering series},
volume={74},
page={193-206},
year = {2009},
}
Model Reduction of Periodic Descriptor Systems Using Balanced Truncation;
Benner, P, Hossain, Mohammad-Sahadet, Stykel, T;
in Peter Benner, Michael Hinze, E. Jan W. ter Maten (Eds.):  Model Reduction for Circuit Simulation, Lecture Notes in Electrical Engineering series  :  74, pages: 193-206;
Springer-Verlag, Dordrecht (Book published in 2011); ; 2009.
DOI: 10.1007/978-94-007-0089-5_11.
@InProceedings{BenBFetal09,
author = {Benner,
P. and Bonin,
T. and Fa{\ss}bender,
H. and Saak,
J. and Soppa,
A. and Zaeh,
M.},
title = {{Novel Model Reduction Techniques for Control of Machine Tools}},
booktitle = {Proceedings of ANSYS Conference \& 27. CADFEM Users\\\\'{} Meeting 2009,
18.-20. November 2009,
Congress Center Leipzig},
year = 2009,
address = {Grafing},
publisher = {CADFEM GmbH},
note = {ISBN/ISSN: 3-937523-06-5} }
Novel Model Reduction Techniques for Control of Machine Tools;
Benner, Peter; Bonin, Thomas; Faßbender, Heike; Saak, Jens; Soppa, Andreas; Zaeh, Michael;
Proceedings of ANSYS Conference & 27. CADFEM Users’ Meeting 2009, 18.-20. November 2009, Congress Center Leipzig, paper 2.9.18 (10 pages);
CADFEM GmbH, Grafing ; 2009. ISBN/ISSN: 3-937523-06-5
also available from http://archiv.tu-chemnitz.de/pub/2009/0183.
146Model Predictive Control Based on an LQG Design for Time-Varying Linearizations;
Benner, Peter; Hein, Sabine;
CSC preprint 09-07  :  
2009.
138Model Predictive Control for Nonlinear Parabolic Differential Equations Based on a Linear Quadratic Gaussian Design
Benner, Peter; Hein, Sabine;
Proceedings in Applied Mathematics and Mechanics   :  Wiley InterScience;
2009.
doi: 10.1002/pamm.200910278.
154Computing the Eigenvalues of Hierarchical Matrices by LR-Cholesky Transformations;
Benner, Peter; Mach, Thomas;
Mathematisches Forschungsinstitut Oberwolfach, Report No. 37/2009, pp. 325-328;
Mathematisches Forschungsinstitut Oberwolfach; 2009.
DOI: 10.4171/OWR/2009/37.
@INPROCEEDINGS{BenS09,
author = {Peter Benner and Jens Saak},
title = {Efficient Balancing based MOR for Second Order Systems Arising in Control of Machine Tools},
booktitle = {Proceedings of the MathMod 2009},
year = 2009,
editor = {I. Troch and F. Breitenecker},
number = 35,
series = {ARGESIM-Reports},
pages = {1232-1243},
address = {Vienna,
Austria},
month = {January},
organization = {Vienna Univ. of Technology},
publisher = {ARGE Simulation News},
note = {ISBN/ISSN: 978-3-901608-35-3} }
Efficient Balancing based MOR for Second Order Systems Arising in Control of Machine Tools
Benner, Peter; Saak, Jens;
in I. Troch; F. Breitenecker: MathMod 2009 Proceedings  :  No. 35 Vol. 2 of ARGESIM-Reports;
2009. ISBN/ISSN: 978-3-901608-35-3
@InProceedings{BenBFetal09,
author = {Benner,
P. and Bonin,
T. and Fa{\ss}bender,
H. and Saak,
J. and Soppa,
A. and Zaeh,
M.},
title = {{Novel Model Reduction Techniques for Control of Machine Tools}},
booktitle = {Proceedings of ANSYS Conference \& 27. CADFEM Users\\\'{} Meeting 2009,
18.-20. November 2009,
Congress Center Leipzig},
year = 2009,
address = {Grafing},
publisher = {CADFEM GmbH},
note = {ISBN/ISSN: 3-937523-06-5} }
Modale versus moderne Ordnungsreduktionsverfahren: Effiziente Simulation von Werkzeugmaschinen[German];
Bonin, Thomas; Zäh, Michael; Soppa, Andreas; Faßbender, Heike; Saak, Jens; Benner, Peter;
Mechatronik  :  November 2009;
Hanser; 2009. ISBN/ISSN: 1867-2590
pp. 46-47 .
145Parametric Model Order Reduction Accelerated by Subspace Recycling;
Feng, Lihong; Benner, Peter; Korvink, Jan G.;
Proceedings of 48th IEEE Conference on Decision and 28th Chinese Control Conference, Shanghai, P.R. China, December 16-18, 2009  :  pp. 4328-4333;
IEEE Publications; 2009.
@TECHREPORT{KoeS09,
author = {Martin K\"ohler and Jens Saak},
title = {Efficiency improving implementation techniques for large scale matrix equation solvers},
institution = {TU Chemnitz},
year = 2009,
type = {{C}hemnitz {S}cientific {C}omputing {P}rep.},
number = {CSC 09-10},
type = {Preprint} }
Efficiency improving implementation techniques for large scale matrix equation solvers;
Köhler, Martin; Saak, Jens;
CSC Preprint 09-10;
2009.
@Article{Daff09,
author = {M. Sahadet Hossain,
M. Mostafizur Rahman},
title = {A Study of Linear Differential Algebraic Equations With Constant Coefficients},
journal = {Journal of science and technology,
Daffodil international University,
Bangladesh,
August,
2009},
year = {2009},
note = {Journal of science and technology,
Daffodil international University,
Bangladesh,
August,
2009}}
A Study of Linear Differential Algebraic Equations With Constant Coefficients;
M. Sahadet Hossain, M. Mostafizur Rahman;
2009.
Published on Journal of science and technology, Volume 4, Issue 2, July 2009, Daffodil international University, Bangladesh..
@InProceedings{MenS09,
author = {H. Mena and J. Saak},
title = {Simulaci\\\'on num\\\'erica de circuitos el\\\'ectricos a gran escala},
year = 2009,
booktitle = {Proceedings of XXII JORNADAS DE INGENIER\\\'IA EL\\\'ECTRICA Y ELECTR\\\'ONICA},
note = {ISBN/ISSN: 978-9978-383-00-1} }
Simulación numérica de circuitos eléctricos a gran escala
Mena, Hermann; Saak, Jens;
proceedings of XXII JORNADAS DE INGENIERÍA ELÉCTRICA Y ELECTRÓNICA;
2009. ISBN/ISSN: 978-9978-383-00-1
pages 147-155.
@InProceedings{RS_Simulation_to_Optimisation__Quito_2008,
author = {R. Schneider},
title = {Systems Modelling,
from Simulation to Optimization},
booktitle = {IV Jornadas de Ingenieria de Sistemas Informaticos y de Computacion,
Noviembre 2008},
pages = {101--108},
year = {2009},
series = {Memorias Tecnicas},
organization = {Facultad de Ingenieria de Sistemas Informaticos y de Computacion,
Escuela Politecnica Nacional,
Quito,
Ecuador} }
Systems Modelling, from Simulation to Optimization;
Rene Schneider;
IV Jornadas de Ingenieria de Sistemas Informaticos y de Computacion, Noviembre 2008  :  Memorias Tecnicas;
Facultad de Ingenieria de Sistemas Informaticos y de Computacion, Escuela Politecnica Nacional, Quito, Ecuador; 2009. ISBN/ISSN: 978-9978-92-592-8
@PhdThesis{Saa09,
author = {Jens Saak},
title = {Efficient Numerical Solution of Large Scale Algebraic Matrix Equations in PDE Control and Model Order Reduction},
school = {TU Chemnitz},
year = 2009,
month = {July},
note = {available from \url{http://nbn-resolving.de/urn:nbn:de:bsz:ch1-200901642}} }
Efficient Numerical Solution of Large Scale Algebraic Matrix Equations in PDE Control and Model Order Reduction;
Saak, Jens;
PhD Thesis, TU Chemnitz; 2009.
@TechReport{SaaS09,
author = {Jens Saak and Stephan Schl\"omer},
title = {{RRQR-MEX - Linux and Windows 32bit Matlab Mex-Files for the rank revealing QR factorization.}},
institution = {Chemnitz Scientific Computing},
year = 2009,
number = {09-09},
month = {December} }
RRQR-MEX - Linux and Windows 32bit Matlab Mex-Files for the rank revealing QR factorization.;
Saak, Jens; Schlömer, Stephan;
CSC-09-09;
Chemnitz Scientific Computing Preprints; 2009. ISBN/ISSN: 1864-0087

2008

98Parallel Implementation of LQG Balanced Truncation for Large-Scale Systems;
Badía, José M., Benner, Peter, Mayo Rafael, Quintana-Ortí, Enrique S.; Quintana-Ortí, Gregorio; Remón, Alfredo;
in Lirkov, Ivan and Margenov, Svetozar and Wasniewski, Jerzy: Large-Scale Scientific Computing  :  
Springer-Verlag; 2008. ISBN/ISSN: 978-3-540-78825-6
@phdthesis{Bau08,
author ={U. Baur},
title ={Control-{O}riented {M}odel {R}eduction for {P}arabolic {S}ystems},
year ={2008},
month = jan,
school ={Inst. f. Mathematik,
TU Berlin},
address ={Str. des 17. Juni 136,
D-10623 Berlin,
FRG},
type ={Dissertation} ,
note = {ISBN 978-3639074178 Vdm Verlag Dr. M\"uller,
Available from \url{http://www.nbn-resolving.de/urn:nbn:de:kobv:83-opus-17608}} }
Control-Oriented Model Reduction for Parabolic Systems;
Baur, Ulrike;
Control-Oriented Model Reduction for Parabolic Systems  :  
VDM Verlag Dr. Müller ; 2008. ISBN/ISSN: 978-3639074178
@ARTICLE{Bau08a,
author = {U. Baur},
title = {Low rank solution of data-sparse {S}ylvester equations},
journal = NumAlgAppl,
year = 2008,
pages = {837--851},
volume = {15},
number = {9} }
Low Rank Solution of Data-Sparse Sylvester Equations;
Baur, Ulrike;
in Benner, Peter: Numerical Linear Algebra with Applications   :  Vol. 15 of 9;
john wiley & sons ltd; 2008.
DOI: 10.1002/nla.605.
@ARTICLE{BauB08c,
author = {U. Baur and P. Benner},
title = {Cross-Gramian based model reduction for data-sparse systems},
journal = {Electronic Transactions on Numerical Analysis (ETNA)},
year = {2008},
volume = {31},
pages = {256--270} }
Cross-Gramian based model reduction for data-sparse systems
Baur, Ulrike; Benner, Peter;
Electronic Transactions on Numerical Analysis (ETNA)  :  Vol. 31;
2008.
@article{BauB08,
author = {U. Baur and P. Benner},
title = {Gramian-Based Model Reduction for Data-Sparse Systems},
journal = SIAMSciComp,
year = {2008},
volume = {31},
pages = {776--798},
number = {1} }
Gramian-Based Model Reduction for Data-Sparse Systems;
Baur, Ulrike; Benner, Peter;
SIAM Journal on Scientific Computing  :  Vol. 31 of;
SIAM; 2008.
ISSN 1064-8275 (print) 1095-7197 (online).
@INPROCEEDINGS{morBauB08b,
author = {U. Baur and P. Benner},
title = {Parametrische Modellreduktion mit d\"unnen Gittern},
booktitle = {Tagungsband GMA-Fachausschuss 1.30,
\"Modellierung,
Identifikation und Simulation in der Automatisierungstechnik\",
Workshop in Anif},
year = {2008},
editor = {B. Lohmann and A. Kugi (Eds.)},
pages = {262--271},
note = {ISBN: 978-3-9502451-1-0} }
Parametrische Modellreduktion mit dünnen Gittern
Baur, Ulrike; Benner, Peter;
in B. Lohmann and A. Kugi: Tagungsband GMA-Fachausschuss 1.30, \"Modellierung, Identifikation und Simulation in der Automatisierungstechnik\", Workshop in Anif  :  Vol. ?? of;
2008. ISBN/ISSN: 978-3-9502451-1-0
49Solving Large-Scale Quadratic Eigenvalue Problems with Hamiltonian Eigenstructure using a Structure-Preserving Krylov Subspace Method;
Benner, Peter; Faßbender, Heike;; Stoll, Martin;;
Electronic Transactions on Numerical Analysis  :  
2008.
@ARTICLE{BMS08,
author = {P. Benner and H. Mena and J. Saak},
title = {On the Parameter Selection Problem in the {N}ewton-{ADI} Iteration for Large-Scale {R}iccati Equations},
journal = {Electronic Transitions on Numerical Analysis},
year = {2008},
volume = {29},
pages = {136-149},
booktitle = {Special Volume on Applied Linear Algebra},
comment = {ISSN 1068-9613},
publisher = {ETNA},
series = {Electronic Transitions on Numerical Analysis} }
On the Parameter Selection Problem in the Newton-ADI Iteration for Large-Scale Riccati Equations;
Benner, Peter; Mena, Hermann; Saak, Jens;;
Electronic Transactions on Numerical Analysis  :  Vol. 29 of ETNA pp. 136-149;
2008. ISBN/ISSN: 1068-9613
also available as CSC Preprint 06-03 .
@Article{BenS08,
author = {Benner,
Peter and Saak,
Jens},
title = {Efficient solution of large scale Lyapunov and Riccati equations arising in model order reduction problems},
journal = {Proc. Appl. Math. Mech.},
year = {2008},
month = {December},
volume = 8,
number = 1 }
Efficient solution of large scale Lyapunov and Riccati equations arising in model order reduction problems
Benner, Peter; Saak, Jens;
Proceedings in Applied Mathematics and Mechanics  :  
Wiley InterScience; 2008.
DOI: 10.1002/pamm.200810085.
162Computing the scattering amplitude;
Gene H. Golub; Martin Stoll; Andy Wathen;
Electronic Transactions on Numerical Analysis, Vol. 31  :  
2008.
119Model Order Reduction for Systems with Non-Rational Transfer Function Arising in Computational Electromagnetics;
Lihong Feng; Peter Benner;
Mathematics in Industry -- Scientific Computing in Electrical Engineering (SCEE 2008), Springer  :  
2008.
@article{LosM08,
author = {P. Losse and V. Mehrmann},
title = {Controllability and observability of second order descriptor systems},
journal = SIAMCont,
year = {2008},
volume = {47 (3)},
pages = {1351--1379} }
Controllability and observability of second order descriptor systems;
Losse, Philip; Mehrmann, Volker;
SIAM Journal on Control and Optimization  :  Vol. 47, No. 3, pp. 1351-1379;
SIAM; 2008. ISBN/ISSN: 0363-0129
@MASTERSTHESIS{Mac08,
author = {Thomas Mach},
title = {L\"osung von Randintegralgleichungen zur Bestimmung der Kapazit\"atsmatrix von Elektrodenanordnungen mittels $\mathcal{H}$-Arithmetik},
school = {TU Chemnitz},
year = {2008},
}
Lösung von Randintegralgleichungen zur Bestimmung der Kapazitätsmatrix von Elektrodenanordnungen mittels ℋ-Arithmetik;
Mach, Thomas;
Diplomarbeit; Technische Universität Chemnitz; 2008.
73 pages.
161Combination preconditioning and the Bramble-Pasciak+ preconditioner;
Martin Stoll; Andy Wathen;
SIAM. J. Matrix Anal. & Appl. 30, pp. 582-608  :  Vol. 30;
2008.
@Article{HP08,
author = {Mohammad-Sahadet Hossain and P. Benner},
title = {Projection-Based Model Reduction for LTV Descriptor Systems Using Multipoint Krylov Subspace Projectors},
journal = {Proc. Appl. Math. Mech.},
year = {2008},
note = {submitted for publication}}
Projection-Based Model Reduction for LTV Descriptor Systems Using Multipoint Krylov Subspace Projectors ;
Mohammad-Sahadet Hossain; P. Benner;
Proceedings in Applied Mathematics and Mechanics   :  Wiley InterScience; 2008. Volume 8 Issue 1, Pages 10081 - 10084;
2008.
doi: 10.1002/pamm.200810081.
@inproceedings{BLMPR08,
title={Gamma-Iteration for Descriptor Systems Using Structured Matrix Pencils},
author={P. Benner and P. Losse and V. Mehrmann and L. Poppe and T. Reis},
year=2008,
booktitle={Proceedings of the International Symposium on Mathematical Theory of Networks and Systems},
adress={Blacksburg VA,
USA} }
Gamma-Iteration for Descriptor Systems Using Structured Matrix Pencils
P. Benner, P. Losse, V. Mehrmann, L. Poppe, T. Reis;
Proceedings MTNS08  :  
2008.
@article{LosMPR08,
author = {P. Losse and V. Mehrmann and L. Poppe and T. Reis},
title = {The modified optimal $\mathcal{H}_\infty$ control problem for descriptor systems},
journal = {SIAM Journal on Control and Optimization},
volume = {47 (6)},
pages={2795--2811},
year = {2008}
The modified optimal H control problem for descriptor systems;
P. Losse, V. Mehrmann, L. Poppe; T. Reis;
SIAM Journal on Control and Optimization  :  Vol.47, No.6, pp.2795-2811;
SIAM; 2008. ISBN/ISSN: 0363-0129
112Using the Superposition Property for Model Reduction of Linear Systems with Large Number of Inputs;
Peter Benner, Lihong Feng; E. B. Rudnyi ;
Proceedings of the 18th International Symposium on Mathematical Theory of Networks& Systems  :   pp. 79 (12 pages);
2008.
276An Algorithm-by-Blocks for SuperMatrix Band Cholesky Factorization;
Quintana-Ortí, Gregorio; Quintana-Ortí, Enrique S; Remón, Alfredo; van de Geijn, Robert A.;
in Laginha, J.M.; Palma, M.; Amestoy, P.; Daydé, M.J; Mattoso, M; Correia, J.: High Performance Computing for Computational Science - VECPAR 2008, 8th International Conference  :  Lecture Notes in Computer Science Vol. 5336;
Springer; 2008. ISBN/ISSN: 978-3-540-92858-4
@Article{RS_Jimack__FEM_derivs_wrt_nodepos_2008,
author = {R. Schneider and P.K. Jimack},
title = {On the evaluation of finite element sensitivities to nodal coordinates},
journal = {ETNA},
year = {2008},
volume = {32,
Special Volume with Selected Papers from the 20th Chemnitz Finite Element Symposium},
pages = {134--144},
note = {\url{http://etna.mcs.kent.edu/vol.32.2008},
Published online 04/03/2009},
ISSN= {1068-9613} }
On the evaluation of finite element sensitivities to nodal coordinates;
R. Schneider; P.K. Jimack;
Electronic Transactions on Numerical Analysis (ETNA)  :  Vol. 32, Special Volume with Selected Papers from the 20th Chemnitz Finite Element Symposium, pp. 134-144;
2008. ISBN/ISSN: 1068-9613
Published online 04/03/2009.
262Solution of band linear systems on multi-thread architectures and applications in control
Remón, Alfredo;
2008.
Advisors: Enrique S. Quintana Ortí and Gregorio Quintana-Ortí.
273Parallel Solution of Band Linear Systems in Model Reduction;
Remón, Alfredo; Quintana-Ortí, Enrique S; Quintana-Ortí, Gregorio;
in Wyrzykowski, Roman; Dongarra, Jack; Karczewski, Konrad; Wasniewski, Jerzy: Parallel Processing and Applied Mathematics, 7th International Conference  :  Lecture Notes in Computer Science Vol. 4967;
Springer; 2008. ISBN/ISSN: 978-3-540-68105-2
274The Implementation of BLAS for Band Matrices;
Remón, Alfredo; Quintana-Ortí, Enrique S; Quintana-Ortí, Gregorio;
in Wyrzykowski, Roman; Dongarra, Jack; Karczewski, Konrad; Wasniewski, Jerzy: Parallel Processing and Applied Mathematics, 7th International Conference  :  Lecture Notes in Computer Science Vol. 4967;
Springer; 2008. ISBN/ISSN: 978-3-540-68105-2
@InProceedings{RS_Rothaug_Benner_2008,
author = {R. Schneider and T. Rothaug and P. Benner},
title = {Flow stabilisation by Dirichlet boundary control},
booktitle = {PAMM},
pages = {10961--10962},
year = {2008},
volume = {8},
number = {1},
series = {PAMM},
organization = {GAMM},
publisher = {Whiley-VCH} }
Flow stabilisation by Dirichlet boundary control;
Rene Schneider, Tobias Rothaug, Peter Benner;
PAMM  :  Vol. 8, pp. 10961-10962;
WILEY-VCH; 2008.
DOI: 10.1002/pamm.200810961.
@MASTERSTHESIS{Schn08,
author = {A. Schneider},
title = {{M}atrix decomposition based approaches for model order reduction of linear systems with a large number of terminals},
school = {Chemnitz University of Technology,
Department of Mathematics,
Germany},
year = {2008},
owner = {schnea},
timestamp = {2008.03.03} }
Matrix decomposition based approaches for model order reduction of linear systems with a large number of terminals;
Schneider, André;
Chemnitz University of Technology; 2008.
@inproceedings{BauB08a,
author = {U. Baur and P. Benner},
title = {Efficient Solution of Algebraic {B}ernoulli Equations Using $\mathcal{H}$-Matrix Arithmetic},
editor = {K. Kunisch and G. Of and O. Steinbach},
booktitle = {Proceedings of Enumath 2007 the 7th European Conference on Numerical Mathematics and Advanced Applications},
pages = {127--134},
address = {Graz,
Austria,
September 2007},
publisher = {Springer-Verlag,
Berlin/Heidelberg,
Germany},
year = {2008},
note = {ISBN: 978-3-540-69776-3} }
Efficient Solution of Algebraic Bernoulli Equations Using H-Matrix Arithmetic
Ulrike Baur; Peter Benner;
in K. Kunisch and G. Of and O. Steinbach: Proc. of ENUMATH 2007 the 7th European Conference on Numerical Mathematics and Advanced Applications  :  
Springer-Verlag; 2008. ISBN/ISSN: 978-3-540-69776-3

2007

@article{BenS07,
author = {P. Benner and J. Saak},
title = {Application of LQR Techniques to the Adaptive Control of Quasilinear Parabolic PDEs},
year = {2007},
month = {december},
journal = {Proc. Appl. Math. Mech.},
volume = {7},
number = {1},
note = {DOI: 10.1002/pamm.200700240} }
Application of LQR Techniques to the Adaptive Control of Quasilinear Parabolic PDEs;
Benner, Peter; Saak, Jens;
Proceedings in Applied Mathematics and Mechanics  :  Vol. 7 Issue 1;
Wiley InterScience; 2007.
DOI: 10.1002/pamm.200700240.
96Numerical Solution of Differential Riccati Equations Arising in Optimal Control for Parabolic PDEs
Hermann Mena; Peter Benner;
2007.
@inproceedings{SorA05,
author = {Lihong Feng and Peter Benner},
title = {A Note on Projection Techniques for Model Order Reduction of Bilinear Systems},
editor = {Simos,
Theodore E.; Psihoyios,
George; Tsitouras,
Ch. },
booktitle = { Analysis and Applied Mathematics,
International Conference of Numerical Analysis and Applied Mathematics },
series = {},
volume = {936},
pages = {208-211},
publisher = {Springer-Verlag,
AIP Conference Proceedings},
year = {2007} }
A Note on Projection Techniques for Model Order Reduction of Bilinear Systems;
Lihong Feng; Peter Benner;
Numerical Analysis and Applied Mathematics, International Conference of Numerical Analysis and Applied Mathematics   :  Vol. 936;
208-211; 2007. ISBN/ISSN: 978-0-7354-0447-2
97A Robust Algorithm for Parametric Model Order Reduction;
Lihong Feng; Peter Benner;
Procceeding of Applied Mathematics and Mechanics  :  1021501-1021502;
2007. ISBN/ISSN: ISSN 1617-7061
@article{FengB07,
author = {Lihong Feng and Peter Benner},
title = {Parametrische Modellreduktion durch impliziten Momentenabgleich},
journal = In B. Lohmann and A. Kugi (eds.),
Tagungsband GMA-FA 1.30 "Modellbildung,
Identifizierung und Simulation in der Automatisierungstechnik",
Workshop in Anif,
26.-28.9.2007,
volume = {},
number = {},
year = {2007},
pages = {34-47} }
Parametrische Modellreduktion durch impliziten Momentenabgleich;
Lihong Feng; Peter Benner;
in Workshop in Anif: B. Lohmann and A. Kugi (eds.), Tagungsband GMA-FA 1.30 "Modellbildung, Identifizierung und Simulation in der Automatisierungstechnik  :  
34-47; 2007. ISBN/ISSN: 978-3-9502451-1
@TECHNOREPORT{HP07,
author{Mohammad Sahadet-Hossain,
Peter Benner},
title={Model Reduction for Time-Varying Descriptor Systems Using Krylov-Subspaces Projection Techniques },
institution={Chemnitz University of Technology},
year={2007}}
Model Reduction for Time-Varying Descriptor Systems Using Krylov-Subspaces Projection Techniques ;
Mohammad-Sahadet Hossain, P. Benner;
Chemnitz University of Technology  :  
2007.
@techreport{LosMPR07,
author = {P. Losse and V. Mehrmann and L. Poppe and T. Reis},
title = {Robust Control of Descriptor Systems},
institution= {Institut f{\"u}r Mathematik,
TU Berlin},
type = {Preprint},
number = {2007/47},
address = {D-10623 Berlin,
FRG},
year = {2007},
note ={{ t url: http://www.math.tu-berlin.de/preprints/}} }
Robust Control of Descriptor Systems;
P. Losse, V. Mehrmann, L. Poppe, T. Reis;
Preprint 2007/47 Fak. für Mathematik TU Berlin; 2007.
100Solving Large-Scale Quadratic Eigenvalue Problems with Hamiltonian Eigenstructure using a Structure-Preserving Krylov Subspace Method
Peter Benner, Heike Faßbender; Martin Stoll;
Numerical Analysis Group Research Report, Oxford University  :  NA-07/03;
2007.
271Cholesky Factorization of Band Matrices Using Multithreaded BLAS;
Remón, Alfredo; Quintana-Ortí, Enrique S; Quintana-Ortí, Gregorio;
in Kagström, Bo; Elmroth, Erick; Dongarra, Jack; Wasniewski, Jerzy: Applied Parallel Computing. State of the Art in Scientific Computing, 8th International Workshop  :  Lecture Notes in Computer Science Vol. 4699;
Springer; 2007. ISBN/ISSN: 978-3-540-75754-2
59Evaluation of the Linear Matrix Equation Solvers in SLICOT;
Slowik, Martin; Benner, Peter; Sima, Vasile;
Journal of of Numerical Analysis, Industrial and Applied Mathematics  :  Vol. 2;
2007. ISBN/ISSN: 1790-8140
Extendend version appeared as SLICOT Working Note 2004-1, August 2004.
99Gramian-Based Model Reduction for Data-Sparse Systems
Ulrike Baur; Peter Benner;
Chemnitz Scientific Computing Preprints  :  07-01;
2007.

2006

78Parallel Solution of Large-Scale and Sparse Generalized Algebraic Riccati Equations;
Badía, José M., Benner, Peter, Mayo Rafael, Quintana-Ortí Enrique S.;
in W. E. Nagel, W. V. Walter, and W. Lehner: Euro-Par 2006 Parallel Processing: 12th International Euro-Par Conference  :  Lecture Notes in Computer Science, Vol. 4128, pp. 710-719;
Springer-Verlag, Berlin, Heidelberg, New York; 2006. ISBN/ISSN: 978-3-540-37783-2
DOI: 10.1007/11823285_74.
53Solution of Discrete-Time Riccati Equations via Structure-Preserving Doubling Algorithms on a Cluster of SMPs;
Barrachina, Sergio; Benner, Peter; Quintana-Ortí, Enrique S.;
submitted for publication; 2006.
55Solving Large-Scale Generalized Algebraic Bernoulli Equations via the Matrix Sign Function;
Barrachina, Sergio; Benner, Peter; Quintana-Ortí, Enrique S.;
submitted for publication; 2006.
@article{BauB06,
author = {U. Baur and P. Benner},
title = {Factorized solution of {L}yapunov equations based on hierarchical matrix arithmetic},
journal = {Computing},
volume = {78},
number = {3},
pages = {211--234},
month = nov,
year = {2006},
ISSN = {0010-485X} }
Factorized Solution of Lyapunov Equations Based on Hierarchical Matrix Arithmetic;
Baur,Ulrike; Benner, Peter;
Computing  :  Vol. 78, pp. 211-234;
2006. ISBN/ISSN: 0010-485X
DOI: 10.1007/s00607-006-0178-y.
77A MATLAB Repository for Model Reduction Based on Spectral Projection;
Benner, Peter;
Proceedings of the 2006 IEEE Conference on Computer-Aided Control Systems Design, Munich, Germany, October 4-6  :  pp. 19-24;
IEEE; 2006. ISBN/ISSN: 0-7803-9797-5
The corresponding software is (partially) available here.
12A Numerical Algorithm for Robust Stabilization of Systems with Sector-Bounded Nonlinearity;
Benner, Peter;
Preprints of the 5th IFAC Symposium on Robust Control Design  :  
ROCOND06, Toulouse, France, July 5-7; 2006.
73Control Theory;
Benner, Peter;
in Leslie Hogben: Handbook of Linear Algeba  :  Chapter 57;
Chapman & Hall/CRC; 2006. ISBN/ISSN: 1584885106
@incollection{BenG06b,
author = {P. Benner and S. G\"orner},
title = {{MPC} f\"ur nichtlineare partielle {D}ifferentialgleichungen parabolischen {T}yps},
booktitle = {Tagungsband GMA-FA 1.40 \"Theoretische Verfahren der Regelungstheorie\" und GAMM-FA \"Dynamik und Regelungstheorie\",
Workshops am Bostalsee,
24.--27.9.2006},
pages = {91--101},
year = {2006},
isbn = {978-3-9810664-2-5} }
MPC für nichtlineare partielle Differentialgleichungen parabolischen Typs;
Benner, Peter; Görner, Sabine;
Tagungsband GMA-FA 1.40 \"Theoretische Verfahren der Regelungstheorie\", GAMM-FA \"Dynamik und Regelungstheorie\", Workshops am Bostalsee, 24.-27.9.2006  :  
2006. ISBN/ISSN: 978-3-9810664-2-5
@article{BenS06,
author = {P. Benner and V. Sokolov},
title = {Partial Realization of Descriptor Systems},
journal = SCL,
volume = {55},
number = {11},
pages = {929--938},
year = {2006},
annote = {See also: Preprint 2005-05,
Fakult"at f"ur Mathematik,
TU Chem-nitz,
url{http://www.mathematik.tu-chemnitz.de/preprint/2005/PREPRINT_05.html}} }
Partial Realization of Descriptor Systems;
Benner, Peter; Sokolov, Viatcheslav I.;
Systems & Control Letters  :  Vol. 55, pp. 929-938;
Fak. f. Mathematik, TU Chemnitz; 2006. ISBN/ISSN: 0167-6911
17An Arithmetic for Matrix Pencils: Theory and New Algorithms;
Benner, Peter; Byers, Ralph;
Numerische Mathematik  :  Volume 103, Number 4 / June, 2006, pp. 539-573;
Original available from SpringerLink, DOI: 10.1007/s00211-006-0001-x; 2006. ISBN/ISSN: 0029-599X
Preprint available at http://www.math.tu-berlin.de/preprints/abstracts/Report-12-2004.rdf.html.
52A Robust Numerical Method for the $gamma$-Iteration in $H_infty$ Control;
Benner, Peter; Byers, Ralph; Mehrmann, Volker; Xu, Hongguo;
submitted for publication; 2006.
57Stabilizing Large-Scale Generalized Systems on Parallel Computers Using Multithreading and Message-Passing;
Benner, Peter; Castillo, Maribel; Mayo, Rafael; Quintana-Ortí, Enrique S.; Quintana-Ortí, Gregorio;
2006.
To appear in Concurrency and Computation: Practice and Experience.
62Numerische Methoden zur passivitätserhaltenden Modellreduktion (Numerical Methods for Passivity Preserving Model Reduction);
Benner, Peter; Faßbender, Heike;
at-Automatisierungstechnik  :  Vol. 54, No. 4, pp. 153-160.;
2006. ISBN/ISSN: 0178-2312
DOI: 10.1524/auto.2006.54.4.153.
76Passivity Preserving Model Reduction via a Structured Lanczos Method;
Benner, Peter; Faßbender, Heike;
Proceedings of the 2006 IEEE Conference on Computer-Aided Control Systems Design, Munich, Germany, October 4-6  :  pp. 8-13;
IEEE; 2006. ISBN/ISSN: 0-7803-9797-5
51On the Solution of the Rational Matrix Equation X = Q + LX^{-1}L^T;
Benner, Peter; Faßbender, Heike;;
Chemnitz Scientific Computing Preprints 06-02, TU Chemnitz; 2006. ISBN/ISSN: 1864-0087
60Preface Special Issue on "Order reduction of large-scale systems";
Benner, Peter; Freund, Roland W.; Sorensen,Danny C.; Varga, Andras;
Linear Algebra and Its Applications  :  Vol. 415, Issues 2-3, pp. 231-234;
2006. ISBN/ISSN: 0024-3795
@article{BenG06,
author = {P. Benner and S. G\"orner},
title = {{MPC} for the Burgers Equation Based on an {LGQ} Design},
journal = {Proc. Appl. Math. Mech.},
year = {2006},
volume = {6},
number = {1},
pages = {781--782} }
MPC for the Burgers Equation Based on an LGQ Design;
Benner, Peter; Görner, Sabine;
Proceedings in Applied Mathematics and Mechanics  :  Vol. 6, No. 1, pp. 781-782;
2006. ISBN/ISSN: 1617-7061
@incollection{BenGS05,
author = {P. Benner and S. G{\"o}rner and J. Saak},
title = {Numerical solution of optimal control problems for parabolic systems},
booktitle = {Parallel Algorithms and Cluster Computing. Implementations,
Algorithms,
and Applications},
series = {Lecture Notes in Computational Science and Engineering},
publisher = {Springer-Verlag,
Berlin/Heidelberg,
Germany},
year = {2006},
pages = {151-169},
editor = {K.H. Hoffmann and A. Meyer} }
Numerical Solution of Optimal Control Problems for Parabolic Systems;
Benner, Peter; Görner, Sabine; Saak, Jens;
in Hoffmann, K.H. and Meyer, A.: Parallel Algorithms and Cluster Computing. Implementations, Algorithms, and Applications  :  vol. 52 of Lecture Notes in Computational Science and Engineering;
Springer Berlin Heidelberg; 2006. ISBN/ISSN: 3-540-33539-0
pp. 151-169.
65 Algorithm 854: Fortran 77 Subroutines for Computing the Eigenvalues of Hamiltonian Matrices;
Benner, Peter; Kreßner, Daniel;
ACM Transactions on Mathematical Software  :  Vol. 32, No. 2, pp. 352-373;
2006. ISBN/ISSN: 0098-3500
For the corresponding software visit the HAPACK homepage.
67Balancing Sparse Hamiltonian Eigenproblems;
Benner, Peter; Kreßner, Daniel;
Linear Algebra and Its Applications  :  Vol. 415, pp. 3-19;
2006. ISBN/ISSN: 0024-3795
Original available from ScienceDirect,
DOI: 10.1016/j.laa.2004.09.023.
48The SLICOT Toolboxes - a Survey;
Benner, Peter; Kressner, Daniel;; Sima, Vasile;
submitted for publication; 2006.
@inproceedings{BadBMQ05,
author = {R.M. Bad\'{i}a and P. Benner and R. Mayo and E.S. Quintana-Ort\'{i}},
title = {Parallel Algorithms for Balanced Truncation Model Reduction of Sparse Systems},
editor = {},
booktitle = {Proc. of PARA04 -- Workshop on State-of-the-Art in Scientific Computing},
series = {Lecture Notes in Computer Science},
number = {},
publisher = {Springer-Verlag,
Berlin,
Heidelberg,
New York},
year = {to appear},
pages = {},
annote = {[3-540-29067-4]} }
Parallel Algorithms for Balanced Truncation Model Reduction of Sparse Systems;
Benner, Peter; Quintana-Ortí, Enrique S.; Mayo, Rafael; Badía, José Manuel;
in J. Dongarra, K. Madsen, J. Wasniewski: Applied Parallel Computing: 7th International Conference, PARA 2004, Lyngby, Denmark, June 20-23, 2004. Revised Selected Papers  :  Lecture Notes in Computer Science, Vol. 3732, pp. 267-275;
Springer-Verlag; 2006. ISBN/ISSN: 3-540-29067-4
Original available from SpringerLink, DOI: 10.1007/11558958_32.
66Solving Stable Sylvester Equations via Rational Iterative Schemes;
Benner, Peter; Quintana-Ortí, Enrique S.; Quintana-Ortí, Gregorio;
Journal of Scientific Computing  :  Vol. 28, No. 1, pp. 51-83;
2006. ISBN/ISSN: 0885-7474
Note: in Algorithm 3, Step 9 must read: U := U-CB; in Example 1, the entries of the solution matrix X need to be negated..
@techreport{BenQQ05b,
author = {P. Benner and E.S. Quintana-Ort\\'{i} and G. Quintana-Ort\\'{i}},
title = {Solving Linear-Quadratic Optimal Control Problems on Parallel Computers},
institution={Sonderforschungsbereich 393 {\it Parallele Numerische Simulation f�r Physik und Kontinuumsmechanik},
TU Chem-nitz},
year = {2005},
number = {SFB393/05-19},
address = {09107 Chem-nitz,
FRG},
note = {Available from \texttt{http://www.tu-chemnitz.de/sfb393}.} }
Solving Linear-Quadratic Optimal Control Problems on Parallel Computers;
Benner, Peter; Quintana-Ortí, Enrique S.; Quintana-Ortí,Gregorio;
Preprint SFB393/05-19;
Sonderforschungsbereich 393 - Numerische Simulation auf massiv parallelen Rechnern, TU Chemnitz,; 2006. ISBN/ISSN: 1619-7178
@techreport{LosM06a,
author = {P. Losse and V. Mehrmann},
title = {Algebraic characterization of controllability and observability for second order descriptor systems},
institution= {Institut f{\"u}r Mathematik,
TU Berlin},
type = {Preprint},
number = {2006/21},
address = {D-10623 Berlin,
FRG},
year = {2006},
note ={{ t url: http://www.math.tu-berlin.de/preprints/}} }
Algebraic characterization of controllability and observability for second order descriptor systems;
Losse, Philip; Mehrmann, Volker;
Preprint 2006/21 Fak. für Mathematik TU Berlin; 2006.
47Balanced Truncation Model Reduction of Large and Sparse Generalized Linear Systems;
M. Badía, José; Benner, Peter; Mayo, Rafael; Quintana-Ortí, Enrique S.; Quintana-Ortí, Gregorio; Remón, Alfredo;
Chemnitz Scientific Computing Preprints 06-04, TU Chemnitz; 2006. ISBN/ISSN: 1864-0087
@incollection{Pes05,
author = {M. Pester},
title = {Some Aspects of Parallel Postprocessing for Numerical Simulation},
booktitle = {Parallel Algorithms and Cluster Computing. Implementations,
Algorithms,
and Applications},
series = {Lecture Notes in Computational Science and Engineering},
publisher = {Springer-Verlag,
Berlin/Heidelberg,
Germany},
year = {},
editor = {K.H. Hoffmann and A. Meyer},
note = {to appear} }
Some Aspects of Parallel Postprocessing for Numerical Simulation;
Pester, Matthias;
in Hoffmann, K.H. and Meyer, A.: Parallel Algorithms and Cluster Computing. Implementations, Algorithms, and Applications  :  Lecture Notes in Computational Science and Engineering;
Springer Berlin Heidelberg; 2006. ISBN/ISSN: 3-540-33539-0
63Numerical Linear Algebra for Model Reduction in Control and Simulation
Peter Benner;
GAMM Mitteilungen  :  Vol. 29, No. 2, pp. 275-296;
2006. ISBN/ISSN: 0936-7195
Siehe auch Preprint 18/2005, Fakultät für Mathematik, TU Chemnitz..
@InProceedings{RS_BAIL2006,
author = {R. Schneider and P. Jimack},
title = {Anisotropic mesh adaption based on a posteriori estimates and optimisation of node positions},
booktitle = {BAIL 2006,
Int. Conference on Boundary and Interior Layers},
year = {2006},
editor = {G. Lube,
G. Rapin},
address = {University of G\"ottingen,
},
month = {July},
note = {ISBN: 3-00-019600-5,
\url{http://www.num.math.uni-goettingen.de/bail/}} }
Anisotropic mesh adaption based on a posteriori estimates and optimisation of node positions;
R. Schneider, P. Jimack;
in G. Lube, G. Rapin: BAIL 2006, Proceedings of Int. Conference on Boundary and Interior Layers  :  
University of Göttingen; 2006. ISBN/ISSN: 3-00-019600-5
272Parallel LU Factorization of Band Matrices on SMP Systems;
Remón, Alfredo; Quintana-Ortí, Enrique S; Quintana-Ortí, Gregorio;
in Gerndt, Michael; Kranzlmüller, Dieter: High Performance Computing and Communications, Second International Conference  :  Lecture Notes in Computer Science Vol. 4208;
Springer; 2006. ISBN/ISSN: 3-540-39368-4
80A SLICOT Implementation of a Modified Newtons Method for Algebraic Riccati Equations;
Vasile Sima; Peter Benner;
Proceedings of the 14th Mediterranean Conference on Control and Automation MED06, June 28-30  :  
Ancona - Universita Politecnica delle Marche, Italy (CD-ROM) (6 pages); 2006. ISBN/ISSN: 0-9786720-0-3

2005

@INPROCEEDINGS{BBMQQS05,
author = {Badia,
J. M. and Benner,
P. and Mayo,
R. and Quintana-Ort�,
E. and Quintana-Ort�,
G. and Saak,
J.},
title = {Parallel Order Reduction via Balanced Truncation for Optimal Cooling of Steel Profiles},
booktitle = {Euro-Par 2005 Parallel Processing: 11th International Euro-Par Conference,
Lisbon,
Portugal,
August 30 - September 2},
year = {2005},
editor = {J.C. Cunha and P.D. Mdeiros},
volume = {3648},
series = {Lecture Notes in Computer Science},
pages = {857-866},
publisher = {Springer-Verlag} }
Parallel Order Reduction via Balanced Truncation for Optimal Cooling of Steel Profiles;
Badia, Jose M.; Benner, Peter; Mayo, Rafael; Quintana-Ortí, Enrique; Quintana-Ortí, Gregorio; Saak, Jens;
in J.C. Cunha and P.D. Mdeiros (eds.): Euro-Par 2005 Parallel Processing: 11th International Euro-Par Conference, Lisbon, Portugal, August 30 - September 2  :  Lecture Notes in Computer Science, Vol. 3648, pp. 857-866;
Springer-Verlag; 2005.
see also SfB393 Preprint 05-02.
42Solving Large-Scale Generalized Algebraic Bernoulli Equations via the Matrix Sign Function;
Barrachina, Sergio; Benner, Peter; Quintana-Ortí, Enrique S.;
Preprintreihe des Chemnitzer SFB 393  :  Preprint 15/2005;
2005.
13Numerical Linear Algebra for Model Reduction in Control and Simulation;
Benner, Peter;
TU Chemnitz; 2005.
81Passivitätserhaltende Modellreduktion mit Balancierungstechniken
Benner, Peter;
Tagungsband GMA-FA 1.30 \"Modellbildung, Identifikation und Simulation in der Automatisierungstechnik\", Workshop am Bostalsee 28.-30.9.  :  pp. 152-168;
2005. ISBN/ISSN: 3-9810664-1-3
68Partial Stabilization of Large-Scale Discrete-Time Linear Control Systems;
Benner, Peter; Castillo, Maribel; Quintana-Ortí, Enrique S.;
Journal of Computational Science and Engineering  :  Vol. 1, No. 1, pp. 15-21;
2005.
20Parallel Solution of Large-Scale Algebraic Bernoulli Equations with the Matrix Sign Function Method;
Benner, Peter; Barrachina, Sergio; Quintana-Ortí, Enrique S.;
International Journal of Computational Science and Engineering (IJCSE); 2005.
@inproceedings{BarBQ05b,
author = {S. Barrachina and P. Benner and E. Quintana-Ort{i}},
title = {Parallel Algorithms for Balanced Truncation of Large-Scale Unstable Systems},
booktitle = {Proc. 44rd IEEE Conf. Decision Contr. and European Contr. Conf. ECC2005},
year = {2004},
pages = {2248--2253},
publisher = {Omnipress,
Madison,
WI},
note = {CD Rom},
isbn = {0-7803-9568-9} }
Parallel Algorithms for Balanced Truncation of Large-Scale Unstable Systems;
Benner, Peter; Barrachina, Sergio; Quintana-Ortí, Enrique S.; Quintana-Ortí, Gregorio;
Proceedings of 44th IEEE Conference on Decision and European Control Conference  :  pp. 2248-2253;
ECC; 2005. ISBN/ISSN: 0-7803-9568-9
@techreport{BauB05,
author = {U. Baur and P. Benner},
title = {Factorized solution of {L}yapunov equations based on hierarchical matrix arithmetic},
type = {Preprint},
number = {#161},
institution={MATHEON,
DFG Research Center "Mathematics for Key Technologies"},
address = {Berlin,
FRG,
exttt{http://www.math.tu-berlin.de/DFG-Forschungszentrum}},
month = oct,
year = {2005},
note = {To appear in Computing} }
Factorized Solution of Lyapunov Equations Based on Hierarchical Matrix Arithmetic;
Benner, Peter; Baur, Ulrike;
TU Chemnitz; 2005.
24Partial Stabilization of Large-Scale Discrete-Time Linear Control Systems;
Benner, Peter; Castillo, Maribel; Quintana-Ortí, Enrique S.;
TU Chemnitz; 2005.
31A New Test for Passivity of Descriptor Systems;
Benner, Peter; Chu Delin;
Oberwolfach Reports; 2005.
21Algorithm 8xx: Fortran 77 Subroutines for Computing the Eigenvalues of Hamiltonian Matrices;
Benner, Peter; Kreßner, Daniel;
ACM Transactions on Mathematical Software.; 2005.
30New Hamiltonian Eigensolvers with Applications in Control;
Benner, Peter; Kreßner, Daniel;
Proceedings of 44th IEEE Conference on Decision and European Control Conference  :  pp. 6551-6556;
ECC; 2005. ISBN/ISSN: 0-7803-9568-9
See also: Preprint #240, DFG Research Center MATHEON, Berlin, March 2005..
@incollection{BenKM05,
author = {P. Benner and D. Kress ner and V. Mehrmann},
title = {Skew-Hamiltonian and Hamiltonian Eigenvalue Problems: Theory,
Algorithms and Applications},
editor = {Z. Drmav{c} and M. Marusic and Z. Tutek},
booktitle = {Proc. Conf. Appl Math. Scientific Comp.},
pages = {3--39},
publisher = Springer,
address = {Dordrecht},
year = {2005},
isbn = {1-4020-3196-3} }
Skew-Hamiltonian and Hamiltonian Eigenvalue Problems: Theory, Algorithms and Applications;
Benner, Peter; Kreßner, Daniel; Mehrmann, Volker;
in Drmac, Z.; Marusic, M.; Tutek, Z.:  Proceedings of the Conference on Applied Mathematics and Scientific Computing  :  pp. 3-39;
Springer Verlag; 2005.
11Dimension Reduction of Large-Scale Systems;
Benner, Peter; Mehrmann, Volker; Sorensen, D.C.;
Lecture Notes in Computational Science and Engineering, Vol. 45;
Springer-Verlag, Berlin/Heidelberg; 2005.
26Model Reduction Based on Spectral Projection Methods;
Benner, Peter; Quintana-Ortí, Enrique S.;
in P. Benner, V. Mehrmann, and D.C. Sorensen: Dimension Reduction of Large-Scale Systems  :  Ch. 1, Lecture Notes in Computational Science and Engineering;
Springer-Verlag, Berlin/Heidelberg; 2005.
@article{BenQQ05,
author = {P. Benner and E.S. Quintana-Ort\'{i} and G. Quintana-Ort\'{i}},
title = {Solving Stable Sylvester Equations via Rational Iterative Schemes},
journal = {J. Sci. Comp.},
year = {2005 (electronic)},
}
Solving Stable Sylvester Equations via Rational Iterative Schemes;
Benner, Peter; Quintana-Ortí, Enrique S., Quintana-Ortí, Gregorio;
Journal of Scientific Computing  :  
Original available from SpringerLink.; 2005.
43Solving Linear-Quadratic Optimal Control Problems on Parallel Computers;
Benner, Peter; Quintana-Ortí, Enrique S.; Quintana-Ortí, Gregorio;
Preprintreihe des Chemnitzer SFB 393  :  Preprint 19 / 2005;
2005.
@inproceedings{BenS05,
author = {P. Benner and J. Saak},
title = {A Semi-Discretized Heat Transfer Model for Optimal Cooling of Steel Profiles},
editor = {P. Benner and V. Mehrmann and D. Sorensen},
booktitle = {Dimension Reduction of Large-Scale Systems},
series = {Lecture Notes in Computational Sience and Engineering},
publisher = {Springer-Verlag,
Berlin/Heidelberg,
Germany},
year = {2005} }
A Semi-Discretized Heat Transfer Model for Optimal Cooling of Steel Profiles;
Benner, Peter; Saak, Jens;
in Benner, P.; Mehrmann, V. and Sorensen, D. C.: Dimension Reduction of Large-Scale Systems  :  Ch. 19, Vol. 45 of LNCSE;
Springer Berlin Heidelberg; 2005. ISBN/ISSN: 3-540-24545-6
@techreport{BenS05b,
author = {P. Benner and J. Saak},
title = {Linear-Quadratic Regulator Design for Optimal Cooling of Steel Profiles},
institution={Sonderforschungsbereich 393 {it Parallele Numerische Simulation f"ur Physik und Kontinuumsmechanik},
TU Chem-nitz},
year = {2005},
number = {SFB393/05-05},
address = {D-09107 Chem-nitz (Germany)},
note = {Available from url{http://www.tu-chemnitz.de/sfb393/sfb05pr.html}},
owner = {saak},
url = {http://www.tu-chemnitz.de/sfb393/sfb05pr.html},
}
Linear-Quadratic Regulator Design for Optimal Cooling of Steel Profiles;
Benner, Peter; Saak, Jens;
Preprint SFB393/05-05  :  Sonderforschungsbereich 393 - Numerische Simulation auf massiv parallelen Rechnern;
TU Chemnitz; 2005. ISBN/ISSN: 1619-7178
1Partial Realization of Descriptor Systems;
Benner, Peter; Sokolov, Viatcheslav;
Preprint 2005-5, Fak. f. Mathematik, TU Chemnitz; 2005.
@ARTICLE{LieBK05,
author = {W. Liebermeister and U. Baur and E. Klipp},
title = {Biochemical network models simplified by balanced truncation},
journal = {FEBS Journal (formerly known as European Journal of Biochemistry)},
year = {2005},
volume = {272},
pages = {4034--4043},
month = {Aug},
issue = {16} }
Biochemical network models simplified by balanced truncation
Liebermeister, Wolf; Baur, Ulrike; Klipp, Edda;
FEBS Journal (formerly known as European Journal of Biochemistry)  :  Vol. 272 issue 16;
2005.

2004

37Factorized Solution of Sylvester Equations with Applications in Control;
Benner, Peter;
in B. De Moor, B. Motmans, J. Willems, P. Van Dooren, V. Blondel: Proceedings Sixteenth International Symposium on: Mathematical Theory of Network and Systems;
MTNS, Leuven, Belgium; 2004.
@article{Ben04,
author = {P. Benner},
title = {Solving Large-Scale Control Problems},
journal = {IEEE Control Systems Magazine},
year = {2004},
volume = {14},
number = {1},
pages = {44--59} }
Solving Large-Scale Control Problems;
Benner, Peter;;
IEEE Control Systems Magazine  :  Vol. 24, No. 1, pp. 44-59;
2004.
@article{BauB04,
author = {U. Baur and P. Benner},
title = {Factorized solution of the {L}yapunov equation by using the hierarchical matrix arithmetic},
journal = {Proc. Appl. Math. Mech.},
volume = {4},
number = {1},
pages = {658--659},
year = {2004} }
Factorized solution of the Lyapunov equation by using the hierarchical matrix arithmetic;
Benner, Peter; Baur, Ulrike;
Vol. 4, No. 1, pp. 658-659;
Proceedings in Applied Mathematics and Mechanics; 2004.
34A Robust Numerical Method for Optimal H_inf Control;
Benner, Peter; Byers, Ralph; Mehrmann, Volker; Xu, Hongguo;
Proceedings 43rd IEEE Conference on Decision and Control CDC2004  :  pp. 424-425;
Omnipress, Madison, WI; 2004. ISBN/ISSN: 0-7803-8683-3
@techreport{BenBMX04,
author = {P. Benner and R. Byers and V. Mehrmann and H. Xu},
title = {Robust numerical methods for robust control},
institution={Institut f\"ur Mathematik,
TU Berlin,
D-10623 Berlin,
FRG},
address = {{\tt http://www.math.tu-berlin.de/preprints}},
type = {Preprint},
number = {2004-06},
year = {2004},
annote = {44pp.} }
Robust Numerical Methods for Robust Control;
Benner, Peter; Byers, Ralph; Mehrmann, Volker; Xu, Hongguo;
Preprint 06-2004;
Institut für Mathematik, TU Berlin; 2004.
@inproceedings{BenCQQ04,
author = {P. Benner and M. Castillo and E.S. Quintana-Ort{i} and G. Quintana-Ort{i}},
title = {Parallel Model Reduction of Large-Scale Unstable Systems},
booktitle = {Parallel Computing: Software Technology,
Algorithms,
Architectures & Applications. Proc. Intl. Conf. ParCo2003,
Dresden,
Germany},
series = {Advances in Parallel Computing},
volume = {13},
editor = {G.R. Joubert and W.E. Nagel and F.J. Peters and W.V Walter},
publisher = {Elsevier B.V. (North-Holland)},
pages = {251--258},
year = {2004},
isbn = {0-444-51689-1} }
Parallel Model Reduction of Large-Scale Unstable Systems;
Benner, Peter; Castillo, Maribel; Quintana-Ortí, Enrique S.; Quintana-Ortí, Gregorio;
in G.R. Joubert, W.E. Nagel, F.J. Peters, W.V Walter: Parallel computing: Software Technology, Algorithms, Architectures & Applications, Advances in Parallel Computing, Vol. 13, pp. 251-258;
Elsevier B.V (North-Holland); 2004. ISBN/ISSN: 0-444-51689-1
38BDF Methods for Large-Scale Differential Riccati Equations;
Benner, Peter; Hermann, Mena;
in B. De Moor, B. Motmans, J. Willems, P. Van Dooren, V. Blondel: Proceedings Sixteenth International Symposium on: Mathematical Theory of Network and Systems;
MTNS, Leuven, Belgium; 2004.
@incollection{BenMQQ04,
author = {P. Benner and R. Mayo and E.S. Quintana and G. Quintana-Ort\'{i}},
title = {A Model Reduction Web Environment for Very Large Linear Dynamical Systems},
booktitle = {Parallel and Distributed Scientific and Engineering Computing: Practice and Experience},
publisher = {NOVA Science Publishers,
Hauppauge,
NY},
series = {Advances in Computation: Theory and Practice},
volume = {15},
editor = {V.Y. Pan and L.T. Yang },
pages = {23--33},
year = {2004},
annote = {ISBN: 1-59033-956-8} }
A Model Reduction Web Environment for Very Large Linear Dynamical Systems;
Benner, Peter; Mayo, Rafael; Quintana-Ortí, Enrique S.; Quintana-Ortí, Gregorio;
in Pan, V.Y.; Yang, L.T.:  Parallel and Distributed Scientific and Engineering Computing: Practice and Experience  :  Advances in Computation: Theory and Practice, Vol. 15, pp. 23-33;
NOVA Science Publishers, Hauppauge, NY; 2004.
23Solving Stable Sylvester Equations via Rational Iterative Schemes;
Benner, Peter; Quintana-Ortí, Enrique S.; Quintana-Ortí, Gregorio;
TU Chemnitz; 2004.
35Computing Optimal Hankel Norm Approximations of Large-Scale Systems;
Benner, Peter; Quintana-Ortí, Enrique S.; Quintana-Ortí, Gregorio;
Proceedings of 43rd IEEE Conference on Decision and Control CDC2004  :  pp. 3078-3083;
Omnipress, Madison, WI; 2004. ISBN/ISSN: ISBN 0-7803-8683-3
The retrievable version is Preprint #116, DFG Research Center "Mathematics for Key Technologies", Berlin, April, 2004.
36Computing Passive Reduced-Order Models for Circuit Simulation;
Benner, Peter; Quintana-Ortí, Enrique S.; Quintana-Ortí, Gregorio;
Proceedings International Conference on Parallel Computing in Electrical Engeneering PARELEC 2004  :  pp. 146-151;
IEEE Computer Society, Los Alamitos; 2004. ISBN/ISSN: 0-7695-2080-4
@inproceedings{BenQQ04e,
author = {P. Benner and E.S. Quintana-Ort{i} and G. Quintana-Ort{i}},
title = {Parallel model reduction of large-scale linear descriptor systems via {B}alanced {T}runcation},
booktitle = {High Performance Computing for Computational Science. Proc. 6th Intl. Meeting VECPAR04,
June 28--30,
2004,
Valencia,
Spain},
pages = {65--78},
year = {2004},
}
Parallel Model Reduction of Large-Scale Linear Descriptor Systems via Balanced Truncation;
Benner, Peter; Quintana-Ortí, Enrique S.; Quintana-Ortí, Gregorio;
in M. Daydé, J.J. Dongarra, V. Hernández, J.M.L.M. Palma: High Performance Computing for Computational Science - VECPAR 2004  :  Lecture Notes in Computer Science, No. 3402, pp. 340-353;
Springer-Verlag, Berlin, Heidelberg; 2004. ISBN/ISSN: 3-540-25424-2
@article{BenS04,
author = {P. Benner and J. Saak},
title = {Efficient numerical solution of the {LQR}-problem for the heat equation},
year = {2004},
journal = {Proc. Appl. Math. Mech.},
volume = {4},
number = {1},
pages = {648--649},
annote = {http://www.wiley-vch.de/home/pamm} }
Efficient numerical solution of the LQR-problem for the heat equation;
Benner, Peter; Saak, Jens;
Proceedings in Applied Mathematics and Mechanics  :  Vol. 4, No. 1, pp. 648-649;
Wiley InterScience; 2004.
DOI: 10.1002/pamm.200410305.
15Evaluation of the Linear Matrix Equation Solvers in SLICOT;
Benner, Peter; Sima, Vasile; Slowik, Martin;
SLICOT Working Note 2004-1; 2004.
7Iterative Regularisierungsverfahren für spezielle Klassen inverser Probleme;
Görner, Sabine;
TU Chemnitz; 2004.
41On Accuracy in Computational Control Problems;
V.I. Sokolov;
Proc Appl. Mat. Mec.; 2004.

2003

85Solving Algebraic Riccati Equations with SLICOT;
Benner Peter; Sima, Vasile;
Proceedings of the 11th Mediterranean Conference on Control & Automation, paper IV01-1 (6 pages);
MED03; 2003.
86A Service for Remote Model Reduction of Very Large Linear Systems;
Benner, Peter ; Mayo, Rafael; Quintana-Ortí, Enrique S.; Quintana-Ortí, Gregorio;
Proceedings of 17th International Parallel & Distributed Processing Symposium (IPDPS 2003), paper W16-PDSECA-22, 6 pages;
IEEE Computer Society Press; 2003. ISBN/ISSN: 0-7695-1926-1
40A Structure-Preserving Method for Generalized Algebraic Riccati Equations Based on Pencil Arithmetic;
Benner, Peter; Byers, Ralph;
Proceedings of the European Control Conference;
ECC03, Cambridge, UK; 2003.
(CD Rom).
72On the Kleinman Iteration for Nonstabilizable Systems;
Benner, Peter; Hernández, Vicente; Pastor, Antonio;
Mathematics of Control, Signals, and Systems   :  Vol. 16(1), pp. 76-93;
2003.
The retrievable version appeared as Berichte aus der Technomathematik, Report 99-11, October 1999..
71Structure Preservation: A Challenge in Computational Control;
Benner, Peter; Kreßner, Daniel; Mehrmann, Volker;
Future Generation Computer Systems  :  Vol. 19, pp. 1243-1252;
2003.
70 State-Space Truncation Methods for Parallel Model Reduction of Large-Scale Systems;
Benner, Peter; Quintana-Ortí, Enrique S.; Quintana-Ortí, Gregorio;
Parallel Computing  :  Vol. 29 (special issue on \"Parallel and Distributed Scientific and Engineering Computing\"), pp. 1701-1722;
2003.
@article{BenQQ00c,
author = {P. Benner and E.S. Quintana-Ort\\'{i} and G. Quintana-Ort\\'{i}},
title = {Parallel Algorithms for Model Reduction of Discrete-Time Systems},
journal = {Int. J. Syst. Sci.},
volume = {34},
number = {5},
pages = {319--333},
year = {2003},
annote = {FB3~--~Mathematik und Informatik,
Universit\"at Bremen,
Berichte aus der Techno-mathe-ma-tik,
Report 00--18,
28334 Bremen (Germany),
December2000.} }
Parallel Algorithms for Model Reduction of Discrete-Time Systems;
Benner, Peter; Quintana-Ortí, Enrique S.; Quintana-Ortí, Gregorio;
International Journal of System Sciences  :  Vol. 34, No. 5, pp. 319-333;
2003.
The retrievable version appeared as Berichte aus der Technomathematik, Report 00-18, December 2000..
@article{Ben03,
author = {P. Benner},
title = {Partial stabilization of generalized state-space systems using the disk function method},
journal = {Proc. Appl. Math. Mech.},
volume = {2},
number = {1},
year = {2003},
pages = {479--480} }
Partial Stabilization of Generalized State-Space Systems Using the Disk Function Method;
Peter Benner;
Proceedings in Applied Mathematics and Mechanics, Vol. 2, No. 1, pp. 479-480;
2003.
@MastersThesis{Saa03,
author = {J. Saak},
title = {Effiziente numerische {L}"osung eines {O}ptimalsteuerungsproblems f"ur die {A}bk"uhlung von Stahlprofilen},
school = {Fachbereich 3/Mathematik und Informatik,
Universit"at Bremen},
year = {2003},
type = {Diplomarbeit},
address = {D-28334 Bremen},
month = sep }
Effiziente numerische Lösung eines Optimalsteuerungsproblems für die Abkühlung von Stahlprofilen;
Saak, Jens;
Universität Bremen; 2003.
.PS.BZ2; .PS.GZ.
83Solving Linear Matrix Equations with SLICOT
Sima, Vasile; Benner, Peter;
Proceedings of the European Control Conference;
ECC03, Cambridge, UK; 2003.
(CD Rom).

2000

@article{BenBB00 author = {Benner,
Peter and Byers,
Ralph and Barth,
Eric},
title = {Algorithm 800: Fortran 77 Subroutines for Computing the Eigenvalues of Hamiltonian Matrices. I: The Square-reduced Method},
journal = {ACM Trans. Math. Softw.},
issue_date = {March 2000},
volume = {26},
number = {1},
month = mar,
year = {2000},
issn = {0098-3500},
pages = {49--77},
numpages = {29},
url = {http://doi.acm.org/10.1145/347837.347852},
doi = {10.1145/347837.347852},
acmid = {347852},
publisher = {ACM},
address = {New York,
NY,
USA},
keywords = {(square-reduced),
Hamiltonian matrix,
algebraic Riccati equation,
eigenvalues,
skew-Hamiltonian matrix},
}
Algorithm 800: Fortran 77 subroutines for computing the eigenvalues of Hamiltonian matrices. I: the square-reduced method
Benner, Peter; Byers, Ralph; Barth Eric; ;
ACM Transactions on Mathematical Software (TOMS)  :  Vol. 26;
ACM; 2000.

1995

313A Collection of Benchmark Examples for the Numerical Solution of Algebraic Riccati Equations I: The Continuous-Time Case.;
Benner, Peter; Laub, Alan; Mehrmann, Volker; ;
SPC 95-22;
SPC Preprints, TU Chemntiz-Zwickau; 1995.
314A Collection of Benchmark Examples for the Numerical Solution of Algebraic Riccati Equations II: The Discrete-Time Case.;
Benner, Peter; Laub, Alan; Mehrmann, Volker;;
SPC 95-23;
SPC Preprints, TU Chemntiz-Zwickau; 1995.