Publication database

@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" }

@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 }

@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} }

@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} }

@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},
}

@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} }

@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 }

@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} }

@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},
}

@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} }

@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 }

@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 }

@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},
}

@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} }

@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} }

@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} }

@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} }

@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" }

@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} }

@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},
}

@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} }

@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},
}

@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 }

@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} }

@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 }

@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/}},
}

@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} }

@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},
}

@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} }

@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},
}

@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} }

@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} }

@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. \" }

@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},
}

@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} }

@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},
}

@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},
}

@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 }

@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/}},
}

@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/}},
}

@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/}},
}

@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},
}

@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} }

@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/}},
}

@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},
}

@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},
}

@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} }

@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/}},
}

@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},
}

@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},
}

@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},
}

@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",
}

@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} }

@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},
}

@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},
}

@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},
}

@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} }

@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},
}

@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},
}

@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},
}

@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} }

@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},
}

@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},
}

@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} }

@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} }

@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},
}

@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},
}

@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},
}

@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} }

@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} }

@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} }

@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} }

@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},
}

@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}} }

@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}}

@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},
}

@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} }

@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} }

@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} }

@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}} }

@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}} }

@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} }

@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} }

@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} }

@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} }

@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} }

@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} }

@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} }

@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} }

@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}}

@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} }

@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} }

@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} }

@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]} }

@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}.} }

@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} }

@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)},
}

@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} }

@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} }

@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} }

@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} }

@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},
}

@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} }