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# Peter Benner - Publications

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## Books

 [B9] Model Reduction and Approximation: Theory and Algorithms Peter Benner, Albert Cohen, Mario Ohlberger, and Karen Willcox (Eds.) Computational Science and Engineering Vol. 15, SIAM Publications, Philadelphia, PA, 2017. [ISBN: 978-1-611974-81-2] DOI: 10.1137/1.9781611974829 [B8] Model Reduction of Parametrized Systems Peter Benner, Mario Ohlberger, Anthony Patera, Gianluigi Rozza, and Karsten Urban (Eds.) MS&A – Modeling, Simulation and Applications, Vol. 17, Springer International Publishing, 2017. [ISBN: 978-3-319-58785-1] DOI: 10.1007/978-3-319-58786-8 [B7] System Reduction for Nanoscale IC Design Peter Benner (Ed.) Mathematics in Industry, Vol. 20, Springer-Verlag, 2017. [ISBN: 978-3-319-07235-7 (hardcover), 978-3-319-07236-4 (eBook)] DOI: 10.1007/978-3-319-07236-4 [B6] Numerical Algebra, Matrix Theory, Differential-Algebraic Equations and Control Theory: Festschrift in Honor of Volker Mehrmann Peter Benner, Matthias Bollhöfer, Daniel Kressner, Christian Mehl, and Tatjana Stykel (Eds.) Springer International Publishing, 2015. [ISBN: 978-3-319-15259-2 (hardcover), ISBN: 978-3-319-15260-8 (eBook)] DOI: 10.1007/978-3-319-15260-8 [B5] Modelo para las aspersiones con glifosato: frontera Ecuador-Colombia [in Spanish] Peter Benner, Hermann Mena, and René Schneider Shaker-Verlag, Aachen, 2014. [ISBN: 978-3-8440-3061-7] DOI: 10.2370/9783844030617 [B4] Large-Scale Networks in Engineering and Life Sciences Peter Benner, Rolf Findeisen, Dietrich Flockerzi, Udo Reichl, and Kai Sundmacher (Eds.) Modeling and Simulation in Science, Engineering and Technology, Birkhäuser, Boston, MA, 2014. [ISBN: 978-3-319-08436-7 (hardcover), 978-3-319-08437-4 (eBook)] DOI: 10.1007/978-3-319-08437-4 [B3] Trends in PDE Constrained Optimization Günter Leugering, Peter Benner, Sebastian Engell, Andreas Griewank, Helmut Harbrecht, Michael Hinze, Rolf Rannacher, and Stefan Ulbrich (Eds.) International Series of Numerical Mathematics, Vol. 165, Birkhäuser, Basel, 2014. [ISBN: 978--3-319-05082-9 (hardcover), 978-3-319-05083-6 (eBook)] DOI: 10.1007/978-3-319-05083-6 [B2] Model 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: 978-94-007-0088-8 (hardcover), 978-94-007-0090-1 (paperback)] Read online here. DOI: 10.1007/978-94-007-0089-5 [B1] Dimension Reduction of Large-Scale Systems Peter Benner, Volker Mehrmann, and Danny C. Sorensen (Eds.) Lecture Notes in Computational Science and Engineering, Vol. 45, Springer-Verlag, Berlin/Heidelberg, June 2005. [ISBN: 3-540-24545-6] DOI: 10.1007/3-540-27909-1

## Editorials

 [E13] Preface: Model Reduction of Parametrized Systems Gianluigi Rozza, Peter Benner, Mario Ohlberger, Anthony T. Patera, and Karsten Urban Model Reduction of Parametrized Systems, MS&A - Modeling, Simulation and Applications, Springer International Publishing, Cham, Vol. 17, pp. v-vi, 2017. DOI: 10.1007/978-3-319-58786-8 [E12] Preface: Model Reduction and Approximation: Theory and Algorithms Peter Benner, Albert Cohen, Mario Ohlberger, and Karen Willcox In P. Benner, A. Cohen, M. Ohlberger, and K. Willcox (Eds.) Model Reduction and Approximation: Theory and Algorithms, SIAM Publications, Philadelphia, PA, 2017. DOI: 10.1137/1.9781611974829 [E11] Preface: System Reduction for Nanoscale IC Design Peter Benner In P. Benner (Ed.), System Reduction for Nanoscale IC Design, Mathematics in Industry, Vol. 20, pp. v-vii, Springer International Publishing, Cham. 2017. DOI: 10.1007/978-3-319-07236-4 [E10] Model Order Reduction of Parameterized Systems (MoRePaS): Preface to the Special Issue of Advances in Computational Mathematics Peter Benner, Mario Ohlberger, Anthony T. Patera, Gianluigi Rozza, Danny C. Sorensen, and Karsten Urban Advances in Computational Mathematics, Vol. 41, Issue 5, pp. 955-960, 2015. DOI: 10.1007/s10444-015-9443-y [E9] Introduction to the special issue for EUCCO 2013 Peter Benner, Roland Herzog, Michael Hinze, Arnd Rösch, Anton Schiela, and Volker Schulz Computational Optimization and Applications, Vol. 62, No. 1, pp. 1-3, 2015. DOI: 10.1007/s10589-015-9776-y [E8] Preface: Festschrift in Honor of Volker Mehrmann Peter Benner, Matthias Bollhöfer, Daniel Kressner, Christian Mehl, and Tatjana Stykel In P. Benner, M. Bollhöfer, D. Kressner, Ch. Mehl, and T. Stykel (Eds.), Numerical Algebra, Matrix Theory, Differential-Algebraic Equations and Control Theory: Festschrift in Honor of Volker Mehrmann, pp. v-xvii, Springer International Publishing, 2015. [ISBN: 978-3-319-15259-2] DOI: 10.1007/978-3-319-15260-8 [E7] Introduction Günter Leugering, Andreas Griewank, Stefan Ulbrich, Helmut Harbrecht, Peter Benner, Rolf Rannacher, Michael Hinze, and Sebastian Engell In G. Leugering, P. Benner, S. Engell, A. Griewank, H. Harbrecht, M. Hinze, R. Rannacher, and S. Ulbrich (Eds.), Trends in PDE Constrained Optimization, International Series of Numerical Mathematics, Vol. 165, pp. 1-4, Springer International Publishing, Switzerland, 2014. [ISBN: 978-3-319-05082-9] DOI: 10.1007/978-3-319-05083-6_1 [E6] Introduction to Part III Adaptivity and Model Reduction Peter Benner and Rolf Rannacher In G. Leugering, P. Benner, S. Engell, A. Griewank, H. Harbrecht, M. Hinze, R. Rannacher, and S. Ulbrich (Eds.), Trends in PDE Constrained Optimization, International Series of Numerical Mathematics, Vol. 165, pp. 249-250, Springer International Publishing, Switzerland, 2014. [ISBN: 978-3-319-05082-9] DOI: 10.1007/978-3-319-05083-6_16 [E5] Structured Matrix Computations in Non-Euclidean Geometries: Algorithms and Applications Peter Benner, Miloud Sadkane, and Ahmed Salam BIT Numerical Mathematics, Vol. 54, No. 1, pp. 1-5, 2014. DOI: 10.1007/s10543-014-0479-z. [E4] Preface of the Guest-Editors Peter Benner and Daniel Kressner GAMM Mitteilungen, Vol. 36, No. 1, pp. 6-7, 2013. DOI: 10.1002/gamm.201310001. [E3] A Mathematical Biography of Danny C. Sorensen Peter Benner, Mark Embree, Richard B. Lehoucq, and C.T. Kelley Linear Algebra and its Applications, Vol. 436, Issue 8, pp. 2717-2724, 2012. DOI: 10.1016/j.laa.2012.01.031. [E2] Editorial: Large-Scale Matrix Equations of Special Type Peter Benner Numerical Linear Algebra with Applications, Vol. 15, No. 9, pp. 747-754, 2008. DOI: 10.1002/nla.621. [E1] Preface Special Issue on "Order reduction of large-scale systems" Peter Benner, Roland W. Freund, Danny C. Sorensen, and Andras Varga Linear Algebra and its Applications, Vol. 415, Issues 2-3, pp. 231-234, 2006. DOI: 10.1016/j.laa.2006.01.018.

## Submitted articles

 [S28] Periodic Switching Strategies for an Isoperimetric Control Problem with Application to Nonlinear Chemical Reactions Peter Benner, Andreas Seidel-Morgenstern, and Alexander Zuyev Submitted, April 2018. [S27] Efficient 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, and Heiko K. Weichelt arXiv Preprint arXiv:1804.01410 [math.NA], April 2018. [S26] Low-Order Control Design using a Reduced-Order Model with a Stability Constraint on the Full-Order Model Peter Benner, Tim Mitchell, and Michael L. Overton arXiv Preprint arXiv:1803.06549 [math.OC], March 2018. [S25] Low-Order Control Design using a Reduced-Order Model with a Stability Constraint on the Full-Order Model Peter Benner, Tim Mitchell, and Michael L. Overton Submitted, March 2018. [S24] Computing the Density of States for Optical Spectra by Low-Rank and QTT Tensor Approximation Peter Benner, Venera Khoromskaia, Boris N. Khoromskij, and Chao Yang arXiv Preprint arXiv:1801.03852 [math.NA], January 2018. [S23] Extended and Improved Criss-Cross Algorithms for Computing the Spectral Value Set Abscissa and Radius Peter Benner, and Tim Mitchell arXiv Preprint arXiv:1712.10067 [math.OC], December 2017. [S22] Gas Network Benchmark Models Peter Benner, Sara Grundel, Christian Himpe, Christoph Huck, Tom Streusel, and Caren Tischendorf Submitted, December 2017. [S21] A New Two-Sided Projection Technique for Model Reduction of Quadratic-Bilinear Descriptor Systems Mian Ilyas Ahmad, Peter Benner, and Lihong Feng Submitted, November 2017. [S20] Synchronization and Aggregation of Nonlinear Power Systems Petar Mlinarić, Takayuki Ishizaki, Aranya Chakrabortty, Sara Grundel, Peter Benner, and Jun-ichi Imura Submitted, November 2017. [S19] An Inexact Newton-Krylov Method for Stochastic Eigenvalue Problems Peter Benner, Akwum Onwunta, and Martin Stoll arXiv Preprint arXiv:1710.09470, October 2017. [S18] Optimal Sensor Placement based on Model Order Reduction Peter Benner, Roland Herzog, Norman Lang, Ilka Riedel, and Jens Saak Submitted, October 2017. [S17] Faster and more Accurate Computation of the H∞-Norm via Optimization Peter Benner and Tim Mitchell arXiv Preprint arXiv:1707.02497, July 2017. [S16] Model Reduction of Controlled Fokker-Planck and Liouville-von Neumann Equations Peter Benner, Tobias Breiten, Carsten Hartmann, and Burkhard Schmidt arXiv Preprint arXiv:1706.09882 , July 2017. [S15] A Local Discontinuous Galerkin Method for Dirichlet Boundary Control Problems Peter Benner and Hamdullah Yücel Submitted, May 2017. [S14] Fast Solution of the Poisson-Boltzmann Equation with nonaffine Parametrized Boundary Conditions Using the Reduced Basis Method Peter Benner Lihong Feng, Cleophas Kweyu, and Matthias Stein arXiv Preprint arXiv:1705.08349, May 2017. [S13] Optimal Control Problems Constraint by the Stochastic Navier-Stokes Equations with Multiplicative Lévy Noise Peter Benner and Christoph Trautwein Submitted, May 2017. [S12] Balanced Truncation Model Order Reduction For Quadratic-Bilinear Control Systems Peter Benner and Pawan Goyal arXiv Preprint arXiv:1705.00160, April 2017. [S11] Interpolatory Model Reduction for Quadratic-Bilinear Systems using Error Estimators Mian Ilyas Ahmad, Peter Benner, and Lihong Feng Submitted, April 2017. [S10] Low-Rank Computation of Posterior Covariance Matrices in Bayesian Inverse Problems Peter Benner, Yue Qiu, and Martin Stoll arXiv Preprint arXiv:1703.05638, March 2017. [S9] Solving Optimal Control Problems Governed by Random Navier-Stokes Equations Using Low-Rank Methods Peter Benner, Sergey Dolgov, Akwum Onwunta, and Martin Stoll arXiv Preprint arXiv:1703.06097, March 2017. [S8] Hankel-Norm Approximation of Descriptor Systems Steffen Werner and Peter Benner Submitted, December 2016. [S7] Model Reduction of Linear Multi-Agent Systems by Clustering and with H2- and H∞-Error Bounds Hidde-Jan Jongsma, Petar Mlinarić, Sara Grundel, Peter Benner, and Harry L. Trentelman Submitted September 2016. [S6] Relative Perturbation Theory for Quadratic Eigenvalue Problems Peter Benner, Xin Liang, Suzana Miodragović, and Ninoslav Truhar arXiv Preprint arXiv:1602.03420v2 [math.NA], February 2016. [S5] Balanced Truncation of Linear Time-Invariant Systems over Finite-frequency Ranges Xin Du and Peter Benner arXiv Preprint arXiv:1602.04402v1 [cs.SY], February 2016. [S4] Finite-Frequency Model Order Reduction of Linear Systems via Parameterized Frequency-dependent Balanced Truncation Xin Du and Peter Benner arXiv Preprint arXiv:1602.04408v1 [cs.SY], February 2016. [S3] A Note on a Family of Generalized Procrustes Problems Jens Fankhänel and Peter Benner Submitted September 2015 [S2] Adaptive Discontinuous Galerkin Approximation of Optimal Control Problems Governed by Transient Convection-Diffusion Equations Hamdullah Yücel, Martin Stoll, and Peter Benner MPI Magdeburg Preprint MPIMD/15-11, July 2015. [S1] Balanced Truncation for Descriptor Systems with Many Terminals Peter Benner and André Schneider MPI Magdeburg Preprint MPIMD/13-17, October 2013.

## Refereed articles in journals

NOTE: The versions of the papers that can be downloaded from this page are often the official journal versions with restricted access. Often, preliminary versions in the form of preprints are available. In any case, we advise you to prefer the published articles as they contain the most recent versions. Electronic reprints of the official versions are available on request.

 [J187] Space-time Galerkin POD with Application in Optimal Control of Semi-Linear Parabolic Partial Differential Equations Manuel Baumann, Peter Benner and Jan Heiland SIAM Journal on Scientific Computing, accepted April 2018. Preliminary version appeared as arXiv Preprint arXiv:1611.04050, November 2016. [J186] Comparison of Model Order Reduction Methods for Optimal Sensor Placement for Thermo-Elastic Models Peter Benner, Roland Herzog, Norman Lang, Ilka Riedel, and Jens Saak Engineering Optimization, accepted 22 March 2018. [J185] H2-Quasi-Optimal Model Order Reduction for Quadratic-Bilinear Control Systems Peter Benner, Pawan Goyal, and Serkan Gugercin SIAM Journal on Matrix Analysis and Applications, accepted 6 February 2018. Preliminary version appeared as arXiv Preprint arXiv:1610.03279v1, October 2016. [J184] A GPU-aware Mixed-precision Solver for Low-rank Algebraic Riccati Equations Peter Benner, Ernesto Dufrechou, Pablo Ezzatti, Alfredo Remón, and Jens Saak Concurrency and Computation: Practice and Experience, available online 1 March 2018. DOI: 10.1002/cpe.4462 [J183] On Reduced Input-Output Dynamic Mode Decomposition Peter Benner, Christian Himpe, and Tim Mitchell Advances in Computational Mathematics, accepted 10 January 2018. Preliminary version appeared as arXiv Preprint arXiv:1712.08447 [cs.SY], December 2017. [J182] Some Remarks on the Complex J-Symmetric Eigenproblem Peter Benner, Heike Faßbender, and Chao Yang Linear Algebra and Its Applications, Vol. 544, pp. 407-442, 2018. DOI: 10.1016/j.laa.2018.01.014 Preliminary version appeared as MPI Magdeburg Preprint MPIMD/15-12, July 2015. [J181] Model Reduction by Iterative Error System Approximation Lihong Feng, Athanasios C. Antoulas, and Peter Benner Mathematical and Computer Modelling of Dynamical Systems, Vol. 24, Issue 2, pp. 103-118, 2018. DOI: 10.1080/13873954.2018.1427116 [J180] Range-Separated Tensor Format for Many-Particle Modeling Peter Benner, Venera Khoromskaia, and Boris N. Khoromskij SIAM Journal on Scientific Computing, Vol. 40, Issue 2, pp. A1034–A1062, 2017. DOI: 10.1137/16M1098930 Preliminary version appeared as arXiv Preprint arXiv:1606.09218, June 2016. [J179] L∞-Norm Computation for Large-Scale Descriptor Systems Using Structured Iterative Eigensolvers Peter Benner, Ryan Lowe, and Matthias Voigt Numerical Algebra, Control and Optimization (NACO), Vol. 8, Issue 1, pp. 119-133, 2018. DOI: 10.3934/naco.2018007 [J178] Large-Scale Computation of L∞-Norms by a Greedy Subspace Method Nicat Aliyev, Peter Benner, Emre Mengi, Paul Schwerdtner, and Matthias Voigt SIAM Journal on Matrix Analysis and Applications, Vol. 38, No. 4, pp. 1496–1516, 2017. DOI: 10.1137/16M1086200 Preliminary version appeared as arXiv Preprint arXiv:1705.10086, May 2017. [J177] A Linear Quadratic Control Problem for the Stochastic Heat Equation Driven by Q-Wiener Processes Peter Benner and Christoph Trautwein Journal of Mathematical Analysis and Applications, Vol. 457, No. 1, pp. 776-802, 2018. DOI: 10.1016/j.jmaa.2017.08.052 [J176] Exponential Stability and Stabilization of Extended Linearizations via Continuous Updates of Riccati-Based Feedback Peter Benner and Jan Heiland International Journal of Robust and Nonlinear Control, Vol. 28, No. 4, pp. 1218-1232, 2018. DOI: 10.1002/rnc.3949 Preliminary version appeared as arXiv Preprint arXiv:1607.08441, July 2016. [J175] Singular Perturbation Approximation for Linear Systems with Lévy Noise Peter Benner and Martin Redmann Stochastics and Dynamics, accepted 22 July 2017. DOI: 10.1142/S0219493718500338 Preliminary version appeared as MPI Magdeburg Preprint MPIMD/15-22, December 2015. [J174] RADI: A Low-Rank ADI-type Algorithm for Large Scale Algebraic Riccati Equations Peter Benner, Zvonimir Bujanović, Patrick Kürschner, and Jens Saak Numerische Mathematik, Vol. 138, No. 2, pp. 301-330, 2018. DOI: 10.1007/s00211-017-0907-5 Preliminary version appeared as "A Low-Rank Quadratic ADI Algorithm for Algebraic Riccati Equations", arXiv Preprint arXiv:1510.00040 [math.NA], September 2015. [J173] Optimal Control of a Stefan Problem Fully Coupled with Navier-Stokes-Equations and Mesh Movement Björn Baran, Peter Benner, Jan Heiland, and Jens Saak Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, accepted 3 June 2017. [J172] Computing the Stochastic H∞-Norm by a Newton Iteration Tobias Damm, Peter Benner, and Jan Hauth IEEE Control Systems Letters, Vol. 1, No. 1, pp. 92-97, 2017. DOI: 10.1109/LCSYS.2017.2707409 Preliminary version appeared as arXiv Preprint arXiv:1703.04440, March 2017. [J171] An H2-Type Error Bound for Balancing-Related Model Order Reduction of Linear Systems with Lévy Noise Peter Benner and Martin Redmann Systems & Control Letters, Vol. 105, pp. 1-5, 2017. DOI: 10.1016/j.sysconle.2017.04.004 Preliminary version appeared as MPI Magdeburg Preprint MPIMD/15-20, December 2015. [J170] 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, Vol. 319, pp. 409-424, 2018. DOI: 10.1016/j.amc.2017.04.024 [J169] Moment-Matching Based Model Reduction for Navier-Stokes Type Quadratic-Bilinear Descriptor Systems Mian Ilyas Ahmad, Peter Benner, Pawan Goyal, and Jan Heiland Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM), Vol. 97, No. 10, pp. 1252–1267, 2017. DOI: 10.1002/zamm.201500262 Preliminary version appeared as MPI Magdeburg Preprint MPIMD/15-18, October 2015. [J168] Adaptive POD-DEIM Basis Construction and its Application to a Nonlinear Population Balance System Lihong Feng, Michael Mangold, and Peter Benner AIChE Journal, Vol 63, No. 9, pp. 3832–3844, 2017. DOI: 10.1002/aic.15749 [J167] 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 (M2AN), Vol. 51, No. 6, pp. 2127-2157, 2017. DOI: 10.1051/m2an/2017014 Preliminary version appeared as MPI Magdeburg Preprint MPIMD/15-17, October 2015. [J166] POD-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, Vol. 106, pp. 777-783, 2017. DOI: 10.1016/j.compchemeng.2017.02.032 [J165] Adaptive Symmetric Interior Penalty Galerkin Method for Boundary Control Problems Peter Benner and Hamdullah Yücel SIAM Journal on Numerical Analysis, Vol. 55, No. 2, pp. 1101–1133, 2017. DOI: 10.1137/15M1034507 Preliminary version appeared as MPI Magdeburg Preprint MPIMD/15-13, August 2015. [J164] Structure Preserving Iterative Methods for Periodic Projected Lyapunov Equations and their Application in Model Reduction of Periodic Descriptor Systems Peter Benner and Mohammad-Sahadet Hossain Numerical Algorithms, Vol. 76, Issue 4, pp. 881-904, 2017. DOI: 10.1007/s11075-017-0288-y Preliminary version appeared as MPI Magdeburg Preprint MPIMD/15-08, July 2015. [J163] Fast Iterative Solution of the Bethe-Salpeter Eigenvalue Problem Using Low-Rank and QTT Tensor Approximation Peter Benner, Sergey Dolgov, Venera Khoromskaia, and Boris N. Khoromskij Journal of Computational Physics, Vol. 334, pp. 221–239, 2017. DOI: 10.1016/j.jcp.2016.12.047. Preliminary version appeared as arXiv Preprint arXiv:1602.02646v1 [math.NA], February 2016. [J162] An Isoperimetric Optimal Control Problem for a Non-Isothermal Chemical Reactor with Periodic Inputs Alexander Zuyev, Andreas Seidel-Morgernstern, and Peter Benner Chemical Engineering Science, Vol. 161, pp. 206–214, 2017. DOI: 10.1016/j.ces.2016.12.025. [J161] Extending the Gauss-Huard Method for the Solution of Lyapunov Matrix Equations and Matrix Inversion Peter Benner, Pablo Ezzatti, Enrique S. Quintana-Ortí, and Alfredo Remón Concurrency and Computation: Practice and Experience, Vol. 29, No. 9, pp. e4076 (13pp.), 2017. DOI: 10.1002/cpe.4076. [J160] Krylov Subspace-based Model Reduction for a Class of Bilinear Descriptor Systems Pawan Goyal, Mian Ilyas Ahmad, and Peter Benner Journal of Computational and Applied Mathematics, Vol. 315, pp. 303–318, 2017. DOI: 10.1016/j.cam.2016.11.009. Preliminary version appeared as MPI Magdeburg Preprint MPIMD/15-07, May 2015. [J159] Implicit Volterra Series Interpolation for Model Reduction of Bilinear Systems Mian Ilyas Ahmad, Ulrike Baur, and Peter Benner Journal of Computational and Applied Mathematics, Vol. 316, pp. 15-28, 2017. DOI: 10.1016/j.cam.2016.09.048. Preliminary version appeared as MPI Magdeburg Preprint MPIMD/15-21, December 2015. [J158] Accelerating Optimization and Uncertainty Quantification of Nonlinear SMB Chromatography Using Reduced-Order Models Yongjin Zhang, Lihong Feng, Andreas Seidel-Morgenstern, and Peter Benner Computers & Chemical Engineering, Vol. 96, pp. 237-247, 2017. DOI: 10.1016/j.compchemeng.2016.09.017. [J157] Parametric Modeling and Model Order Reduction for (Electro-)Thermal Analysis of Nanoelectronic Structures Lihong Feng, Yao Yue, Nicodemus Banagaaya, Peter Meuris, Wim Schoenmaker, and Peter Benner Journal of Mathematics in Industry, Vol. 6, Art. 10 (16pp.), 2016. DOI: 10.1186/s13362-016-0030-8. [J156] Multipoint Interpolation of Volterra Series and H2-Model Reduction for a Family of Bilinear Descriptor Systems Peter Benner and Pawan Goyal Systems & Control Letters, Vol. 97, pp. 1-11, 2016. DOI: 10.1016/j.sysconle.2016.08.008. Preliminary version appeared as MPI Magdeburg Preprint MPIMD/15-16, September 2015. [J155] Structure Preserving Model Order Reduction of Large Sparse Second-Order Index-1 Systems and Application to a Mechatronics Model Peter Benner, Jens Saak, and M. Monir Uddin Mathematical and Computer Modelling of Dynamical Systems, Vol. 22, Issue 6, pp. 509-523, 2016. DOI: 10.1080/13873954.2016.1218347. Preliminary version appeared as MPI Magdeburg Preprint MPIMD/14-23, December 2014. [J154] Nanoelectronic COupled Problems Solutions - nanoCOPS: Modelling, Multirate, Model Order Reduction, Uncertainty Quantification, Fast Fault Simulation E. J. W. ter Maten, P. A. Putek, M. Günther, R. Pulch, C. Tischendorf, Ch. Strohm, W. Schoenmaker, P. Meuris, B. De Smedt, P. Benner, L. Feng, N. Banagaaya, Y. Yue et al. Journal of Mathematics in Industry, Vol. 7, Art. 2 (19pp.), 2017. DOI: 10.1186/s13362-016-0025-5. Updated and extended version of OP17. [J153] Krylov Subspace Methods for Model Reduction of Quadratic-Bilinear Systems Mian Ilyas Ahmad, Peter Benner, and Imad M. Jaimoukha IET Control Theory & Applications, Vol. 10, Issue 16, pp. 2010–2018, 2016. DOI: 10.1049/iet-cta.2016.0415. [J152] An Inexact Low-Rank Newton-ADI Method for Large-Scale Algebraic Riccati Equations Peter Benner, Matthias Heinkenschloss, Jens Saak, and Heiko K. Weichelt Applied Numerical Mathematics, Vol. 108, pp. 125-142, June 2016. DOI: 10.1016/j.apnum.2016.05.006. Preliminary version appeared as MPI Magdeburg Preprint MPIMD/15-06, May 2015. [J151] Dual Pairs of Generalized Lyapunov Inequalities and Balanced Truncation of Stochastic Linear Systems Peter Benner, Tobias Damm, and Yolanda Rocio Rodriguez Cruz IEEE Transactions on Automatic Control, Vol. 62, No. 2, pp. 782-791, 2017. DOI: 10.1109/TAC.2016.2572881. [J150] Numerical Solution of the Infinite-Dimensional LQR Problem and the Associated Riccati Differential Equations Peter Benner and Hermann Mena Journal of Numerical Mathematics, Vol. 26, Issue 1, pp. 1-20, 2018. DOI: 10.1515/jnma-2016-1039. Preliminary version appeared as MPI Magdeburg Preprint MPIMD/12-13, August 2012. [J149] 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, and Jörg Wensch Production Engineering Research & Development, Vol. 10, Issue 3, pp. 253-263, 2016. DOI: 10.1007/s11740-016-0674-7. [J148] Trigonometric Spline and Spectral Bounds for the Solution of Linear Time-Periodic Systems Peter Benner, Jonas Denißen, and Ludwig Kohaupt Journal of Applied Mathematics and Computing, Vol. 54, Issue 1, pp. 127–157, 2017. DOI: 10.1007/s12190-016-1001-3. Preliminary version appeared as MPI Magdeburg Preprint MPIMD/16-01, January 2016. [J147] Low-Rank Solvers for Unsteady Stokes-Brinkman Optimal Control Problem with Random Data Peter Benner, Sergey Dolgov, Akwum Onwunta, and Martin Stoll Computer Methods in Applied Mechanics and Engineering, Vol. 304, pp. 26-54, 2016. DOI: 10.1016/j.cma.2016.02.004. Preliminary version appeared as MPI Magdeburg Preprint MPIMD/15-10, July 2015. [J146] Balancing Energy and Performance in Dense Linear System Solvers for Hybrid ARM+GPU Juan Pablo Silva, Ernesto Dufrechou, Pablo Ezzatti, Enrique S. Quintana-Ortí, Alfredo Remón, and Peter Benner CLEI Electronic Journal, Vol. 19, Issue 1, Paper 2, 2016. DOI: 10.19153.19.1.2. [J145] Block-diagonal Preconditioning for Optimal Control Problems Constrained by PDEs with Uncertain Inputs Peter Benner, Akwum Onwunta, and Martin Stoll SIAM Journal on Matrix Analysis and Applications, Vol. 37, No. 2, pp. 491–518, 2016. DOI: 10.1137/15M1018502. Preliminary version appeared as MPI Magdeburg Preprint MPIMD/15-05, April 2015. [J144] A Reduced Basis Approach for Calculation of the Bethe-Salpeter Excitation Energies using Low-Rank Tensor Factorizations Peter Benner, Venera Khoromskaia, and Boris N. Khoromskij Molecular Physics, Vol. 114, Issue 7-8, pp. 1148-1161, 2016. DOI: 10.1080/00268976.2016.1149241. [J143] Frequency-Limited Balanced Truncation with Low-Rank Approximations Peter Benner, Patrick Kürschner, and Jens Saak SIAM Journal on Scientific Computing, Vol. 38, Issue 1, pp. A471–A499, 2016. DOI: 10.1137/15M1030911. Preliminary version appeared as MPI Magdeburg Preprint MPIMD/15-09, July 2015. [J142] Time-dependent Dirichlet Conditions in Finite Element Discretizations Peter Benner and Jan Heiland ScienceOpen Research, available online 3 October 2015. DOI: 10.14293/S2199-1006.1.SOR-MATH.AV2JW3.v1. Preliminary version appeared as MPI Magdeburg Preprint MPIMD/15-03, September 2012. [J141] On the Solution of Large-Scale Algebraic Riccati Equations by Using Low-Dimensional Invariant Subspaces Peter Benner and Zvonimir Bujanović Linear Algebra and Its Applications, Vol. 488, pp. 430-459, 2016. DOI: 10.1016/j.laa.2015.09.027. Preliminary version appeared as MPI Magdeburg Preprint MPIMD/14-15, August 2014. [J140] A Fully Adaptive Scheme for Model Order Reduction Based on Moment-Matching Lihong Feng, Jan G. Korvink, and Peter Benner IEEE Transactions on Components, Packaging, and Manufacturing Technology, Vol. 5, No. 12, pp. 1872-1884, 2015. DOI: 10.1109/TCPMT.2015.2491341. Preliminary version appeared as MPI Magdeburg Preprint MPIMD/12-14, September 2012. [J139] An Efficient Output Error Estimation for Model Order Reduction of Parametrized Evolution Equations Yongjin Zhang, Lihong Feng, and Peter Benner SIAM Journal on Scientific Computing, Vol. 37, No. 6, pp. B910–B936, 2015. DOI: 10.1137/140998603. [J138] Unleashing GPU Acceleration for Symmetric Band Linear Algebra Kernels and Model Reduction Peter Benner, Ernestro Dufrechou, Pablo Ezzatti, Enrique S. Quintana-Ortí, and Alfredo Remón Cluster Computing, Vol. 18, Issue 4, pp. 1351-1362, 2015. DOI: 10.1007/s10586-015-0489-x. [J137] A Discontinous Galerkin Method for Optimal Control Problems Governed by a System of Convection-Diffusion PDEs with Nonlinear Reaction Terms Hamdullah Yücel, Martin Stoll, and Peter Benner Computers and Mathematics with Applications, Vol. 70, Issue 10, pp. 2414-2431, 2015. DOI: 10.1016/j.camwa.2015.09.006. MPI Magdeburg Preprint MPIMD/13-10, July 2013. [J136] Estimating the Inf-Sup Constant in Reduced Basis Methods for Time-Harmonic Maxwell's Equations Martin W. Hess, Sara Grundel, and Peter Benner IEEE Transactions on Microwave Theory and Techniques, Vol. 63, Issue 11, pp. 3549-3557, 2015. DOI: 10.1109/TMTT.2015.2473157. Preliminary version appeared as MPI Magdeburg Preprint MPIMD/14-19, November 2014. [J135] Algorithm 961 - FORTRAN 77 Subroutines for the Solution of Skew-Hamiltonian/Hamiltonian Eigenproblems Peter Benner, Vasile Sima, and Matthias Voigt ACM Transactions on Mathematical Software (TOMS), Vol. 42, Issue 3, no. 24, 2016. DOI: 10.1145/2818313. [J134] Balancing Based Model Reduction for Structured Index-2 Unstable Descriptor Systems with Application to Flow Control Peter Benner, Jens Saak, and M. Monir Uddin Numerical Algebra, Control and Optimization (NACO), Vol. 6, Issue 1, pp. 1-20, 2016. DOI: 10.3934/naco.2016.6.1. Preliminary version appeared as MPI Magdeburg Preprint MPIMD/14-20, November 2014. [J133] Modeling Glyphosate Aerial Spray Drift at the Ecuador-Colombia Border Peter Benner, Hermann Mena, and René Schneider Applied Mathematical Modelling, Vol. 40, No. 1, 373–387. 2016. DOI: 10.1016/j.apm.2015.04.057. Preliminary version appeared as MPI Magdeburg Preprint MPIMD/14-08, April 2014. [J132] Recycling BiCGSTAB with an Application to Parametric Model Order Reduction Kapil Ahuja, Eric de Sturler, Lihong Feng, and Peter Benner SIAM Journal on Scientific Computing, Vol. 37, Issue 5, pp. S429-S446, 2015. DOI: 10.1137/140972433. Preliminary version appeared as MPI Magdeburg Preprint MPIMD/13-21, November 2013. [J131] Model Reduction for Stochastic Systems Peter Benner and Martin Redmann Stochastic Partial Differential Equations: Analysis and Computations, Vol. 3, Issue 3, pp. 291-338, 2015. DOI: 10.1007/s40072-015-0050-1. Preliminary version appeared as MPI Magdeburg Preprint MPIMD/14-03, February 2014. [J130] Accelerating PDE Constrained Optimization by the Reduced Basis Method: Application to Batch Chromatography Yongjin Zhang, Lihong Feng, Suzhou Li, and Peter Benner International Journal for Numerical Methods in Engineering, Vol. 104, Issue 11, pp. 983-1007, 2015. DOI: 10.1002/nme.4950. Preliminary version appeared as MPI Magdeburg Preprint MPIMD/14-09, May 2014. [J129] A Survey of Projection-Based Model Reduction Methods for Parametric Dynamical Systems Peter Benner, Serkan Gugercin, and Karen Willcox SIAM Review, Vol. 57, Issue 4, pp. 483–531, 2015. DOI: 10.1137/130932715.Preliminary version appeared as MPI Magdeburg Preprint MPIMD/13-14, August 2013. [J128] Low-Rank Newton-ADI Methods for Large Nonsymmetric Algebraic Riccati Equations Peter Benner, Patrick Kürschner, and Jens Saak Journal of the Franklin Institute, Vol. 353, Issue 5, pp. 1147-1167, 2016. DOI: 10.1016/j.jfranklin.2015.04.016. Preliminary version appeared as MPI Magdeburg Preprint MPIMD/14-21, November 2014. [J127] Semi-Active Damping Optimization of Vibrational Systems using the Parametric Dominant Pole Algorithm Peter Benner, Patrick Kürschner, Zoran Tomljanović, and Ninoslav Truhar Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM), Vol. 96, Issue 5, pp. 604-619, 2016. DOI: 10.1002/zamm201400158. MPI Magdeburg Preprint MPIMD/14-12, July 2014. [J126] 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, and Klaus Schädlich Production Engineering: Development & Research, Vol. 9, Issue 3, pp. 343-349, 2015. DOI: 10.1007/s11740-015-0608-9. [J125] Low Rank Solution of Unsteady Diffusion Equations with Stochastic Coefficients Peter Benner, Akwum Onwunta, and Martin Stoll SIAM/ASA Journal on Uncertainty Quantification, Vol. 3, No. 1, pp. 622–649, 2015. DOI: 10.1137/130937251. Preliminary version appeared as MPI Magdeburg Preprint MPIMD/13-13, August 2013. [J124] Model Order Reduction for Coupled Problems: Survey Peter Benner and Lihong Feng Applied and Computational Mathematics: An International Journal, Vol. 14, No. 1, pp. 3-22, 2015. Preliminary version appeared as MPI Magdeburg Preprint MPIMD/15-02, February 2015. [J123] Riccati-Based Boundary Feedback Stabilization of Incompressible Navier-Stokes Flow Eberhard Bänsch, Peter Benner, Jens Saak, and Heiko K. Weichelt SIAM Journal on Scientific Computing, Vol. 37, No. 2, pp. A832–A858, 2015. DOI: 10.1137/140980016. [J122] Parametric Model Order Reduction with a Small H2-Error Using Radial Basis Functions Peter Benner, Sara Grundel, Nils Hornung Advances in Computational Mathematics, Vol. 41, Issue 5, pp. 1231-1253, 2015. DOI: 10.1007/s10444-015-9410-7. Preliminary version appeared as MPI Magdeburg Preprint MPIMD/14-01, January 2014. [J121] Nonlinear Model Reduction of a Continuous Fluidized Bed Crystallizer Michael Mangold, Dmytro Khlopov, Stefan Palis, Lihong Feng, Peter Benner, Daniel Binev, and Andreas Seidel-Morgenstern Journal of Computational and Applied Mathematics, Vol. 289, pp. 253-266, 2015. DOI: 10.1016/j.cam.2015.01.028. [J120] Two-Sided Projection Methods for Nonlinear Model Order Reduction Peter Benner and Tobias Breiten SIAM Journal on Scientific Computing, Vol. 37, Issue 2, pp. B239–B260, 2015. DOI: 10.1137/14097255X. Preliminary version appeared as MPI Magdeburg Preprint MPIMD/12-12, June 2012. [J119] Positive Operators and Stable Truncation Peter Benner, Tobias Damm, Martin Redmann, and Yolanda Rocio Rodriguez Cruz Linear Algebra and its Applications, Vol. 498, pp. 74-87, 2016. DOI: 10.1016/j.laa.2014.12.005. Preliminary version appeared as MPI Magdeburg Preprint MPIMD/14-11, July 2014. [J118] Fast and Reliable Noise Estimation for Hyperspectral Subspace Identification Peter Benner, Vedran Novaković, Antonio Plaza, Enrique S. Quintana-Ortí, and Alfredo Remón IEEE Geoscience and Remote Sensing Letters, Vol. 12, Issue 6, pp. 1199-1203, June 2015. DOI: 10.1109/LGRS.2014.2388133. [J117] Uncertainty Quantification for Maxwell's Equations Using Stochastic Collocation and Model Order Reduction Peter Benner and Judith Schneider International Journal for Uncertainty Quantification, Vol. 5, No. 3, pp. 195–208, 2015. DOI: 10.1615/Int.J.UncertaintyQuantification.2015010170. Preliminary version appeared as MPI Magdeburg Preprint MPIMD/13-19, October 2013. [J116] Computing the Eigenvalues of Symmetric H2-Matrices by Slicing the Spectrum Peter Benner, Steffen Börm, Thomas Mach, and Knut Reimer Computing and Visualization in Science, Vol. 16, No. 6, pp. 271-282, published online 4 March 2015. DOI: 10.1007/s00791-015-0238-y. Preliminary version appeared as MPI Magdeburg Preprint MPIMD/14-06, March 2014. [J115] Extending Lyapack for the Solution of Band Lyapunov Equations on Hybrid CPU-GPU Platforms Peter Benner, Ernesto Dufrechou, Pablo Ezzatti, Enrique S. Quintana-Ortí, and Alfredo Remón The Journal of Supercomputing, Vol. 71, No. 2, pp. 740-750, 2015. DOI: 10.1007/s11227-014-1322-7. [J114] Self-Generating and Efficient Shift Parameters in ADI Methods for Large Lyapunov and Sylvester Equations Peter Benner, Patrick Kürschner, and Jens Saak Electronic Transactions on Numerical Analysis, Vol. 43, pp. 142-162, 2014. DOI: 10.17617/2.2071065. Preliminary version appeared as MPI Magdeburg Preprint MPIMD/13-18, October 2013. [J113] Parallel Model Order Reduction of Sparse Electromagnetic/Circuit Models Giovanni De Luca, Giulio Antonini, and Peter Benner ACES Journal, Vol. 30, No. 1, S1-21, January 2015. [J112] Adaptive Discontinuous Galerkin Methods for State Constrained Optimal Control Problems Governed by Convection Diffusion Equations Hamdullah Yücel and Peter Benner Computational Optimization and Applications, Vol. 62, pp. 291-321, 2015. DOI: 10.1007/s10589-014-9691-7. Preliminary version appeared as MPI Magdeburg Preprint MPIMD/13-16, September 2013. [J111] Model Order Reduction for a Family of Linear Systems with Application in Parametric and Uncertain Systems Peter Benner and Sara Grundel Applied Mathematics Letters, Vol. 39, pp. 1-6, 2015. DOI: 10.1016/j.aml.2014.08.002. Preliminary version appeared as MPI Magdeburg Preprint MPIMD/14-05, March 2014. [J110] Rational Interpolation Methods for Symmetric Sylvester Equations Peter Benner and Tobias Breiten Electronic Transactions on Numerical Analysis, Vol. 42, pp. 147-164, 2014. DOI: 10.17617/2.2060858. Preliminary version appeared as MPI Magdeburg Preprint MPIMD/13-23, December 2013. [J109] Model Reduction for Linear Simulated Moving Bed Chromatography Systems Using Krylov-Subspace Methods Suzhou Li, Yao Yue, Lihong Feng, Andreas Seidel-Morgenstern, and Peter Benner AIChE Journal, Vol. 60, No. 11, pp. 3773–3783, 2014. DOI: 10.1002/aic.14561. [J108] Model Order Reduction for Linear and Nonlinear Systems: a System-Theoretic Perspective Peter Benner, Ulrike Baur, and Lihong Feng Archives of Computational Methods in Engineering, Vol. 21, No. 4, pp. 331–358, 2014. DOI: 10.1007/s11831-014-9111-2. Preliminary version appeared as MPI Magdeburg Preprint MPIMD/14-07, March 2014. [J107] Model Order Reduction for Systems with Moving Loads Norman Lang, Jens Saak, and Peter Benner at-Automatisierungstechnik, Vol. 62, No. 7, pp. 512-522, 2014. DOI: 10.1515/auto-2014-1095. [J106] Parametric Model Order Reduction of Thermal Models Using the Bilinear Interpolatory Rational Krylov Algorithm Peter Benner and Angelika Bruns Mathematical and Computer Modelling of Dynamical Systems, Vol. 21, Issue 2, pp. 103-129, 2015. DOI: 10.1080/13873954.2014.924534. The hyperlink to the paper (title link) allows 50 free downloads of the full text. Afterwards, it directs to the paper abstract. [J105] A Reduced Basis Method for Microwave Semiconductor Devices with Geometric Variations Martin W. Hess and Peter Benner COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, Vol. 33, No. 4, pp. 1071-1081, 2014. DOI: 10.1108/COMPEL-12-2012-0377. [J104] A Structured Pseudospectral Method for H∞-Norm Computation of Large-Scale Descriptor Systems Peter Benner and Matthias Voigt Mathematics of Control, Signals, and Systems, Vol. 26, No. 2, pp. 303-338, 2014. DOI: 10.1007/s00498-013-0121-7. Preliminary version appeared as MPI Magdeburg Preprint MPIMD/12-10, May 2012. [J103] Using Surrogate Models for Efficient Optimization of Simulated Moving Bed Chromatography Suzhou Li, Lihong Feng, Peter Benner, and Andreas Seidel-Morgenstern Computers & Chemical Engineering, Vol. 67, pp. 121-132, 2014. DOI: 10.1016/j.compchemeng.2014.03.024. [J102] Numerical Solution of Projected Algebraic Riccati Equations Peter Benner and Tatjana Stykel SIAM Journal on Numerical Analysis, Vol. 52, No. 2, pp. 581-600, 2014. DOI: 10.1137/130923993 Preliminary version appeared as MPI Magdeburg Preprint MPIMD/13-06, May 2013. [J101] Trading Off Performance for Energy in Linear Algebra Operations with Applications in Control Theory Peter Benner, Pablo Ezzatti, Enrique S. Quintana-Ortí, and Alfredo Remón CLEI Electronic Journal, Vol. 17, No. 1, Paper 3 (12 pages), 2014. DOI: 10.17617/2.2060863. [J100] Computing Real Low-Rank Solutions of Sylvester Equations by the Factored ADI Method Peter Benner and Patrick Kürschner Computers and Mathematics with Applications, Vol. 67, Issue 9, pp. 1656–1672, 2014. DOI: 10.1016/j.camwa.2014.03.004 Preliminary version appeared as MPI Magdeburg Preprint MPIMD/13-05, May 2013. [J99] On Optimality of Approximate Low-Rank Solutions of Large-Scale Matrix Equations Peter Benner and Tobias Breiten Systems & Control Letters Vol. 67, pp. 55-64, 2014. DOI: 10.1016/j.sysconle.2014.02.005 Preliminary version appeared as MPI Magdeburg Preprint MPIMD/11-10, December 2011. [J98] Low-Rank Iterative Methods of Periodic Projected Lyapunov Equations and their Application in Model Reduction of Periodic Descriptor Systems Peter Benner, Mohammad-Sahadet Hossain, and Tatjana Stykel Numerical Algorithms, Vol. 67, No. 3, pp. 669–690, 2014. DOI: 10.1007/s11075-013-9816-6 Preliminary version appeared as Chemnitz Scientific Computing Preprints 11-01, TU Chemnitz, February 2011. [J97] Solving Matrix Equations on Multi-Core and Many-Core Architectures Peter Benner, Pablo Ezzatti, Hermann Mena, Enrique S. Quintana-Ortí, and Alfredo Remón Algorithms, Vol. 6, No. 4, pp. 857-870, 2013. DOI: 10.3390/a6040857 Preliminary version appeared as MPI Magdeburg Preprint MPIMD/11-07, October 2011. [J96] On the Squared Smith Method for Large-Scale Stein Equations Peter Benner, Grece El Khoury, and Miloud Sadkane Numerical Linear Algebra with Applications, Vol. 21, Issue 5, pp. 645-665, 2014. DOI: 10.1002/nla.1918 Preliminary version appeared as MPI Magdeburg Preprint MPIMD/12-15, September 2012. [J95] Fast solution of Cahn-Hilliard Variational Inequalities using Implicit Time Discretization and Finite Elements Jessica Bosch, Martin Stoll, and Peter Benner Journal of Computational Physics, Vol. 262, pp. 38-57, 2014. DOI: 10.1016/j.jcp.2013.12.053 Preliminary version appeared as MPI Magdeburg Preprint MPIMD/13-01, January 2013. [J94] A Factored Variant of the Newton Iteration for the Solution of Algebraic Riccati Equations via the Matrix Sign Function Peter Benner, Pablo Ezzatti, Enrique S. Quintana-Ortí, and Alfredo Remón Numerical Algorithms, Vol. 66, No. 2, pp. 363-377, 2014. DOI: 10.1007/s11075-013-9739-2 [J93] Numerical Solution of Large and Sparse Continuous Time Algebraic Matrix Riccati and Lyapunov Equations: A State of the Art Survey Peter Benner and Jens Saak GAMM Mitteilungen, Vol. 36, No. 1, pp. 32-52, 2013. DOI: 10.1002/gamm.201310003 [J92] Discontinuous Galerkin Finite Element Methods with Shock-Capturing for Nonlinear Convection Dominated Models Hamdullah Yücel, Martin Stoll, and Peter Benner Computers & Chemical Engineering, Vol. 58, pp. 278-287, 2013. DOI: 10.1016/j.compchemeng.2013.07.011 Preliminary version appeared as MPI Magdeburg Preprint MPIMD/13-03, January 2013. [J91] Rosenbrock Methods for Solving Differential Riccati Equations Peter Benner and Hermann Mena IEEE Transactions on Automatic Control, Vol. 58, No. 11, pp. 2950-2956, 2013. DOI: 10.1109/TAC.2013.2258495 Preliminary version appeared as MPI Magdeburg Preprint MPIMD/11-06, October 2011. © IEEE. [J90] A Non-Conforming Composite Quadrilateral Finite Element Pair for Feedback Stabilization of the Stokes Equations Peter Benner, Jens Saak, Friedhelm Schieweck, Piotr Skrzypacz, and Heiko K. Weichelt Journal of Numerical Mathematics, Vol. 22, No. 3, pp. 191-220, 2014. DOI: 10.1515/jnma-2014-0009 Preliminary version appeared as MPI Magdeburg Preprint MPIMD/12-19, October 2012. [J89] Fast Evaluation of Time-Harmonic Maxwell's Equations Using the Reduced Basis Method Peter Benner and Martin W. Hess IEEE Transactions on Microwave Theory and Techniques, Vol. 61, No. 6, pp. 2265-2274, 2013. DOI: 10.1109/TMTT.2013.2258167 Preliminary version appeared as MPI Magdeburg Preprint MPIMD/12-17, October 2012. [J88] An Improved Numerical Method for Balanced Truncation for Symmetric Second-Order Systems Peter Benner, Patrick Kürschner, and Jens Saak Mathematical and Computer Modelling of Dynamical Systems, Vol. 19, No. 6, pp. 593-615, 2013. DOI: 10.1080/13873954.2013.794363. Preliminary version appeared as MPI Magdeburg Preprint MPIMD/12-20, November 2012. [J87] Efficient Solution of Large-Scale Saddle Point Systems Arising in Riccati-Based Boundary Feedback Stabilization of Incompressible Stokes Flow Peter Benner, Jens Saak, Martin Stoll and Heiko K. Weichelt SIAM Journal on Scientific Computing, Vol. 35, No. 5, pp. S150-S170, 2013. DOI: 10.1137/120881312. Preliminary version appeared as Preprint SPP1253-130 of the DFG Priority Programme 1253 Optimization with Partial Differential Equations, June 2012. [J86] The LR Cholesky Algorithm for Symmetric Hierarchical Matrices Peter Benner and Thomas Mach Linear Algebra and its Applications, Vol. 439, No. 4, pp. 1150-1166, 2013. DOI: 10.1016/j.laa.2013.03.001. Preliminary version appeared as MPI Magdeburg Preprint MPIMD/12-05, February 2012. [J85] Spectral Characterization and Enforcement of Negative Imaginariness for Descriptor Systems Peter Benner and Matthias Voigt Linear Algebra and its Applications, Vol. 439, No. 4, pp. 1104-1129, 2013. DOI: 10.1016/j.laa.2012.12.044. Preliminary version appeared as MPI Magdeburg Preprint MPIMD/12-09, April 2012. [J84] Low Rank Methods for a Class of Generalized Lyapunov Equations and Related Issues Peter Benner and Tobias Breiten Numerische Mathematik, Vol. 124, No. 3, pp. 441-470, 2013. DOI: 10.1007/s00211-013-0521-0. Preliminary version appeared as MPI Magdeburg Preprint MPIMD/12-03, February 2012. [J83] Subspace Recycling Accelerates the Parametric Macro‐modeling of MEMS Lihong Feng, Peter Benner, and Jan G. Korvink International Journal for Numerical Methods in Engineering, Vol. 94, No. 1, pp. 84-110, 2013. DOI: 10.1002/nme.4449. Preliminary version appeared as Fast Model Reduction of Parametric Systems using Subspace Recycling MPI Magdeburg Preprint MPIMD/12-08, March 2012. [J82] Model Reduction of an Elastic Crankshaft for Elastic Multibody Simulations Christine Nowakowski, Patrick Kürschner, Peter Eberhard, and Peter Benner Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM), Vol. 93, No. 4, pp. 198-216, 2013. DOI: 10.1002/zamm.201200054. Preliminary version appeared as MPI Magdeburg Preprint MPIMD/12-07, March 2012. [J81] Computation of a Compact State Space Model for an Adaptive Spindle Head Configuration with Piezo Actuators using Balanced Truncation M. Monir Uddin, Jens Saak, Burkhard Kranz, and Peter Benner Production Engineering, Vol. 6, No. 6, pp. 577-586, 2012. DOI: 10.1007/s11740-012-0410-x. [J80] Matrix Inversion on CPU-GPU Platforms with Applications in Control Theory Peter Benner, Pablo Ezzatti, Enrique S. Quintana-Ortí, and Alfredo Remón Concurrency and Computation: Practice and Experience, Vol. 25, No. 8, pp. 1170-1182, 2013. DOI: 10.1002/cpe.2933. Preliminary version appeared as MPI Magdeburg Preprint MPIMD/12-02, February 2012. [J79] Interpolation-Based H2-Model Reduction of Bilinear Control Systems Peter Benner and Tobias Breiten SIAM Journal on Matrix Analysis and Applications, Vol. 33, No. 3, pp. 859-885, 2012. DOI: 10.1137/110836742. Preliminary version appeared as MPI Magdeburg Preprint MPIMD/11-02, June 2011. [J78] HPC en simulación y control a gran escala [in Spanish] Peter Benner, Pablo Ezzatti, Hermann Mena, Enrique S. Quintana-Ortí, and Alfredo Remón Revista ELEMENTOS, Vol. 3, No. 3, pp. 9-35, 2013. [J77] Efficient Handling of Complex Shift Parameters in the Low-Rank Cholesky Factor ADI method Peter Benner, Patrick Kürschner, and Jens Saak Numerical Algorithms, Vol. 62, No. 2, pp. 225-251, 2013. DOI: 10.1007/s11075-012-9569-7. Preliminary version appeared as MPI Magdeburg Preprint MPIMD/11-08, October 2011. [J76] A Mathematical Biography of Danny C. Sorensen Peter Benner, Mark Embree, Richard B. Lehoucq, and C.T. Kelley Linear Algebra and its Applications, Vol. 436, Issue 8, pp. 2717-2724, 2012. DOI: 10.1016/j.laa.2012.01.031. [J75] The Preconditioned Inverse Iteration for Hierarchical Matrices Peter Benner and Thomas Mach Numerical Linear Algebra with Applications, Vol. 20, No. 1, pp. 150-166, 2013. DOI: 10.1002/nla.1830. Preliminary version appeared as MPI Magdeburg Preprint MPIMD/11-01, February 2011. [J74] Optimal Damping of Selected Eigenfrequencies Using Dimension Reduction Peter Benner, Zoran Tomljanović, and Ninoslav Truhar Numerical Linear Algebra with Applications, Vol. 20, No. 1, pp. 1-17, 2013. DOI: 10.1002/nla.833. Preliminary version appeared as Preprint 1/2011, Department of Mathematics, J. J. Strossmayer University of Osijek, March 2011. [J73] Computing All or Some Eigenvalues of Symmetric ℋℓ-Matrices Peter Benner and Thomas Mach SIAM Journal on Scientific Computing, Vol. 34, Issue 1, pp. A485-A496, 2012. DOI: 10.1137/100815323. Preliminary version appeared as MPI Magdeburg Preprint MPIMD/10-01, November 2010. [J72] L∞-Norm Computation for Continuous-Time Descriptor Systems Using Structured Matrix Pencils Peter Benner, Vasile Sima, and Matthias Voigt IEEE Transactions on Automatic Control, Vol. 57, No. 1, pp. 233-238, 2012. DOI: 10.1109/TAC.2011.2161833. [J71] Interpolatory Projection Methods for Parameterized Model Reduction Ulrike Baur, Christopher Beattie, Peter Benner, and Serkan Gugercin SIAM Journal on Scientific Computing, Vol. 33, Issue 5, pp. 2489-2518, 2011. DOI: 10.1137/090776925. Preliminary version appeared as Chemnitz Scientific Computing Preprints 09-08, TU Chemnitz, November 2009. [J70] Generalized Tangential Interpolation for Model Reduction of Discrete-Time MIMO Bilinear Systems Peter Benner, Tobias Breiten, and Tobias Damm International Journal of Control, Vol. 84, No. 8 pp. 1398-1407, 2011. DOI: 10.1080/00207179.2011.601761. Preliminary version appeared as MPI Magdeburg Preprint MPIMD/10-02, December 2010. [J69] Robust Formulas for Optimal H∞ Controllers Peter Benner, Ralph Byers, Philip Losse, Volker Mehrmann, and Hongguo Xu Automatica, Vol. 47, No. 12, pp. 2639-2646, 2011. DOI: 10.1016/j.automatica.2011.09.013. Preliminary version appeared as Preprint 20-2010, Preprint series of the Institute of Mathematics, Technische Universität Berlin, September 2010. [J68] Lyapunov Equations, Energy Functionals, and Model Order Reduction of Bilinear and Stochastic Systems Peter Benner and Tobias Damm SIAM Journal on Control and Optimization, Vol. 49, No. 2, pp. 686-711, 2011. DOI: 10.1137/09075041X. [J67] A Mixed-Precision Algorithm for the Solution of Lyapunov Equations on Hybrid CPU-GPU Platforms Peter Benner, Pablo Ezzatti, Daniel Kressner, Enrique S. Quintana-Ortí, and Alfredo Remón Parallel Computing, Vol. 37, Issue 8, pp. 439–450, 2011. DOI: 10.1016/j.parco.2010.12.002. Preliminary version appeared as Research Report No. 2009-40, Seminar für Angewandte Mathematik, ETH Zürich, December 2009. [J66] Efficient Balancing-Based MOR for Large-Scale Second-Order Systems Peter Benner and Jens Saak Mathematical and Computer Modelling of Dynamical Systems, Vol. 17, No. 2, pp. 123-143, 2011. Author Posting. (c) Taylor & Francis, 2011. This is the author's version of the work. It is posted here by permission of Taylor & Francis for personal use, not for redistribution. The definitive version was published in January 2011. DOI: 10.1080/13873954.2010.540822. [J65] Dimension Reduction for Damping Optimization in Linear Vibrating Systems Peter Benner, Zoran Tomljanović, and Ninoslav Truhar Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM), Vol. 91, No. 3, pp. 179–191, 2011. Editor's choice of this ZAMM issue! DOI: 10.1002/zamm.201000077. Preliminary version appeared as Preprint 2/2010, Department of Mathematics, J. J. Strossmayer University of Osijek, April 2010. [J64] On the Numerical Solution of Large-Scale Sparse Discrete-Time Riccati Equations Peter Benner and Heike Faßbender Advances in Computational Mathematics, Vol. 35, No. 2-4, pp. 119-147, 2011. DOI: 10.1007/s10444-011-9174-7. Preliminary version appeared as Chemnitz Scientific Computing Preprints 09-11, TU Chemnitz, December 2009. [J63] Parameter Preserving Model Order Reduction for MEMS Applications Ulrike Baur, Peter Benner, Andreas Greiner, Jan G. Korvink, Jan Lienemann, and Christian Moosmann Mathematical and Computer Modelling of Dynamical Systems, Vol. 17, No. 4, pp. 297-317, 2011. DOI: 10.1080/13873954.2011.547658. [J62] A Hamiltonian Krylov-Schur-type method based on the symplectic Lanczos process Peter Benner, Heike Faßbender, and Martin Stoll Linear Algebra and its Applications, Vol. 435, Issue 3, pp. 578-600, 2011. DOI: 10.1016/j.laa.2010.04.048. Preliminary version appeared as OCCAM Report Number 09/32, Oxford Centre for Collaborative Applied Mathematics, July 2009. [J61] On the QR Decomposition of H-Matrices. Peter Benner and Thomas Mach Computing, Vol. 88, No. 3-4, pp. 111-129, 2010. DOI: 10.1007/s00607-010-0087-y. See also Chemnitz Scientific Computing Preprints09-04, TU Chemnitz, July 2009. [J60] Die SLICOT-Toolboxen für Matlab (The SLICOT-Toolboxes for Matlab) [German] Peter Benner, Daniel Kressner, Vasile Sima, and Andras Varga at-Automatisierungstechnik, Vol. 58, Issue 1, pp. 15-25, 2010. DOI: 10.1524/auto.2010.0814. For an English version, see The SLICOT Toolboxes - a Survey, SLICOT Working Note 2009-1, August 2009. [J59] Modale versus moderne Ordnungsreduktionsverfahren: Effiziente Simulation von Werkzeugmaschinen [German] Thomas Bonin, Michael Zäh, Andreas Soppa, Heike Faßbender, Jens Saak, and Peter Benner MECHATRONIK, Vol. 11-12/2009, pp. 46-47, 2009. [J58] On the ADI Method for Sylvester Equations Peter Benner, Reng-Cang Li, and Ninoslav Truhar Journal of Computational and Applied Mathematics, Vol. 233, No. 4, pp. 1035-1045, 2009. DOI: 10.1016/j.cam.2009.08.108. [J57] Model Reduction for Parametric Systems Using Balanced Truncation and Interpolation [German] Ulrike Baur and Peter Benner at-Automatisierungstechnik Vol. 57, No. 8, pp. 411-419, 2009. DOI: 10.1524/auto.2009.0787. [J56] A Rational SHIRA Method for the Hamiltonian Eigenvalue Problem Peter Benner and Cedric Effenberger Taiwanese Journal of Mathematics, Vol. 14, No. 3A, pp. 805-823, 2010. See also Chemnitz Scientific Computing Preprints 08-08, TU Chemnitz, December 2008. [J55] Solving Large-Scale Quadratic Eigenvalue Problems with Hamiltonian Eigenstructure using a Structure-Preserving Krylov Subspace Method Peter Benner, Heike Faßbender, and Martin Stoll Electronic Transactions on Numerical Analysis, Vol. 29, pp. 212-229, 2008. See also Numerical Analysis Group Research Report NA-07/03, Oxford University, February 2007. [J54] Cross-Gramian Based Model Reduction for Data-Sparse Systems Ulrike Baur and Peter Benner Electronic Transactions on Numerical Analysis, Vol. 31, pp. 256-270, 2008. [J53] Numerical Solution of Large Lyapunov Equations, Riccati Equations, and Linear-Quadratic Control Problems Peter Benner, Jing-Rebecca Li, and Thilo Penzl Numerical Linear Algebra with Applications, Vol. 15, No. 9, pp. 755-777, 2008. DOI: 10.1002/nla.622 [J52] Gramian-Based Model Reduction for Data-Sparse Systems Ulrike Baur and Peter Benner SIAM Journal on Scientific Computing, Vol. 31, No. 1, pp. 776-798, 2008. DOI: 10.1137/070711578 See also Chemnitz Scientific Computing Preprints 07-01, TU Chemnitz, February 2007. [J51] Solving Linear-Quadratic Optimal Control Problems on Parallel Computers Peter Benner, Enrique S. Quintana-Ortí, and Gregorio Quintana-Ortí Optimization Methods and Software, Vol. 23, No. 6, pp. 879-909, 2008. DOI: 10.1080/10556780802058721 See also: Preprint SFB393/05-19, Sonderforschungsbereich 393 - Numerische Simulation auf massiv parallelen Rechnern, TU Chemnitz, March 2006. [J50] On the Parameter Selection Problem in the Newton-ADI Iteration for Large-Scale Riccati Equations Peter Benner, Hermann Mena, and Jens Saak Electronic Transactions on Numerical Analysis, Vol. 29, pp. 136-149, 2008. [J49] Efficient Algorithms for Generalized Algebraic Bernoulli Equations based on the Matrix Sign Function Sergio Barrachina, Peter Benner, and Enrique S. Quintana-Ortí Numerical Algorithms, Vol. 46, No. 4, pp. 351-368, 2007. DOI: 10.1007/s11075-007-9143-x Partially extracted from [TR15]. [J48] A Robust Numerical Method for the $\gamma$-Iteration in $H_\infty$ Control Peter Benner, Ralph Byers, Volker Mehrmann, and Hongguo Xu Linear Algebra and its Applications, Vol. 425, No. 2-3, pp. 548-570, 2007. DOI: 10.1016/j.laa.2007.03.026 Revised version of [TR13]. [J47] On the Solution of the Rational Matrix Equation X = Q + LX^{-1}L^T Peter Benner and Heike Faßbender EURASIP Journal on Advances in Signal Processing, special issue on "Numerical Linear Algebra in Signal Processing Application", Vol. 2007, Article ID 21850, 10 pages, 2007. DOI: 10.1155/2007/21850 See also: Chemnitz Scientific Computing Preprints 06-02, TU Chemnitz, September 2006. [J46] Factorized Solution of Lyapunov Equations Based on Hierarchical Matrix Arithmetic Ulrike Baur and Peter Benner Computing, Vol. 78, No. 3, pp. 211-234, 2006. DOI: 10.1007/s00607-006-0178-y [J45] Stabilizing Large-Scale Generalized Systems on Parallel Computers Using Multithreading and Message-Passing Peter Benner, Maribel Castillo, Rafael Mayo, Enrique S. Quintana-Ortí, and Gregorio Quintana-Ortí Concurrency and Computation: Practice and Experience, Vol. 19, No. 4, pp. 531-542, 2007. DOI: 10.1002/cpe.1148 [J44] Partial Realization of Descriptor Systems Peter Benner and Viatcheslav I. Sokolov Systems & Control Letters, Vol. 55, Issue 11, pp. 929-938, 2006. DOI: 10.1016/j.sysconle.2006.06.009 [J43] Evaluation of the Linear Matrix Equation Solvers in SLICOT Martin Slowik, Peter Benner, and Vasile Sima Journal of Numerical Analysis, Industrial and Applied Mathematics, Vol. 2, No. 1-2, pp. 11-34, 2007. Extendend version appeared as SLICOT Working Note 2004-1, August 2004. [J42] An Arithmetic for Matrix Pencils: Theory and New Algorithms Peter Benner and Ralph Byers Numerische Mathematik, Vol. 103, No. 4, pp. 539-573, 2006. DOI: 10.1007/s00211-006-0001-x [J41] Numerische Methoden zur passivitätserhaltenden Modellreduktion (Numerical Methods for Passivity Preserving Model Reduction) (in German) Peter Benner and Heike Faßbender at-Automatisierungstechnik, Vol. 54, No. 4, pp. 153-160, 2006. DOI: 10.1524/auto.2006.54.4.153 [J40] Numerical Linear Algebra for Model Reduction in Control and Simulation Peter Benner GAMM Mitteilungen, Vol. 29, No. 2, pp. 275-296, 2006. DOI: 10.1002/gamm.201490034 See also Preprint 18/2005, Fakultät für Mathematik, TU Chemnitz. [J39] Parallel Solution of Large-Scale Algebraic Bernoulli Equations with the Matrix Sign Function Method Sergio Barrachina, Peter Benner, and Enrique S. Quintana-Ortí International Journal of Computational Science and Engineering, Vol. 4, No. 2, pp. 88-93, 2009. DOI: 10.1504/IJCSE.2009.027000 Extended version of [CA45]. [J38] Algorithm 854: Fortran 77 Subroutines for Computing the Eigenvalues of Hamiltonian Matrices Peter Benner and Daniel Kressner ACM Transactions on Mathematical Software, Vol. 32, No. 2, pp. 352-373, 2006. DOI: 10.1145/1141885.1141895 For the corresponding software visit the HAPACK homepage. [J37] Solving Stable Sylvester Equations via Rational Iterative Schemes Peter Benner, Enrique S. Quintana-Ortí, and Gregorio Quintana-Ortí Journal of Scientific Computing, Vol. 28, No. 1, pp. 51-83, 2006. DOI: 10.1007/s10915-005-9007-2 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. [J36] Balancing Sparse Hamiltonian Eigenproblems Peter Benner and Daniel Kressner Linear Algebra and its Applications, Vol. 415, Issue 1, pp. 3-19, 2006. Original available from ScienceDirect, DOI: 10.1016/j.laa.2004.09.023 [J35] Partial Stabilization of Large-Scale Discrete-Time Linear Control Systems Peter Benner, Maribel Castillo, and Enrique S. Quintana-Ortí International Journal of Computational Science and Engineering, Vol. 1, No. 1, pp. 15-21, 2005. DOI: 10.1504/IJCSE.2005.008907 See also [CA19] [J34] Solving Large-Scale Control Problems Peter Benner IEEE Control Systems Magazine, Vol. 24, No. 1, pp. 44-59, 2004. DOI: 10.1109/MCS.2004.1272745 [J33] Parallel Algorithms for Model Reduction of Discrete-Time Systems Peter Benner, Enrique S. Quintana-Ortí, and Gregorio Quintana-Ortí International Journal of System Sciences, Vol. 34, No. 5, pp. 319-333, 2003. DOI: 10.1080/0020772031000158564 The retrievable version appeared as Berichte aus der Technomathematik, Report 00-18, December 2000. [J32] State-Space Truncation Methods for Parallel Model Reduction of Large-Scale Systems Peter Benner, Enrique S. Quintana-Ortí, and Gregorio Quintana-Ortí Parallel Computing, Vol. 29 (special issue on "Parallel and Distributed Scientific and Engineering Computing"), Issue 11-12, pp. 1701-1722, 2003. DOI: 10.1016/j.parco.2003.05.013 [J31] Structure Preservation: A Challenge in Computational Control Peter Benner, Daniel Kressner, and Volker Mehrmann Future Generation Computer Systems, Vol. 19, Issue 7, pp. 1243-1252, 2003. DOI: 10.1016/S0167-739X(03)00049-9 [J30] The Kleinman Iteration for Nonstabilizable Systems Peter Benner, Vicente Hernández, and Antonio Pastor Mathematics of Control, Signals, and Systems , Vol. 16, Issue 1,pp. 76-93, 2003. DOI: 10.1007/s00498-003-0130-z The retrievable version appeared as Berichte aus der Technomathematik, Report 99-11, October 1999. [J29] Numerical Solution of Discrete Stable Linear Matrix Equations on Multicomputers Peter Benner, Enrique S. Quintana-Ortí, and Gregorio Quintana-Ortí Parallel Algorithms and Applications (since 2005: International Journal of Parallel, Emergent and Distributed Systems) Vol. 17, No. 2, pp. 127-146, 2002. DOI: 10.1080/10637190208941436 Free preprint available at Berichte aus der Technomathematik, Report 99-13, November 1999. [J28] Numerical Computation of Deflating Subspaces of Skew-Hamiltonian/Hamiltonian Pencils Peter Benner, Ralph Byers, Volker Mehrmann, and Hongguo Xu SIAM Journal on Matrix Analysis and Applications, Vol. 24, No. 1, pp. 165-190, 2002. DOI: 10.1137/S0895479800367439 For an extended version, including detailed algorithms, see [TR10] . [J27] Parallel Algorithms for LQ Optimal Control of Discrete-Time Periodic Linear Systems Peter Benner, Ralph Byers, Rafael Mayo, Enrique S. Quintana-Ortí, and Vicente Hernández Journal of Parallel and Distributed Computing, Vol. 62, Issue 2, pp. 306-325, 2002. DOI: 10.1006/jpdc.2001.1790 The retrievable version appeared as Berichte aus der Technomathematik, Report 01-02, February 2001. [J26] Efficient Numerical Algorithms for Balanced Stochastic Truncation Peter Benner, Enrique S. Quintana-Ortí, and Gregorio Quintana-Ortí International Journal of Applied Mathematics and Computer Science, Vol. 11, No. 5, pp. 1123-1150, 2001. The retrievable version appeared as Berichte aus der Technomathematik, Report 01-03, March 2001. [J25] Perturbation Analysis for the Eigenvalue Problem of a Formal Product of Matrices Peter Benner, Volker Mehrmann, and Hongguo Xu BIT, Vol. 42, No. 1, pp. 1-43, 2002. DOI: 10.1023/A:1021966001542 The retrievable version appeared as Berichte aus der Technomathematik, Report 00-01, January 2000. [J24] A Hybrid Method for the Numerical Solution of Discrete-Time Algebraic Riccati Equations Peter Benner and Heike Faßbender Contemporary Mathematics, Vol. 280, pp. 255-269, 2001. The retrievable version appeared as Berichte aus der Technomathematik, Report 99-12, October 1999. [J23] Cholesky-like Factorizations of Skew-Symmetric Matrices Peter Benner, Ralph Byers, Heike Faßbender, Volker Mehrmann, and David S. Watkins Electronic Transactions on Numerical Analysis, Vol. 11, pp. 85-93, 2000. [J22] Symplectic Balancing of Hamiltonian Matrices Peter Benner SIAM Journal on Scientific Computing, Vol. 22, No. 5, pp. 1885-1904, 2001. DOI: 10.1137/S1064827500367993 [J21] Evaluating Products of Matrix Pencils and Collapsing Matrix Products Peter Benner and Ralph Byers Numerical Linear Algebra with Applications, Vol. 8, No. 6-7, pp. 357-380, 2001. DOI: 10.1002/nla.251 [J20] Balanced Truncation Model Reduction of Large-Scale Dense Systems on Parallel Computers Peter Benner, Enrique S. Quintana-Ortí, and Gregorio Quintana-Ortí Mathematical and Computer Modelling of Dynamical Systems, Vol. 6, No.4, pp. 383-405, 2000. DOI: 10.1076/mcmd.6.4.383.3658 The retrievable version appeared as Berichte aus der Technomathematik, Report 99-07, September 1999. [J19] An Implicitly Restarted Symplectic Lanczos Method for the Symplectic Eigenvalue Problem Peter Benner and Heike Faßbender SIAM Journal on Matrix Analysis and Applications, Vol. 22, No. 3, pp. 682-713, 2001. DOI: 10.1137/S0895479898343115 Retrieve preprint: Berichte aus der Technomathematik, Report 98-01, July 1998. [J18] Algorithm 800: Fortran 77 Subroutines for Computing the Eigenvalues of Hamiltonian Matrices I: The Square-Reduced Method Peter Benner, Ralph Byers, and Eric Barth ACM Transactions on Mathematical Software, Vol. 26, No. 1, pp. 49-77, 2000. DOI: 10.1145/347837.347852 For the corresponding software, click here (shell script, compressed using gzip). See also: [TR5] and Peter Benner's software. [J17] Solving Algebraic Riccati Equations on Parallel Computers Using Newton's Method with Exact Line Search Peter Benner, Ralph Byers, Enrique S. Quintana-Ortí, and Gregorio Quintana-Ortí Parallel Computing, Vol. 26, No. 10, pp. 1345-1368, 2000. DOI: 10.1016/S0167-8191(00)00012-0 The retrievable version appeared as Berichte aus der Technomathematik, Report 98-05, August 1998. [J16] A Note on the Numerical Solution of Complex Hamiltonian and Skew-Hamiltonian Eigenvalue Problems Peter Benner, Volker Mehrmann, and Hongguo Xu Electronic Transactions on Numerical Analysis, Vol. 8, pp. 115-126, 1999. [J15] Solving Stable Generalized Lyapunov Equations with the Matrix Sign Function Peter Benner and Enrique S. Quintana-Ortí Numerical Algorithms, Vol. 20, No. 1, pp. 75-100, 1999. DOI: 10.1023/A:1019191431273 Preliminary version appeared as Preprint SFB393/97-23, Sonderforschungsbereich 393 - Numerische Simulation auf massiv parallelen Rechnern, TU Chemnitz, October 1997. [J14] Parallel Partial Stabilizing Algorithms for Large Linear Control Systems Peter Benner, Maribel Castillo, Enrique S. Quintana-Ortí, and Vicente Hernández The Journal of Supercomputing, Vol. 15, Issue 2, pp. 193-206, 2000. DOI: 10.1023/A:1008108004247 The retrievable version appeared as Berichte aus der Technomathematik, Report 98-03, July 1998. [J13] Parallel Distributed Solvers for Large Stable Generalized Lyapunov Equations Peter Benner, José M. Claver, and Enrique S. Quintana-Ortí DOI: 10.1142/S0129626499000165 Parallel Processing Letters, Vol. 9, No. 1, pp. 147-158, 1999. [J12] SR and SZ Algorithms for the Symplectic (Butterfly) Eigenproblem Peter Benner, Heike Faßbender, and David S. Watkins Linear Algebra and its Applications, Vol. 287, Issue 1-3, pp. 41-76, 1999. DOI: 10.1016/S0024-3795(98)10090-3 [J11] SLICOT - A Subroutine Library in Systems and Control Theory Peter Benner, Volker Mehrmann, Vasile Sima, Sabine Van Huffel, and Andras Varga Applied and Computational Control, Signals, and Circuits, Vol. 1, pp. 505-546, 1999. The retrievable version appeared as NICONET Report 97-03, Working Group on Software, June 1997. [J10] Computational Methods for Linear-Quadratic Optimization Peter Benner Rendiconti del Circolo Matematico di Palermo, Supplemento, Serie II, No. 58, pp. 21-56, 1999. Extendend version appeared as Berichte aus der Technomathematik, Report 98-04, August 1998. [J9] The Symplectic Eigenvalue Problem, the Butterfly Form, the SR Algorithm, and the Lanczos Method Peter Benner and Heike Faßbender Linear Algebra and its Applications, Vol. 275/276, pp. 19-47, 1998. DOI: 10.1016/S0024-3795(97)10049-0 [J8] A Numerically Stable, Structure Preserving Method for Computing the Eigenvalues of Real Hamiltonian or Symplectic Pencils Peter Benner, Volker Mehrmann, and Hongguo Xu Numerische Mathematik, Vol. 78, No. 3, pp. 329-358, 1998. DOI: 10.1007/s002110050315 [J7] An Exact Line Search Method for Solving Generalized Continuous-Time Algebraic Riccati Equations Peter Benner and Ralph Byers IEEE Transactions on Automatic Control, Vol. 43, No. 1, pp. 101-107, 1998. See also: [TR3] . [J6] Two Connections between the SR and HR Eigenvalue Algorithms Peter Benner, Heike Faßbender, and David S. Watkins Linear Algebra and its Applications, Vol. 272, Issue 1-3, pp. 17-32, 1998. DOI: 10.1016/S0024-3795(97)00279-6 [J5] A New Method for Computing the Stable Invariant Subspace of a Real Hamiltonian Matrix Peter Benner, Volker Mehrmann and Hongguo Xu Journal of Computational and Applied Mathematics, Vol. 86, Issue 1, pp. 17-43, 1997. DOI: 10.1016/S0377-0427(97)00146-5 [J4] NICONET, a Network for Numerically Reliable Software in CACSD Ad J.W. van den Boom, Sabine Van Huffel, and Peter Benner Journal A - Benelux Quarterly Journal on Automatic Control, Vol. 38, No. 3, pp. 20-21, 1997. [J3] Benchmarks for the Numerical Solution of Algebraic Riccati Equations Peter Benner, Alan J. Laub, and Volker Mehrmann IEEE Control Systems Magazine, Vol. 17, No. 5, pp. 18-28, 1997. DOI: 10.1109/37.621466 See also: [TR1], [TR2] [J2] An Implicitly Restarted Symplectic Lanczos Method for the Hamiltonian Eigenvalue Problem Peter Benner and Heike Faßbender Linear Algebra and its Applications, Vol. 263, pp. 75-111, 1997. DOI: 10.1016/S0024-3795(96)00524-1 See also: [TR4] [J1] A Multishift Algorithm for the Numerical Solution of Algebraic Riccati Equations Gregory Ammar, Peter Benner, and Volker Mehrmann Electronic Transactions on Numerical Analysis, Vol. 1, pp. 33-48, 1993.

## Book chapters

 [BC34] GPU Accelerated and Storage-Efficient Implementation of the QR Decomposition Peter Benner, Martin Köhler, and Carolin Penke In S. Bassini, M. Danelutto, P. Dazzi, G. R. Joubert, F. Peters (Eds.), Parallel Computing is Everywhere, Vol. 32, pp. 329-338, 2018 DOI: 10.3233/978-1-61499-843-3-329 [BC33] A Direct Index 1 DAE Model of Gas Networks Peter Benner, Maike Braukmüller, and Sara Grundel In W. Keiper, A. Milde, S. Volkwein (Eds.), Reduced-Order Modeling (ROM) for Simulation and Optimization, pp. 99-119, 2018. DOI: 10.1007/978-3-319-75319-5_5 [BC32] An Iterative Model Reduction Scheme for Quadratic-Bilinear Descriptor Systems with an Application to Navier-Stokes Equations Peter Benner and Pawan Goyal In W. Keiper, A. Milde, S. Volkwein (Eds.), Reduced-Order Modeling (ROM) for Simulation and Optimization, pp. 1-19, 2018. DOI: 10.1007/978-3-319-75319-5_1 Preliminary version appeared as arXiv Preprint arXiv:1705.00934, April 2017. [BC31] Reduced Representation of Power Grid Models Peter Benner and André Schneider In P. Benner (Ed.), System Reduction for Nanoscale IC Design, Mathematics in Industry, Vol. 20, pp. 87-134, Springer International Publishing, Cham. 2017. DOI: 10.1007/978-3-319-07236-4_3 [BC30] Comparison of Methods for Parametric Model Order Reduction of Unsteady Problems Ulrike Baur, Peter Benner, Bernard Haasdonk, Christian Himpe, Immanuel Maier, and Mario Ohlberger In P. Benner, A. Cohen, M. Ohlberger, K. Willcox (Eds.), Model Reduction and Approximation: Theory and Algorithms, Chapter 9, pp. 377-407, SIAM Publications, Philadelphia, PA, 2017. DOI: 10.1137/1.9781611974829.ch9 Preliminary version appeared as MPI Magdeburg Preprint MPIMD/15-01, February 2015. [BC29] Model Order Reduction Based on System Balancing Peter Benner and Tobias Breiten In P. Benner, A. Cohen, M. Ohlberger, K. Willcox (Eds.), Model Reduction and Approximation: Theory and Algorithms, Chapter 6, pp. 261-295, SIAM Publications, Philadelphia, PA, 2017. DOI: 10.1137/1.9781611974829 [BC28] Truncated Gramians for Bilinear Systems and their Advantages in Model Order Reduction Peter Benner, Pawan Goyal, and Martin Redmann In P. Benner, M. Ohlberger, T. Patera, G. Rozza, K. Urban (Eds.), Model Reduction of Parametrized Systems, MS&A - Modeling, Simulation and Applications, Springer International Publishing, Cham, Vol. 17, pp. 285-300, 2017. DOI: 10.1007/978-3-319-58786-8_18 [BC27] Reduced Basis Approximations for Maxwell’s Equations in Dispersive Media Peter Benner and Martin W. Hess In P. Benner, M. Ohlberger, T. Patera, G. Rozza, K. Urban (Eds.), Model Reduction of Parametrized Systems, MS&A - Modeling, Simulation and Applications, Springer International Publishing, Cham, Vol. 17, pp. 107-119, 2017. DOI: 10.1007/978-3-319-58786-8_7 [BC26] Model Order Reduction for Differential-Algebraic Equations: a Survey Peter Benner and Tatjana Stykel In A. Ilchmann, T. Reis (Eds.), Surveys in Differential-Algebraic Equations IV, Differential-Algebraic Equations Forum, Springer International Publishing, pp. 107-160, 2017. DOI: 10.1007/978-3-319-46618-7_3 A preliminary version is available as MPI Magdeburg Preprint MPIMD/15-19, November 2015. [BC25] Theory and Numerical Solution of Differential and Algebraic Riccati Equations Peter Benner In P. Benner, M. Bollhöfer, D. Kressner, Ch. Mehl, and T. Stykel (Eds.), Numerical Algebra, Matrix Theory, Differential-Algebraic Equations and Control Theory, Part I, pp. 67-105, Springer International Publishing, 2015. DOI: 10.1007/978-3-319-15260-8_4 [BC24] Numerical Linear Algebra Methods for Linear Differential-Algebraic Equations Peter Benner, Philip Losse, Volker Mehrmann, and Matthias Voigt In A. Ilchmann, T. Reis (Eds.), Surveys in Differential-Algebraic Equations III, pp. 117-175, Differential-Algebraic Equations Forum, Springer International Publishing, 2015. DOI: 10.1007/978-3-319-22428-2_3 A preliminary version with slightly different focus is available as Preprint [TR26] [BC23] Matrix Equations and Model Reduction Peter Benner, Tobias Breiten, and Lihong Feng In Z. Bai, W. Gao, and Y. Su (Eds.), Matrix Functions and Matrix Equations, Series in Contemporary Applied Mathematics, Chapter 3, pp. 50-75, World Scientific, 2015. DOI: 10.1142/9789814675772_0003 [BC22] Model Order Reduction for Thermo-Elastic Assembly Group Models Peter Benner, Norman Lang, and Jens Saak In K. Großmann (Eds.), Thermo-energetic Design of Machine Tools, Lecture Notes in Production Engineering, Chapter 8/pp.85-93, Springer International Publishing, 2015. [ISBN: 978-3-319-12624-1] DOI: 10.1007/978-3-319-12625-8_8 [BC21] LQG-Balanced Truncation Low-Order Controller for Stabilization of Laminar Flows Peter Benner and Jan Heiland In R. King (Ed.), Active Flow and Combustion Control 2014, Notes on Numerical Fluid Mechanics and Multidisciplinary Design, Vol. 127, pp. 365-379, Springer International Publishing, 2015. [ISBN: 978-3-319-11966-3] DOI: 10.1007/978-3-319-11967-0_22 Preliminary version appeared as MPI Magdeburg Preprint MPIMD/14-04, March 2014. [BC20] 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, and Peter Benner In S. Schöps, A. Bartel, M. Günther, E. J. W. ter Maten, and P. C. Müller (Eds.), Progress in Differential-Algebraic Equations, Differential-Algebraic Equations Forum, pp. 183-205, Springer-Verlag, Berlin/Heidelberg, 2014. [ISBN: 978-3-662-44925-7] DOI: 10.1007/978-3-662-44926-4_9 Preliminary version appeared as MPI Magdeburg Preprint MPIMD/13-09, June 2013. [BC19] Model Order Reduction: Techniques and Tools Peter Benner and Heike Faßbender In J. Baillieul and T. Samad (Eds.), Encyclopedia of Systems and Control, Springer-Verlag, pp. 722-729, 2015. [ISBN: 978-1-4471-5057-2] DOI: 10.1007/978-1-4471-5058-9_142 [BC18] Model Reduction Peter Benner In N. J. Higham et al. (Eds.), Princeton Companion to Applied Mathematics, Princeton University Press, Princeton, NJ., Part II-26, pp. 117-119, 2015. [BC17] Model Order Reduction for PDE Constrained Optimization Peter Benner, Ekkehard Sachs, and Stefan Volkwein In G. Leugering, P. Benner, S. Engell, A. Griewank, H. Harbrecht, M. Hinze, R. Rannacher, and S. Ulbrich (Eds.), Trends in PDE Constrained Optimization, International Series of Numerical Mathematics, Vol. 165, pp. 303-326, Birkhäuser, Basel, 2014. [ISBN: 978-3-319-05082-9] DOI: 10.1007/978-3-319-05083-6_19 [BC16] Optimal Control-Based Feedback Stabilization of Multi-Field Flow Problems Eberhard Bänsch, Peter Benner, Jens Saak, and Heiko K. Weichelt In G. Leugering, P. Benner, S. Engell, A. Griewank, H. Harbrecht, M. Hinze, R. Rannacher, and S. Ulbrich (Eds.), Trends in PDE Constrained Optimization, International Series of Numerical Mathematics, Vol. 165, pp. 173-188, Birkhäuser, Basel, 2014. [ISBN: 978-3-319-05082-9] DOI: 10.1007/978-3-319-05083-6_11 [BC15] A Robust Algorithm for Parametric Model Order Reduction Based on Implicit Moment Matching Peter Benner and Lihong Feng In A. Quarteroni and G. Rozza (Eds.), Reduced Order Methods for Modeling and Computational Reduction, MS&A - Modeling, Simulation and Applications, Vol. 9, pp. 159-185, Springer International Publishing, 2014. [ISBN: 978-1-4614-7550-7] DOI: 10.1007/978-3-319-02090-7_6 [BC14] Control Theory Peter Benner In Leslie Hogben (Ed.), Handbook of Linear Algebra, Second Edition, Chapter 80, Chapman & Hall/CRC, 2014. [ISBN: 978-1-4665-0728-9] Updated and revised version of BC8. [BC13] Computing Surrogates for Gas Network Simulation using Model Order Reduction Sara Grundel, Nils Hornung, Bernhard Klaassen, Peter Benner, and Tanja Clees In S. Koziel and L. Leifsson (Eds.), Surrogate-Based Modeling and Optimization, pp. 189-212, Springer-Verlag, 2013. [ISBN: 978-1-4614-7550-7] DOI: 10.1007/978-1-4614-7551-4_9 [BC12] Unleashing CPU-GPU Acceleration for Control Theory Applications Peter Benner, Pablo Ezzatti, Enrique S. Quintana-Ortí, and Alfredo Remón In I. Caragiannis et al. (Eds.), Euro-Par 2012, Parallel Processing Workshops., Lecture Notes in Computer Science, Vol. 7640, pp. 102-111, Springer-Verlag, Berlin/Heidelberg, 2013. [ISBN: 978-3-642-36948-3] DOI: 10.1007/978-3-642-36949-0_13 [BC11] System-Level Modeling of MEMS by Means of Model Order Reduction (Mathematical Approximations) - Mathematical Background Lihong Feng, Peter Benner, and Jan G. Korvink In T. Bechthold, G. Schrag, and L. Feng (Eds.), System-Level Modeling of MEMS, Advanced Micro & Nanosystems, Vol. 10, pp. 53-93, Wiley-VCH Verlag, Weinheim, Germany, 2013. [ISBN-13: 978-3-5273-1903-9] DOI: 10.1002/9783527647132.ch3 [BC10] Stabilization of Incompressible Flow Problems by Riccati-Based Feedback Eberhard Bänsch and Peter Benner In G. Leugering, S. Engell, A. Griewank, M. Hinze, R. Rannacher, V. Schulz, M. Ulbrich, and S. Ulbrich (Eds.), Constrained Optimization and Optimal Control for Partial Differential Equations, International Series of Numerical Mathematics, Vol. 160, pp. 5-20, Birkhäuser, Basel, 2012. DOI: 10.1007/978-3-0348-0133-1 [BC9] Partial Stabilization of Descriptor Systems Using Spectral Projectors Peter Benner In P. Van Dooren, S. Bhattacharyya, R. Chan, V. Olshevsky, and A. Routray (Eds.), Numerical Linear Algebra in Signals, Systems and Control, Lecture Notes in Electrical Engineering, Vol. 80, pp. 55-76, Springer-Verlag, Dordrecht, 2011. DOI: 10.1007/978-94-007-0602-6_3 [BC8] Control Theory Peter Benner In Leslie Hogben (Ed.), Handbook of Linear Algeba, Chapter 57, Chapman & Hall/CRC, 2006.[ISBN-13: 978-1-58488-510-8] [BC7] Numerical Solution of Optimal Control Problems for Parabolic Systems Peter Benner, Sabine Görner, and Jens Saak In K.-H. Hoffmann and A. Meyer (Eds.), Parallel Algorithms and Cluster Computing: Implementations, Algorithms and Applications, Vol. 52 of Lecture Notes in Computational Science and Engineering, pp. 151-169, Springer-Verlag, Berlin, Heidelberg, New York, 2006. [ISBN/ISSN: 3-540-33539-0] DOI: 10.1007/3-540-33541-2_9 [BC6] Model Reduction Based on Spectral Projection Methods Peter Benner and Enrique S. Quintana-Ortí In P. Benner, V. Mehrmann, and D.C. Sorensen (Eds.), Dimension Reduction of Large-Scale Systems, Ch. 1, Lecture Notes in Computational Science and Engineering, Vol. 45, pp. 5-48, Springer-Verlag, Berlin/Heidelberg, June 2005. DOI: 10.1007/3-540-27909-1_1 [BC5] A Semi-Discretized Heat Transfer Model for Optimal Cooling of Steel Profiles Peter Benner and Jens Saak In P. Benner, V. Mehrmann, and D.C. Sorensen (Eds.), Dimension Reduction of Large-Scale Systems, Ch. 19, Lecture Notes in Computational Science and Engineering, Vol. 45, pp. 353-356, Springer-Verlag, Berlin/Heidelberg, June 2005. DOI: 10.1007/3-540-27909-1_19 [BC4] Skew-Hamiltonian and Hamiltonian Eigenvalue Problems: Theory, Algorithms and Applications Peter Benner, Daniel Kressner, and Volker Mehrmann In Z. Drmač, M. Marušić, and Z. Tutek (Eds.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, pp. 3-39. Springer-Verlag, 2005. [ISBN: 978-1-4020-3196-0] DOI: 10.1007/1-4020-3197-1_1 [BC3] A Model Reduction Web Environment for Very Large Linear Dynamical Systems Peter Benner, Rafael Mayo, Enrique S. Quintana-Ortí, and Gregorio Quintana-Ortí In V.Y. Pan and L.T. Yang (Eds.), 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. [ISBN:1-59033-956-8] [BC2] A Portable Subroutine Library for Solving Linear Control Problems on Distributed Memory Computers Peter Benner, Enrique S. Quintana-Ortí, and Gregorio Quintana-Ortí In G. Cooperman, E. Jessen, and G.O. Michler (Eds.), Workshop on Wide Area Networks and High Performance Computing, Essen (Germany), September 1998, Lecture Notes in Control and Information, Vol. 249, pp. 61-87, Springer-Verlag, Berlin/Heidelberg, 1999. [ISBN: 1-85233-642-0] DOI: 10.1007/BFb0110079 The retrievable version is NICONET Report 1999-1, Working Group on Software, January 1999. [BC1] Numerical Methods for Linear Quadratic and H∞ Control Problems Peter Benner, Ralp Byers, Volker Mehrmann, and Hongguo Xu In G. Picci and D.S. Gilliam (Eds.), Dynamical Systems, Control, Coding, Computer Vision: New Trends, Interfaces, and Interplay, Vol. 25 of Progress in Systems and Control Theory, pp. 203-222, Birkhäuser, Basel, 1999. [ISBN: 978-3-0348-9848-5] DOI: 10.1007/978-3-0348-8970-4_10

## Articles in conference proceedings

 [CA199] Control Design for a 2x2 Hyperbolic System with Application to Preferential Crystallization Alexander Zuyev, and Peter Benner Proceedings in Applied Mathematics and Mechanics, accepted March 2018. [CA198] Model Reduction of Descriptor Systems with the MORLAB Toolbox Peter Benner and Steffen W. R. Werner 9th Vienna Int. Conf. on Mathematical Modelling (MATHMOD 2018), February 21-23, 2018, Vienna, Austria, accepted January 2018. [CA197] Computation of Periodic Switching Strategies for the Optimal Control of Chemical Reactions Peter Benner, Andreas Seidel-Morgenstern, and Alexander Zuyev In J. Awrejcewicz, M. Kazmierczak, J. Mrozowski, and P. Olejnik (Eds.), Mathematical and Numerical Aspects of Dynamical System Analysis, pp. 59-66, Łódź University of Technology, Department of Automation, Biomechanics and Mechatronics, Poland, 2018. [ISBN: 978-83-935312-6-4] [CA196] Towards Riccati-Feedback Control of Complex Flows with Moving Interfaces Björn Baran, Peter Benner, Jan Heiland, and Jens Saak Proceedings in Applied Mathematics and Mechanics, Vol. 17, Issue 1, pp. 769-770, 2017. DOI: 10.1002/pamm.201710352 [CA195] On the Transformation Formulas of the Hankel-Norm Approximation Peter Benner and Steffen Werner Proceedings in Applied Mathematics and Mechanics, Vol. 17, Issue 1, pp. 823-824, 2017. DOI: 10.1002/pamm.201710379 [CA194] Construction of a Lyapunov Functional for a Class of Controlled Population Balance Models Alexander Zuyev, Achim Kienle, and Peter Benner Proceedings in Applied Mathematics and Mechanics, Vol. 17, Issue 1, pp. 827-828, 2017. DOI: 10.1002/pamm.201710381 [CA193] A Greedy Subspace Method for Computing the L∞-Norm Nicat Aliyev, Peter Benner, Emre Mengi, Paul Schwerdtner, and Matthias Voigt Proceedings in Applied Mathematics and Mechanics, Vol 17, Issue 1, pp. 751-752, 2017. DOI: 10.1002/pamm.201710343 [CA192] Nonlinear Feedback Stabilization of Incompressible Flows via updated Riccati-based Gains Peter Benner and Jan Heiland 56th IEEE Conference on Decision and Control, Melbourne, Australia, December 12-15, 2017, pp. 1163-1168, 2017. DOI: 10.1109/CDC.2017.8263813 [CA191] Sparse Model Order Reduction for Electro-Thermal Problems with Many Inputs Nicodemus Banagaaya, Lihong Feng, Wim Schoenmaker, Peter Meuris, Renaud Gillon, and Peter Benner In U. Langer, W. Amrhein, W. Zulehner (Eds.), Scientific Computing in Electrical Engineering - SCEE 2016, Mathematics in Industry, Springer International Publishing, accepted 12 August 2017. [CA190] Solving Sparse Differential Riccati Equations on Hybrid CPU-GPU Platforms Peter Benner, Ernesto Dufrechou, Pablo Ezzatti, Hermann Mena, Enrique S. Quintana-Ortí, and Alfredo Remón In O. Gervasi, B. Murgante, S. Misra, G. Borruso, C. M. Torre, A.M.A.C. Rocha, D. Taniar, B. O. Apduhan E. Stankova, A. Cuzzocrea (Eds.), Computational Science and Its Applications – ICCSA 2017, Proceedings, Part I, Lecture Notes in Computer Science, Vol. 10404, pp. 116-132, Springer International Publishing, 2017. DOI: 10.1007/978-3-319-62392-4_9 [CA189] Studying mixed precision techniques for the solution of algebraic Riccati equations Peter Benner, Ernesto Dufrechou, Pablo Ezzatti, and Alfredo Remón In 2nd Workshop on Power-Aware Computing, Ringberg Castle, July 5-8, 2017, July 2017. DOI: 10.5281/zenodo.815496 [CA188] GPU-accelerated Implementation of the Storage-efficient QR Decomposition Peter Benner, Martin Köhler, and Carolin Penke In 2nd Workshop on Power-Aware Computing, Ringberg Castle, July 5-8, 2017, July 2017. DOI: 10.5281/zenodo.815816 [CA187] Parameterized Frequency-dependent Balanced Truncation for Model Order Reduction of Linear Systems Xin Du and Peter Benner In 2017 29th Chinese Control And Decision Conference (CCDC), pp. 901-908, 2017. DOI: 10.1109/CCDC.2017.7978648 [CA186] Convergence of Approximations to Riccati-based Boundary-feedback Stabilization of Laminar Flows Peter Benner and Jan Heiland In IFAC 2017 World Congress, 9 -14 July, 2017, Toulouse, France, IFAC-PapersOnLine, Vol. 50, Issue 1, pp. 12296-12300, 2017. DOI: 10.1016/j.ifacol.2017.08.2476 [CA185] Simulation gekoppelter Baugruppen: Effiziente Zeitintegrationsverfahren und Modellordnungsreduktion Norman Lang, Peter Benner, Andreas Naumann, Jörg Wensch In C. Brecher (Ed.), Tagungsband des 5. Kolloquiums zum SFB/TR 96, Thermo-Energetische Gestaltung von Werkzeugmaschinen - Modellierung und Simulation, pp. 18-32, 2017. [ISBN: 978-3-86780-516-2] [CA184] Parametric Model Order Reduction for Electro-Thermal Coupled Problems with Many Inputs Nicodemus Banagaaya, Peter Benner, and Lihong Feng In P. Quintela, P. Barral, D. Gómez, F.J. Pena, J. Rodríguez, P. Salgado, M.E. Vázquez-Mendéz (Eds.), Progress in Industrial Mathematics at ECMI 2016, Mathematics in Industry, Vol. 26, Springer International Publishing, 2017, accepted 19 December 2016. [ISBN: 978-3-319-63081-6] DOI: 10.1007/978-3-319-63082-3 [CA183] Reduced-Order Modeling of Index-1 Vibrational Systems Using Interpolatory Projections Peter Benner, Jens Saak, and M. Monir Uddin In Proceedings of the 19th International Conference on Computer and Information Technology, December 18-20, 2016, North South University, Dhaka, Bangladesh, pp. 134-138, IEEE Publications, 2016. [ISBN: 978-1-5090-4090-2] DOI: 10.1109/ICCITECHN.2016.7860183 [CA182] Improved Balancing for General and Structured Eigenvalue Problems Vasile Sima and Peter Benner In E. Petre, M. Brezovan, Proceedings of the 2016 20th International Conference on System Theory, Control and Computing (ICSTCC), October 13-15, Sinaia, Romania, pp. 381-386, IEEE, 2016. [ISBN: 978-1-5090-2720-0] DOI: 10.1109/ICSTCC.2016.7790695 [CA181] Stability Preserving Model Reduction for Linearly Coupled Linear Time-Invariant Systems Peter Benner, Sara Grundel, and Petar Mlinarić Proceedings in Applied Mathematics and Mechanics, Vol. 16, pp. 817-818, 2016. DOI: 10.1002/pamm.201610397 [CA180] Numerical Solution to Low Rank Perturbed Lyapunov Equations by the Sign Function Method Peter Benner and Jonas Denißen Proceedings in Applied Mathematics and Mechanics, Vol. 16, pp. 723-724, 2016. DOI: 10.1002/pamm.201610350 [CA179] Local Steering Problem for a Class of Control-Affine Systems with Application to Continuous Crystallization Processes Alexander Zuyev and Peter Benner Proceedings in Applied Mathematics and Mechanics, Vol. 16, pp. 831-832, 2016. DOI: 10.1002/pamm.201610404 [CA178] Tuning the Blocksize for Dense Linear Algebra Factorization Routines with the Roofline Model Peter Benner, Pablo Ezzatti, Enrique S. Quintana-Ortí, Alfredo Remón, and Juan Pablo Silva In J. Carretero et al (Eds.), Algorithms and Architectures for Parallel Processing. ICA3PP 2016 Collocated Workshops: SCDT, TAPEMS, BigTrust, UCER, DLMCS, Granada, Spain, December 14-16, 2016, Proceedings, Lecture Notes in Computer Science, Vol. 10049, pp. 18-29, 2016. DOI: 10.1007/978-3-319-49956-7_2 [CA177] Nonlinear Model Order Reduction for Catalytic Tubular Reactors Jens Bremer, Pawan Goyal, Lihong Feng, Peter Benner, and Kai Sundmacher Proceedings of the 26th Symposium on Computer Aided Process Engineering (ESCAPE), Portorož, Slovenia, 12 -15 June 2016, pp. 2373-2378, 2016. DOI: 10.1016/B978-0-444-63428-3.50400-8 [CA176] Robust Stabilization of Laminar Flows in Varying Flow Regimes Peter Benner and Jan Heiland 2nd IFAC Workshop on Control of Systems Governed by Partial Differential Equations (CPDE 2016), 13 — 15 June 2016, Bertinoro, Italy, IFAC-PapersOnLine, Vol. 49, Issue 8, pp. 31-36, 2016. DOI: 10.1016/j.ifacol.2016.07.414 [CA175] Model Order Reduction for Nanoelectronics Coupled Problems with Many Inputs Nicodemus Banagaaya, Lihong Feng, Wim Schoenmaker, Peter Meuris, Aarnout Wieers, Renaud Gillon, and Peter Benner Proceedings of the 2016 Design, Automation & Test in Europe Conference & Exhibition (DATE), 14 – 18 March 2016, ICC, Dresden, Germany , pp. 313-318, 2016. [ISBN: 978-3-9815370-6-2] [CA174] Algebraic Gramians for Quadratic-Bilinear Systems and their Application in Model Order Reduction Peter Benner and Pawan Goyal Proceedings of the 22nd International Symposium on Mathematical Theory of Networks and Systems - MTNS 2016, 12 - 15 July 2016, Minnesota, USA, pp. 81-83, 2016. [CA173] Clustering-Based Model Order Reduction for Multi-Agent Systems with General Linear Time-Invariant Agents Petar Mlinarić, Sara Grundel, and Peter Benner Proceedings of the 22nd International Symposium on Mathematical Theory of Networks and Systems - MTNS 2016, 12 - 15 July 2016, Minneapolis, USA, pp. 230-235, 2016. [CA172] An Iterative Model Order Reduction Scheme for a Special Class of Bilinear Descriptor Systems Appearing in Constraint Circuit Simulation Pawan Goyal and Peter Benner In M. Papadrakakis, V. Papadopoulos, G. Stefanou, V. Plevris (Eds.), Proceedings of the VII European Congress on Computational Methods in Applied Sciences and Engineering, pp. 4196-4212, 2016. [CA171] Reduced Basis Method for Poisson-Boltzmann Equation Cleophas Kweyu, Martin W. Hess, Lihong Feng, Matthias Stein, and Peter Benner In M. Papadrakakis, V. Papadopoulos, G. Stefanou, V. Plevris (Eds.), Proceedings of the VII European Congress on Computational Methods in Applied Sciences and Engineering, pp. 4187-4195, 2016. [CA170] Time-Varying Stabilization of a Class of Driftless Systems Satisfying Second-Order Controllability Condition Alexander Zuyev, Victoria Grushkovskaya, and Peter Benner Proceedings of 2016 European Control Conference (ECC), 29 June - 1 July, 2016. Aalborg, Denmark, pp. 575-580, 2016. DOI: 10.1109/ECC.2016.7810346 [CA169] Berechnung von thermo-elastischen Deformationen in Werkzeugmaschinen - Vergleich numerischer Verfahren Michael Beitelschmidt, Peter Benner, Norman Lang, Andreas Naumann, Marian Partzsch, Axel Voigt, and Jörg Wensch In C. Brecher (Ed.), Tagungsband des 4. Kolloquiums zum SFB/TR 96, Thermo-Energetische Gestaltung von Werkzeugmaschinen, pp. 83-95, Verlag Wissenschaftliche Scripten, 2016. [ISBN: 978-3-95735-038-1] [CA168] Output Error Estimates in Reduced Basis Methods for Time-Harmonic Maxwell's Equations Martin W. Hess and Peter Benner In B. Karasözen, M. Manguoglu, M. Tezer-Sezgin, S. Göktepe, and Ö. Ugur (Eds.), Numerical Mathematics and Advanced Applications - ENUMATH 2015, Lecture Notes in Computational Science and Engineering, Vol. 112, pp. 351-358, 2016. DOI: 10.1007/978-3-319-39929-4_33 [CA167] Efficient Model Order Reduction for Multi-Agent Systems Using QR Decomposition-Based Clustering Petar Mlinarić, Sara Grundel, and Peter Benner Proceedings of the 54th IEEE Conference on Decision and Control (CDC), Osaka, Japan, Dec. 2015, pp. 4794-4799, 2015. DOI: 10.1109/CDC.2015.7402967 [CA166] A New Interpolatory Model Reduction Approach for Quadratic Bilinear Descriptor Systems Mian Ilyas Ahmad, Peter Benner, and Lihong Feng Proceedings in Applied Mathematics and Mechanics, Vol. 15, pp. 589-590, 2015. DOI: 10.1002/pamm.201510284 [CA165] Exploring the Offload Execution in the Intel Xeon Phi via Matrix Inversion Peter Benner, Pablo Ezzatti, Enrique S. Quintana-Ortí, and Alfredo Remón In G. R. Joubert et al. (Eds.), Parallel Computing: On the Road to Exascale, Advances in Parallel Computing, Vol. 27, pp. 237-246, 2016. [ISBN: 978-1-61499-620-0] DOI: 10.3233/978-1-61499-621-7-237 [CA164] A Parallel Multi-Threaded Solver for Symmetric Positive Definite Bordered-Band Linear Systems Peter Benner, Pablo Ezzatti, Enrique S. Quintana-Ortí, and Alfredo Remón In R. Wyrzykowski et al. (Eds.), Parallel Processing and Applied Mathematics - PPAM 2015, Lecture Notes in Computer Science, Vol. 9573, pp. 96-105, 2016. DOI: 10.1007/978-3-319-32149-3_10 [CA163] Revisiting the Gauss-Huard Algorithm for the Solution of Linear Systems on Graphics Accelerators Peter Benner, Pablo Ezzatti, Enrique S. Quintana-Ortí, and Alfredo Remón In R. Wyrzykowski et al. (Eds.), Parallel Processing and Applied Mathematics - PPAM 2015, Lecture Notes in Computer Science, Vol. 9573, pp. 505-514, 2016. DOI: 10.1007/978-3-319-32149-3_47 [CA162] Solving Dense Linear Systems with Hybrid ARM+GPU Platforms [in Spanish] Juan P. Silva, Ernesto Dufrechou, Pablo Ezzatti, Enrique S. Quintana-Ortí, Peter Benner, and Alfredo Remón Proceedings of the 41st Latin American Computing Conference - CLEI 2015, 19-23 October 2015. Arequipa, Peru, pp. 1-8, 2015. DOI: 10.1109/CLEI.2015.7360027 [CA161] Reduced Basis Modeling for Uncertainty Quantification of Electromagnetic Problems in Stochastically Varying Domains Peter Benner and Martin W. Hess In A. Bartel, M. Clemens, M. Günther, E. J. W. ter Maten (Eds.), Scientific Computing in Electrical Engineering - SCEE 2014, Mathematics in Industry, Vol. 23, pp. 215-222, 2016. DOI: 10.1007/978-3-319-30399-4_21 [CA160] Parametric and Reduced-Order Modeling for the Thermal Analysis of Nanoelectronic Structures Lihong Feng, Peter Meuris, Wim Schoenmaker, and Peter Benner In A. Bartel, M. Clemens, M. Günther, E. J. W. ter Maten (Eds.), Scientific Computing in Electrical Engineering - SCEE 2014, Mathematics in Industry, Vol. 23, pp. 155-163, 2016. DOI: 10.1007/978-3-319-30399-4_16 [CA159] Approximation and Model Order Reduction for Second Order Systems with Levy-Noise Martin Redmann and Peter Benner Dynamical Systems, Differential Equations and Applications. AIMS Proceedings, pp. 945-953, 2015. DOI: 10.3934/proc.2015.0945 [CA158] An Efficient Output Error Bound for Model Order Reduction of Parametrized Evolution Equations Yongjin Zhang, Lihong Feng, Suzhou Li, and Peter Benner 8th Vienna International Conference on Mathematical Modelling MATHMOD 2015, 18-20 February, 2015. Vienna, Austria, IFAC-PapersOnLine, Vol. 48, pp. 9-10, 2015. DOI: 10.1016/j.ifacol.2015.05.096 [CA157] Model Order Reduction of an Electro-Thermal Package Model Nicodemus Banagaaya, Lihong Feng, Peter Meuris, Wim Schoenmaker, and Peter Benner 8th Vienna International Conference on Mathematical Modelling MATHMOD 2015, 18-20 February, 2015. Vienna, Austria, IFAC-PapersOnLine, Vol. 48, pp. 934-935, 2015. DOI: 10.1016/j.ifacol.2015.05.212 [CA156] Model Reduction of Quadratic-Bilinear Descriptor Systems via Carleman Bilinearization Pawan Kumar Goyal, Mian Ilyas Ahmad, and Peter Benner Proceedings of 2015 European Control Conference (ECC), 15-17 July, 2015. Linz, Austria, pp. 1177-1182, 2015. DOI: 10.1109/ECC.2015.7330699 [CA155] Solving SLICOT Benchmarks for Continuous-time Algebraic Riccati Equations by Hamiltonian Solvers Vasile Sima and Peter Benner Proceedings of the 19th International Conference on System Theory, Control and Computing, 14-16 October, 2015. Cheile Gradistei - Fundata Resort, Romania, pp. 1-6, 2015. DOI: 10.1109/ICSTCC.2015.7321260 [CA154] Pitfalls when Solving Eigenproblems with Applications in Control Engineering Vasile Sima and Peter Benner Proceedings of the 12th International Conference on Informatics in Control, Automation and Robotics (ICINCO-2015), 21-23 July, 2015. Colmar, France, Vol. 1, pp. 171-178, 2015. DOI: 10.5220/0005533301710178 [CA153] Ehrlich-Aberth Iteration For Vibrational Systems Peter Benner and Jonas Denißen Proceedings of the IFTOMM International Conference on Engineering Vibration 2015 (ICoEV 2015), Ljubljana, Slovenia, pp. 1540-1548, 2015. [CA152] Application of Krylov-type Parametric Model Order Reduction in Efficient Uncertainty Quantification of Electro-thermal Circuit Models Yao Yue, Lihong Feng, Peter Meuris, Wim Schoenmaker, and Peter Benner Proceedings of the Progress In Electromagnetics Research Symposium (PIERS 2015), Prague, Czech Republic, pp. 379-384, 2015. DOI: 10.17617/2.2223025 [CA151] Automatic Generation of Reduced Order Models for Linear Parametric Systems Lihong Feng, Athanasios C. Antoulas, and Peter Benner In G. Russo, V. Capasso, G. Nicosia, and V. Romano (Eds.), Progress in Industrial Mathematics at ECMI 2014, Mathematics in Industry, Vol. 22, Springer International Publishing, 2016. [ISBN: 978-3-319-23412-0]. DOI: 10.1007/978-3-319-23413-7 [CA150] Distributed Optimal Control Problems Governed by Coupled Convection Dominated PDEs with Control Constraints Hamdullah Yücel and Peter Benner In A. Abdulle, S. Deparis, D. Kressner, F. Nobile, and M. Picasso (Eds.), Numerical Mathematics and Advanced Applications - ENUMATH 2013, Lecture Notes in Computational Science and Engineering, Vol. 103, pp. 469-478, Springer International Publishing, 2015. [ISBN: 978-3-319-10704-2] DOI: 10.1007/978-3-319-10705-9_46 [CA149] Reduced-Order Modeling and ROM-Based Optimization of Batch Chromatography Peter Benner, Lihong Feng, Suzhou Li, and Yongjin Zhang In A. Abdulle, S. Deparis, D. Kressner, F. Nobile, and M. Picasso (Eds.), Numerical Mathematics and Advanced Applications - ENUMATH 2013, Lecture Notes in Computational Science and Engineering, Vol. 103, pp. 427-435, Springer International Publishing, 2015. [ISBN: 978-3-319-10704-2] DOI: 10.1007/978-3-319-10705-9_42 [CA148] Mapping Parameters Across System Boundaries: Parameterized Model Reduction with Low Rank Variability in Dynamics Ulrike Baur, Christopher Beattie, and Peter Benner Proceedings in Applied Mathematics and Mechanics, Vol. 14, pp. 19–22, 2014. DOI: 10.1002/pamm.201410006 [CA147] A Cache-Aware Implementation of the Spectral Divide-and-Conquer Approach for the Non-Symmetric Generalized Eigenvalue Problem Peter Benner, Martin Köhler, and Jens Saak Proceedings in Applied Mathematics and Mechanics, Vol. 14, Issue 1, pp. 819–820, 2014. DOI: 10.1002/pamm.201410390 [CA146] Spectral Bounds on the Solution of Linear Time-Periodic Systems Peter Benner and Jonas Denißen Proceedings in Applied Mathematics and Mechanics, Vol. 14, Issue 1, pp. 863–864, 2014. DOI: 10.1002/pamm.201410412 [CA145] Generalized Inverses of Periodic Matrix Pairs and Model Reduction for Periodic Control Systems Mohammad-Sahadet Hossain and Peter Benner In Proceedings of the 2014 International Conference on Electrical Engineering and Information & Communication Technology (ICEEICT), pp. 1-6, IEEE Publications, 2014. [ISBN: 978-1-4799-4820-8] DOI: 10.1109/ICEEICT.2014.6919033 [CA144] Interpolatory Model Reduction Techniques for Linear Second-Order Descriptor Systems Mian Ilyas Ahmad and Peter Benner Proceedings of 2014 European Control Conference (ECC), pp. 1075-1079, IEEE Publications, 2014. DOI: 10.1109/ECC.2014.6862210 [CA143] Accelerating Band Linear Algebra Operations on GPUs with Application in Model Reduction Peter Benner, Ernesto Dufrechou, Pablo Ezzatti, Pablo Igounet, Enrique S. Quintana-Ortí, and Alfredo Remón In B. Murgante et al (Eds.), Computational Science and Its Applications – ICCSA 2014 14th International Conference, Guimarães, Portugal, June 30 – July 3, 2014, Proceedings, Part VI, Lecture Notes in Computer Science, Vol. 8584, pp. 386-400, Springer International Publishing, 2014. DOI: 10.1007/978-3-319-09153-2_29 [CA142] Accelerating the General Band Matrix Multiplication Using Graphics Processors Peter Benner, Alfredo Remón, Ernesto Dufrechou, Pablo Ezzatti, and Enrique S. Quintana-Ortí Proceedings of XL Conferencia Lationamericana en Informática. Montevideo (Uruguay), pp. 1-7, 2014. DOI: 10.1109/CLEI.2014.6965142 [CA141] Numerical Investigation of Newton’s Method for Solving Continuous-time Algebraic Riccati Equations Vasile Sima and Peter Benner In Proceedings of the 11th International Conference on Informatics in Control, Automation and Robotics (ICINCO), pp. 404-409, SCITEPRESS, 2014. DOI: 10.5220/0005117004040409. [CA140] Efficient Solvers for Large-Scale Saddle Point Systems Arising in Feedback Stabilization of Multi-Field Flow Problems Peter Benner, Jens Saak, Martin Stoll, and Heiko K. Weichelt In C. Pötzsche, C. Heuberger, B. Kaltenbacher, and F. Rendl (Eds.), System Modeling and Optimization. 26th IFIP TC 7 Conference, Klagenfurt, Austria, September 8–13, 2013, IFIP AICT, Vol. 443, pp. 11-20, Springer-Verlag, Berlin/Heidelberg, 2014. DOI: 10.1007/978-3-662-45504-3_2. [CA139] Using Model Order Reduction to Accelerate Optimization of Multi-Stage Linear Dynamical Systems Yao Yue, Suzhou Li, Lihong Feng, Andreas Seidel-Morgenstern, and Peter Benner In A. Araujo (Ed.), Engineering Optimization IV, pp. 453-458, CRC Press, 2014.[ISBN: 978-1-138-02725-1] DOI: 10.1201/b17488-80. [CA138] Balanced Truncation for Stochastic Linear Systems with Guaranteed Error Bound Tobias Damm and Peter Benner In Proceedings of The 21st International Symposium on Mathematical Theory of Networks and Systems (MTNS 2014), pp. 1492-1497, 2014. [CA137] Efficient Model Reduction of SMB Chromatography by Krylov-subspace Method with Application to Uncertainty Quantification Yao Yue, Suzhou Li, Lihong Feng, Andreas Seidel-Morgenstern, and Peter Benner In J. J. Klemeš, P. S. Varbanov, and P. Y. Liew (Eds.), Proceedings of the 24th European Symposium on Computer Aided Process Engineering, Part-A, pp. 925-930, Elsevier B.V., 2014.[ISBN: 978-0-444-63456-6] DOI: 10.1016/B978-0-444-63456-6.50155-1 [CA136] Balancing-Related Model Reduction for Parabolic Control Systems Peter Benner Proceedings of the 1st IFAC Workshop on Control of Systems Governed by Partial Differential Equations, IFAC-PapersOnLine, pp. 257-262, 2013. DOI: 10.3182/20130925-3-FR-4043.00065 [CA135] Optimal Control for Allen-Cahn Equations Enhanced by Model Predictive Control Peter Benner and Martin Stoll Proceedings of the 1st IFAC Workshop on Control of Systems Governed by Partial Differential Equations, IFAC-PapersOnLine, pp. 139-143, 2013. DOI: 10.3182/20130925-3-FR-4043.00062 [CA134] On the Impact of Optimization on the Time-Power-Energy Balance of Dense Linear Algebra Factorizations Peter Benner, Pablo Ezzatti, Enrique S. Quintana-Ortí, and Alfredo Remón In R. Aversa, J. Kolodziej, J. Zhang, F. Amato, F. Giancarlo (Eds.), 13th International Conference, ICA3PP 2013, Vietri sul Mare, Italy, December 18-20, 2013, Proceedings, Part I, Lecture Notes in Computer Science, Vol. 8286, pp. 3-10, Springer-Verlag, Berlin/Heidelberg, 2013. DOI: 10.1007/978-3-319-03889-6_1 [CA133] Fast Approximate Solution of the Non-Symmetric Generalized Eigenvalue Problem on Multicore Architectures Peter Benner, Martin Köhler, and Jens Saak In M. Bader, A. Bode, H.-J. Bungartz, M. Gerndt, G.R. Joubert, F. Peters (Eds.), Parallel Computing: Accelerating Computational Science and Engineering (CSE). Advances in Parallel Computing, Vol. 25, pp. 143-152, IOS Press, 2014. DOI: 10.3233/978-1-61499-381-0-143 [CA132] Exploiting Data- and Task-Parallelism in the Solution of Riccati Equations on Multicore Servers and GPUs Peter Benner, Pablo Ezzatti, Enrique S. Quintana-Ortí, and Alfredo Remón In M. Bader, A. Bode, H.-J. Bungartz, M. Gerndt, G.R. Joubert, F. Peters (Eds.), Parallel Computing: Accelerating Computational Science and Engineering (CSE). Advances in Parallel Computing, Vol. 25, pp. 367-374, IOS Press, 2014. DOI: 10.3233/978-1-61499-381-0-367 [CA131] Trading Off Performance for Power-Energy in Dense Linear Algebra Operations Peter Benner, Pablo Ezzatti, Enrique S. Quintana-Ortí, and Alfredo Remón In Proceedings of VI Latin American Symposium on High Performance Computing - HPCLatAm 2013. Mendoza (Argentina), pp. 158-166, 2013. [CA130] Computation of the H∞-Norm for Large-Scale Systems Matthias Voigt, Peter Benner, and Ryan Lowe Mathematisches Forschungsinstitut Oberwolfach, Vol. 10, Issue 4, pp. 3289-3291, 2013. DOI: 10.4171/OWR/2013/56 [CA129] A Parallel, Adaptive Multi-Point Model Order Reduction Algorithm Giovanni De Luca, Guilio Antonini, and Peter Benner In Proceedings of 22nd Conference on Electrical Performance of Electronic Packaging and Systems (EPEPS), pp. 115-118, 2013, IEEE Publications. DOI: 10.1109/EPEPS.2013.6703479 [CA128] Reachability and Observability Concepts for Stochastic Systems Peter Benner and Martin Redmann Proceedings in Applied Mathematics and Mechanics, Vol. 13, Issue 1, pp. 381-382, 2013. DOI: 10.1002/pamm.201310186 [CA127] A Reformulated Low-Rank ADI Iteration with Explicit Residual Factors Peter Benner, Patrick Kürschner, and Jens Saak Proceedings in Applied Mathematics and Mechanics, Vol. 13, Issue 1, pp. 585-586, 2013. DOI: 10.1002/pamm.201310273 [CA126] Bounds on the Solution of Linear Time-Periodic Systems Peter Benner, Jonas Denißen, and Ludwig Kohaupt Proceedings in Applied Mathematics and Mechanics, Vol. 13, Issue 1, pp. 447-448, 2013. DOI: 10.1002/pamm.201310217 [CA125] Modeling Structural Variability in Reduced Order Models of Machine Tool Assembly Groups via Parametric MOR Peter Benner, Norman Lang, and Jens Saak Proceedings in Applied Mathematics and Mechanics, Vol. 13, Issue 1, pp. 481-482, 2013. DOI: 10.1002/pamm.201310233 [CA124] Modellordnungsreduktion für geschaltete, gekoppelte thermo-elastische Systeme Peter Benner, Norman Lang, Jens Saak In O. Sawodny and J. Adamy (Eds.), Tagungsband des GMA-Fachausschusses 1.30 Modellbildung, Identifikation und Simulation in der Automatisierungstechnik, pp. 215-227, 2013. [CA123] Reduced Basis Generation for Maxwell’s Equations by Rigorous Error Estimation Martin W. Hess and Peter Benner In Proceedings of 19th International Conference on the Computation of Electromagnetic Fields (COMPUMAG 2013), Paper PD2-10 (2 pp.), 2013. [CA122] Second Order to Second Order Balancing for Index-1 Vibrational Systems Peter Benner, Jens Saak, and M. Monir Uddin In Proceedings of the 2012 7th International Conference on Electrical and Computer Engineering 20-22 December, 2012, Dhaka, Bangladesh, pp. 933-936, IEEE Publications, 2012. [ISBN: 978-1-4673-1436-7] DOI: 10.1109/ICECE.2012.6471704 [CA121] Iterative Solvers for Periodic Matrix Equations and Model Reduction for Periodic Control Systems Mohammad-Sahadet Hossain and Peter Benner In Proceedings of the 2012 7th International Conference on Electrical and Computer Engineering 20-22 December, 2012, Dhaka, Bangladesh, pp. 791-794, IEEE Publications, 2012. [ISBN: 978-1-4673-1436-7] DOI: 10.1109/ICECE.2012.6471669 [CA120] H∞-Norm Computation for Large and Sparse Descriptor Systems Peter Benner and Matthias Voigt Proceedings in Applied Mathematics and Mechanics, Vol. 12, Issue 1, pp. 797–800, 2012. DOI: 10.1002/pamm.201210383 [CA119] Avoiding Complex Arithmetic in the Low-Rank ADI Method Efficiently Peter Benner, Patrick Kürschner, and Jens Saak Proceedings in Applied Mathematics and Mechanics, Vol. 12, Issue 1, pp. 639–640, 2012. DOI: 10.1002/pamm.201210308 Extendend version available as MPI Magdeburg Preprint MPIMD/12-11, May 2012. [CA118] The Reduced Basis Method for Time-Harmonic Maxwell's Equations Peter Benner and Martin W. Hess Proceedings in Applied Mathematics and Mechanics, Vol. 12, Issue 1, pp. 661–662, 2012. DOI: 10.1002/pamm.2012319 [CA117] Efficient Reduced Order State Space Model Computation for a Class of Second Order Index One Systems Peter Benner, Burkhard Kranz, Jens Saak, and M. Monir Uddin Proceedings in Applied Mathematics and Mechanics, Vol. 12, Issue 1, pp. 699–700, 2012. DOI: 10.1002/pamm.2012338 [CA116] MPC/LQG for Infinite-Dimensional Systems Using Time-Invariant Linearizations Peter Benner and Sabine Hein In System Modeling and Optimization. 25th IFIP TC 7 Conference, Berlin, Germany, September 12-16, 2011, Revised Selected Papers, IFIP AICT, Vol. 391, pp. 217-224, Springer-Verlag, Berlin/Heidelberg, 2013. [ISBN 978-3-642-36061-9] DOI: 10.1007/978-3-642-36062-6_22 [CA115] Numerical Computation of Structured Complex Stability Radii of Large-Scale Matrices and Pencils Peter Benner and Matthias Voigt In Proceedings of the 51st IEEE Conference on Decision and Control, December 10-13, 2012, Maui, HI, USA, pp. 6560-6565, IEEE Publications, 2012. [ISBN: 978-1-4673-2064-1] © IEEE. DOI: 10.1109/CDC.2012.6426906 [CA114] High Performance Implementations of the BST Method on Hybrid CPU-GPU Platforms Peter Benner, Pablo Ezzatti, Enrique S. Quintana-Ortí, and Alfredo Remón In Proceedings of the 10th IEEE International Symposium on Parallel and Distributed Processing with Applications, Leganés, Madrid, 10-13 July 2012, IEEE Publications, pp. 662-668, 2012. DOI: 10.1109/ISPA.2012.98 [CA113] New SLICOT Routines Based on Structured Eigensolvers (author's version) Peter Benner, Daniel Kressner, and Vasile Sima In Proceedings of the 2012 IEEE Multi-Conference on Systems and Control, October 3-5, 2012. Dubrovnik, Croatia, pp. 640-645, IEEE Publications, 2012. DOI: 10.1109/CCA.2012.6402437 © IEEE. [CA112] Structure Preserving Iterative Solution of Periodic Projected Lyapunov Equations Peter Benner and Mohammad-Sahadet Hossain In Proceedings of MATHMOD 2012 - 7th Vienna International Conference on Mathematical Modelling, IFAC Proceedings Volumes, Vol. 45, Issue 2, pp. 276-281, 2012. DOI: 10.3182/20120215-3-AT-3016.00048 [CA111] A Goal-Oriented Dual LRCF-ADI for Balanced Truncation Jens Saak, Peter Benner, and Patrick Kürschner In Proceedings of MATHMOD 2012 - 7th Vienna International Conference on Mathematical Modelling, IFAC Proceedings Volumes, Vol. 45, Issue 2, pp. 752-757, 2012. DOI: 10.3182/20120215-3-AT-3016.00133 Preliminary version appeared as MPI Magdeburg Preprint MPIMD/12-01, January 2012. [CA110] Improved Second-Order Balanced Truncation for Symmetric Systems Peter Benner, Patrick Kürschner, and Jens Saak In Proceedings of MATHMOD 2012 - 7th Vienna International Conference on Mathematical Modelling, IFAC Proceedings Volumes, Vol. 45, Issue 2, pp. 758-762, 2012. DOI: 10.3182/20120215-3-AT-3016.00134 Preliminary version appeared as MPI Magdeburg Preprint MPIMD/11-13, December 2011. [CA109] Robust and Efficient Algorithms for L∞-Norm Computation for Descriptor Systems Peter Benner, Vasile Sima, and Matthias Voigt In Proceedings of 7th IFAC Symposium on Robust Control Design, Aalborg, Denmark, June 20-22, 2012, Vol. 45, Issue 13, pp. 195-200, 2012. DOI: 10.3182/20120620-3-DK-2025.00114 [CA108] Efficient Optimization of Simulated Moving Bed Processes Using Reduced Order Models Suzhou Li, Lihong Feng, Peter Benner, and Andreas Seidel-Morgenstern In I. D. Lockhart Bogle and M. Fairweather (Eds.), Proceedings of the 22nd European Symposium on Computer Aided Process Engineering, Part-B, Vol. 30, pp. 1232-1236, Elsevier B.V., 2012. [ISBN: 978-0-444-59520-1] DOI: 10.1016/B978-0-444-59520-1.50105-6 [CA107] L∞-Norm Computation for Discrete-Time Descriptor Systems Peter Benner and Matthias Voigt In O. Sawodny and J. Adamy (Eds.), Tagungsband GMA-FA 1.30 "Modellbildung, Identifizierung und Simulation in der Automatisierungstechnik", Workshops in Anif, 21.-23. September 2011, pp. 228-240, 2011. [ISBN: 978-3-9815012-1-6] [CA106] On H2-Model Reduction of Linear Parameter-Varying Systems Peter Benner and Tobias Breiten Proceedings in Applied Mathematics and Mechanics, Vol. 11, Issue 1, pp. 805–806, 2011. DOI: 10.1002/pamm.201110391 [CA105] Two-sided Harmonic Subspace Extractions for the Generalized Eigenvalue Problem Peter Benner, Michiel Hochstenbach, and Patrick Kürschner Proceedings in Applied Mathematics and Mechanics, Vol. 11, Issue 1, pp.739–740, 2011. DOI: 10.1002/pamm.201110359 [CA104] Locally Optimal Block Preconditioned Conjugate Gradient Method for Hierarchical Matrices Peter Benner and Thomas Mach Proceedings in Applied Mathematics and Mechanics, Vol. 11, Issue 1, pp. 741–742, 2011. DOI: 10.1002/pamm.201110360 [CA103] On the Computation of Particular Eigenvectors of Hamiltonian Matrix Pencils Peter Benner and Matthias Voigt Proceedings in Applied Mathematics and Mechanics, Vol. 11, Issue 1, pp. 753–754, 2011. DOI: 10.1002/pamm.201110366 [CA102] Accelerating BST Methods for Model Reduction with Graphics Processors Peter Benner, Pablo Ezzatti, Enrique S. Quintana-Ortí, and Alfredo Remón In Parallel Processing and Applied 9th International Conference, PPAM 2011, Torun, Poland, September 11-14, 2011. Revised Selected Papers, Part I, Lecture Notes in Computer Science, Vol. 7203, pp. 549-558, Springer-Verlag, Berlin/Heidelberg, 2012. DOI: 10.1007/978-3-642-31464-3_56 [CA101] High Performance Matrix Inversion of SPD Matrices on Graphics Processors Peter Benner, Pablo Ezzatti, Enrique S. Quintana-Ortí, and Alfredo Remón In W. W. Smari (Ed.), Proceedings of the 2011 International Conference on High Performance Computing & Simulation (HPCS 2011), pp. 640-646, IEEE Publications, 2011. [ISBN: 978-1-61284-382-7] DOI: 10.1109/HPCSim.2011.5999887 [CA100] Krylov-Subspace Based Model Reduction of Nonlinear Circuit Models Using Bilinear and Quadratic-Linear Approximations Peter Benner and Tobias Breiten In M. Günther, A. Bartel, M. Brunk, S. Schöps, M. Striebel (Eds.), Progress in Industrial Mathematics at ECMI 2010, Mathematics in Industry, Vol. 17, pp. 153-159, Springer-Verlag, Berlin, 2012. [ISBN 978-3-642-25099-6] DOI: 10.1007/978-3-642-25100-9_18 [CA99] Model Reduction for Linear Descriptor Systems with Many Ports Peter Benner und André Schneider In M. Günther, A. Bartel, M. Brunk, S. Schöps, M. Striebel (Eds.), Progress in Industrial Mathematics at ECMI 2010, Mathematics in Industry, Vol. 17, pp. 137-143, Springer-Verlag, Berlin, 2012. [ISBN 978-3-642-25099-6] DOI: 10.1007/978-3-642-25100-9_16 [CA98] Some Remarks on A Priori Error Estimation for ESVDMOR Peter Benner and André Schneider In B. Michielsen and J.-R. Poirier (Eds.), Scientific Computing in Electrical Engineering SCEE 2010, Mathematics in Industry, Vol. 16, pp. 15-23, Springer-Verlag, Berlin, 2012. [ISBN 978-3-642-22452-2] DOI: 10.1007/978-3-642-22453-9_2 [CA97] Damping Optimization for Linear Vibrating Systems Using Dimension Reduction Peter Benner, Zoran Tomljanović, and Ninoslav Truhar In J. Náprstek, J. Horáček, M. Okrouhlík, B. Marvalová, F. Verhulst, and J.T. Sawicki (Eds.), Vibration Problems ICOVP 2011. The 10th International Conference on Vibration Problems, Springer Proceedings in Physics, Vol. 139, Springer-Verlag, pp. 297-305, 2011. [ISBN: 978-94-007-2068-8] DOI: 10.1007/978-94-007-2069-5_41 [CA96] Accelerating Model Reduction of Large Linear Systems with Graphics Processors Peter Benner, Pablo Ezzatti, Daniel Kressner, Enrique S. Quintana-Ortí, and Alfredo Remón In K. Jónasson (Ed.), Applied Parallel and Scientific Computing. 10th International Conference, PARA 2010, Reykjavík, Iceland, June 6-9, 2010, Revised Selected Papers, Part II, Lecture Notes in Computer Science, Vol. 7134, pp. 88-97, Springer-Verlag, Berlin/Heidelberg, 2012. [ISBN 978-3-642-28144-0] DOI: 10.1007/978-3-642-28145-7_9 [CA95] Solving Differential Riccati Equations on Multi-GPU Platforms Peter Benner, Pablo Ezzatti, Hermann Mena, Enrique S. Quintana-Ortí, and Alfredo Remón In J. Vigo-Aguilar (Ed.), Proceedings of the 11th International Conference on Computational and Mathematical Methods in Science and Engineering, CMMSE 2011, Vol. 1, pp. 178-188, 2011. [ISBN: 978-84-614-6167-7] [CA94] Modern Model Reduction of Elastic Components for the Simulation og flexible Multibody Systems [in German] Christine Nowakowski, Peter Eberhard, Patrick Kürschner, Peter Benner, Gerald Ochse, and Gunter Knoll In Tagungsband zur FVV Frühjahrstagung 2011, Forschungsvereinigung Verbrennungskraftmaschinen e.V., Frankfurt a.M., Issue R553, pp. 175-197, 2011. [CA93] Model Order Reduction of Large-Scale Dynamical Systems with Jacobi-Davidson Style Eigensolvers Peter Benner, Michiel E. Hochstenbach, and Patrick Kürschner In Proceedings of the 2011 International Conference on Communications, Computing and Control Applications (CCCA’11), March 3-5, 2011 at Hammamet, Tunisia, IEEE Publications (6 pages), 2011. DOI: 10.1109/CCCA.2011.6031208 [CA92] Modern Methods for Model Order Reduction of Finite Element Models for the Simulation of Machine Tools [in German] Thomas Bonin, Andreas Soppa, Jens Saak, Michael Zäh, Heike Faßbender, and Peter Benner In T. Bertram and B. Corves (Eds.), Tagungsband der VDI-Fachtagung Mechatronik 2011, 31.3-1.4.2011, Dresden, pp. 333-338, TU Dresden, 2011. [ISBN: 978-3-00-033892-2] [CA91] Suboptimality Estimates for the Semi-Discretized LQR Problem for Parabolic PDEs Peter Benner and Jens Saak Proceedings in Applied Mathematics and Mechanics, Vol. 10, Issue 1, pp. 591–592, 2010. DOI: 10.1002/pamm.201010288. [CA90] Krylov Subspace Methods for Model Order Reduction of Bilinear Discrete-Time Control Systems Peter Benner, Tobias Breiten, and Tobias Damm Proceedings in Applied Mathematics and Mechanics, Vol. 10, pp. 601-602, 2010. DOI: 10.1002/pamm.201010293. [CA89] Nonlinear Model Order Reduction via Quadratic Bilinear Differential Algebraic Equations Tobias Breiten and Peter Benner In B. Lohmann and A. Kugi (Eds.), Tagungsband GMA-FA 1.30 "Modellbildung, Identifizierung und Simulation in der Automatisierungstechnik", Workshops in Anif, 22.-24. September 2010, pp. 138-153, 2010. [ISBN: 978-3-9502451-7-2] [CA88] On Stability, Passivity and Reciprocity Preservation of ESVDMOR Peter Benner and André Schneider In P. Benner, M. Hinze, E. Jan W. ter Maten (Eds.), Model Reduction for Circuit Simulation, Lecture Notes in Electrical Engineering, Vol. 74, pp. 277-288, Springer-Verlag, Dordrecht, 2011. [ISBN: 978-94-007-0088-8] DOI: 0.1007/978-94-007-0089-5_16. [CA87] Recycling Krylov Subspaces for Solving Linear Systems with Successively Changing Right-hand Sides Arising in Model Reduction Peter Benner and Lihong Feng In P. Benner, M. Hinze, E. Jan W. ter Maten (Eds.), Model Reduction for Circuit Simulation, Lecture Notes in Electrical Engineering, Vol. 74, pp. 125-140, Springer-Verlag, Dordrecht, 2011. [ISBN: 978-94-007-0088-8] DOI: 10.1007/978-94-007-0089-5_6. [CA86] Balanced Truncation Model Order Reduction for LTI Systems with many Inputs or Outputs Peter Benner and André Schneider In András Edelmayer (Ed.), Proceedings of the 19th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2010), 5-9 July, 2010, Budapest, Hungary, pp. 1971-1974, 2010. [ISBN: 978-963-311-370-7] [CA85] Numerical Solution of Differential Riccati Equations on Hybrid CPU-GPU Platforms Peter Benner, Pablo Ezzatti, Hermann Mena, Enrique S. Quintana-Ortí, and Alfredo Remón In Proceedings of ALAMA2010 - 2nd Meeting on Linear Algebra, Matrix Analysis, and Applications, Valencia, June 2nd-4th, 2010, 7 pages, 2010. [ISBN: 978-84-8363-544-5] [CA84] H∞ Control for Descriptor Systems - a Pencil Based Approach Peter Benner and Philip Losse Proceedings in Applied Mathematics and Mechanics, Vol. 9, pp. 645-646, 2009. DOI: 10.1002/pamm.200910292. [CA83] b>Computing the Eigenvalues of Hierarchical Matrices by LR-Cholesky Transformations Peter Benner and Thomas Mach Mathematisches Forschungsinstitut Oberwolfach, Report No. 37/2009, pp. 2107-2109, 2009. DOI: 10.4171/OWR/2009/37. [CA82] Model Reduction of Periodic Descriptor Systems Using Balanced Truncation Peter Benner, Mohammad-Sahadet Hossain, and Tatjana Stykel In P. Benner, M. Hinze, E. Jan W. ter Maten (Eds.) Model Reduction for Circuit Simulation, Lecture Notes in Electrical Engineering, Vol. 74, pp. 193-206, Springer-Verlag, Dordrecht, 2011. DOI: 10.1007/978-94-007-0089-5_11. Note: This is a corrected version, there is a typo on p. 196 in the book: In the definition of Pr(k), nk+1 should be nk! [CA81] Novel Model Reduction Techniques for Control of Machine Tools Peter Benner, Thomas Bonin, Heike Faßbender, Jens Saak, Andreas Soppa, and Michael Zaeh In Proceedings of the ANSYS Conference & 27. CADFEM Users' Meeting 2009, 18.-20. November 2009, Congress Center Leipzig, paper 2.9.18 (10 pages), 2009. [CA80] Using Hybrid CPU-GPU Platforms to Accelerate the Computation of the Matrix Sign Function Peter Benner, Pablo Ezzatti, Enrique S. Quintana-Ortí, and Alfredo Remón In H.-X. Lin, M. Alexander, M. Forsell, A. Knüpfer, R. Prodan, L. Sousa, and A. Streit (Eds.) Euro-Par 2009, Parallel Processing - Workshops., Lecture Notes in Computer Science, Vol. 6043, pp. 132-139, Springer-Verlag, Berlin/Heidelberg, 2010. DOI: 10.1007/978-3-642-14122-5_17. [CA79] Model Predictive Control for Nonlinear Parabolic Differential Equations Based on a Linear Quadratic Gaussian Design Peter Benner and Sabine Hein Proceedings in Applied Mathematics and Mechanics, Vol. 9, pp. 613-614, 2009. DOI: 10.1002/pamm.200910278. [CA78] Parametric Model Order Reduction Accelerated by Subspace Recycling Lihong Feng, Peter Benner, and Jan G. Korvink In Proceedings of 48th IEEE Conference on Decision and Control and 28th Chinese Control Conference, Shanghai, P.R. China, December 16-18, 2009, pp. 4328-4333, 2009. DOI: 10.1109/CDC.2009.5399717. [CA77] System-Theoretic Methods for Model Reduction of Large-Scale Systems: Simulation, Control, and Inverse Problems Peter Benner In I. Troch and F. Breitenecker (Eds.), Proceedings of MathMod 2009, Vienna, February 11-13, 2009, ARGESIM Report no. 35, pp. 126-145, 2009. [ISBN: 978-3-901608-35-3] [CA76] Efficient Balancing based MOR for Second Order Systems Arising in Control of Machine Tools Peter Benner and Jens Saak In I. Troch and F. Breitenecker (Eds.), Proceedings of MathMod 2009, Vienna, February 11-13, 2009, ARGESIM Report no. 35, pp. 1232-1243, 2009. [ISBN: 978-3-901608-35-3] [CA75] Advances in Balancing-Related Model Reduction for Circuit Simulation Peter Benner In J. Roos and L.R.J. Costa (Eds.), Scientific Computing in Electrical Engineering SCEE 2008, Mathematics in Industry, Vol. 14, pp. 469-482, Springer-Verlag, Berlin/Heidelberg, 2010. DOI: 10.1007/978-3-642-12294-1_58. [CA74] Model Order and Terminal Reduction Approaches via Matrix Decomposition and Low Rank Approximation Peter Benner and André Schneider In J. Roos and L.R.J. Costa (Eds.), Scientific Computing in Electrical Engineering SCEE 2008, Mathematics in Industry, Vol. 14, pp. 523-530, Springer-Verlag, Berlin/Heidelberg, 2010. DOI: 10.1007/978-3-642-12294-1_64. [CA73] Model Order Reduction for Systems with Non-Rational Transfer Function Arising in Computational Electromagnetics Lihong Feng and Peter Benner In J. Roos and L.R.J. Costa (Eds.), Scientific Computing in Electrical Engineering SCEE 2008, Mathematics in Industry, Vol. 14, pp. 515-522, Springer-Verlag, Berlin/Heidelberg, 2010. DOI: 10.1007/978-3-642-12294-1_63. [CA72] Efficient Solution of Large Scale Lyapunov and Riccati Equations Arising in Model Order Reduction Problems Jens Saak and Peter Benner Proceedings in Applied Mathematics and Mechanics, Vol. 8, No. 1, pp. 10085-10088, 2008. DOI: 10.1002/pamm.200810085 [CA71] Projection-Based Model Reduction for LTV Descriptor System Using Multipoint Krylov-Subspace Projectors Mohammad-Sahadet Hossain and Peter Benner Proceedings in Applied Mathematics and Mechanics, Vol. 8, No. 1, pp. 10081-10084, 2008. DOI: 10.1002/pamm.200810081 [CA70] Flow Stabilisation by Dirichlet Boundary Control René Schneider, Tobias Rothaug, and Peter Benner Proceedings in Applied Mathematics and Mechanics, Vol. 8, No. 1, pp. 10961-10962, 2008. DOI: 10.1002/pamm.200810961 [CA69] Parametric Model Reduction with Sparse Grids Ulrike Baur and Peter Benner In B. Lohmann and A. Kugi (Eds.), Tagungsband GMA-FA 1.30 "Modellbildung, Identifizierung und Simulation in der Automatisierungstechnik", Workshop in Anif, 24.-26.9.2008, pp. 262-271, 2008. [ISBN: 978-3-9502451-3-4] [CA68] Numerical Solution of Differential Riccati Equations Arising in Optimal Control for Parabolic PDEs Hermann Mena and Peter Benner Proceedings in Applied Mathematics and Mechanics, Vol. 7, No. 1, pp. 2060063-2060064, 2007. DOI: 10.1002/pamm.200700913 [CA67] A Robust Algorithm for Parametric Model Order Reduction Lihong Feng and Peter Benner Proceedings in Applied Mathematics and Mechanics, Vol. 7, No. 1, pp. 1021501-1021502, 2007. DOI: 10.1002/pamm.200700749 [CA66] Efficient Solution of Algebraic Bernoulli Equations Using H-Matrix Arithmetic Ulrike Baur and Peter Benner In K. Kunisch, G. Of, O. Steinbach (Eds.), Numerical Mathematics and Advanced Applications. Proceedings of ENUMATH 2007, the 7th European Conference on Numerical Mathematics and Advanced Applications, Graz, Austria, September 2007, pp. 127-134, Springer-Verlag, Heidelberg, 2008. [ISBN: 978-3-540-69776-3] DOI: 10.1007/978-3-540-69777-0_14 [CA65] Application of LQR Techniques to the Adaptive Control of Quasilinear Parabolic PDEs Jens Saak and Peter Benner Proceedings in Applied Mathematics and Mechanics, Vol. 7, No. 1, pp. 2060013-2060014, 2007. DOI: 10.1002/pamm.200700240 [CA64] Parallel Implementation of LQG Balanced Truncation for Large-Scale Systems José M. Badía, Peter Benner, Rafael Mayo, Enrique S. Quintana-Ortí, Gregorio Quintana-Ortí, and Alfredo Remón In I. Lirkov, S. Margenov, J. Waniewski (Eds.), Large-Scale Scientific Computing. 6th International Conference, LSSC 2007, Sozopol, Bulgaria, June 5-9, 2007, Revised Papers, Lecture Notes in Computer Science, Vol. 4818, pp. 227-234, Springer-Verlag, Berlin, Heidelberg, New York, 2008. [ISBN: 978-3-540-78825-6] DOI: 10.1007/978-3-540-78827-0_24 [CA63] γ-Iteration for Descriptor Systems Using Structured Matrix Pencils Peter Benner, Philip Losse, Volker Mehrmann, Lisa Poppe, and Timo Reis In Proceedings of the 18th International Symposium on Mathematical Theory of Networks and Systems (MTNS2008), Virginia Tech, Blacksburg, Virginia, USA, July 28-August 1, 2008 (CD Rom), 11 pages, 2008. [CA62] Using the Superposition Property for Model Reduction of Linear Systems with a Large Number of Inputs Peter Benner, Lihong Feng, and Evgenii B. Rudnyi In Proceedings of the 18th International Symposium on Mathematical Theory of Networks and Systems (MTNS2008), Virginia Tech, Blacksburg, Virginia, USA, July 28-August 1, 2008 (CD Rom), 12 pages, 2008. [CA61] Experimental evaluation of new SLICOT solvers for linear matrix equations based on the matrix sign function Vasile Sima and Peter Benner In Proceedings of 2008 IEEE Multi-conference on Systems and Control. 9th IEEE International Symposium on Computer-Aided Control Systems Design (CACSD), Hilton Palacio del Rio Hotel, San Antonio, Texas, U.S.A., September 3-5, 2008, S. 601-606, Omnipress, Madison, WI, 2008. [ISBN: 978-1-4244-2223-4] DOI: 10.1109/CACSD.2008.4627361 [CA60] Strategies for Parallelizing the Solution of Rational Matrix Equations José M. Badía, Peter Benner, Maribel Castillo, Heike Faßbender, Rafael Mayo, Enrique S. Quintana-Ortí, and Gregorio Quintana-Ortí In C. Bischof, M. Bücker, P. Gibbon, G.R. Joubert, T. Lippert, B. Mohr, and F. Peters (Eds.), Parallel Computing: Architectures, Algorithms and Applications. Proceedings of the International Conference ParCo 2007, NIC Series Volume 38, pp. 255-262, John von Neumann-Institut für Computing, Jülich, Germany, 2007. [ISBN: 978-3-9810843-4-4] [CA59] Parametrische Modellreduktion durch impliziten Momentenabgleich (Parametric Model Reduction by Implicit Moment Matching) [German] Lihong Feng and Peter Benner 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, pp. 34-47, 2007. [ISBN: 978-3-9502451-1-0] [CA58] A Note on Projection Techniques for Model Order Reduction of Bilinear Systems Lihong Feng and Peter Benner In Theodore E. Simos, George Psihoyios, and Ch. Tsitouras (Eds.), Numerical Analysis and Applied Mathematics, International Conference of Numerical Analysis and Applied Mathematics. Corfu, September 16-21, 2007, AIP Conference Proceedings Vol. 936, pp. 208-211, Melville NY: AIP, 2007. [ISBN: 978-0-7354-0447-2] DOI: 10.1063/1.2790110 [CA57] Fast System Identification and Model Reduction Solvers Vasile Sima and Peter Benner In B. R. Andrievsky and A.L. Fradkov (Eds.), Proceedings of the 9th IFAC Workshop "Adaptation and Learning in Control and Signal Processing" (ALCOSP 2007)}, August, 29-31, 2007, Saint Petersburg, Russia, IFAC-PapersOnline/Elsevier, 477-482, 2007. DOI: 10.3182/20070829-3-RU-4911.00074 Retrieve local copy. [CA56] MPC für nichtlineare partielle Differentialgleichungen parabolischen Typs (MPC for nonlinear partial differential equations of parabolic type) [German] Peter Benner and Sabine Görner In Tagungsband GMA-FA 1.40 "Theoretische Verfahren der Regelungstheorie" und GAMM-FA "Dynamik und Regelungstheorie", Workshops am Bostalsee, 24.-27.9.2006, pp. 91-101, 2006. [ISBN: 978-3-9810664-2-5] [CA55] MPC for the Burgers Equation Based on an LQG Design Peter Benner and Sabine Görner Proceedings in Applied Mathematics and Mechanics, Vol. 6, No. 1, pp. 781-782, 2006. DOI: 10.1002/pamm.200610371 [CA54] Passivity Preserving Model Reduction via a Structured Lanczos Method Peter Benner and Heike Faßbender Proceedings of the 2006 IEEE Conference on Computer-Aided Control Systems Design, Munich, Germany, October 4-6, 2006, pp. 8-13, IEEE 2006. [ISBN: 0-7803-9797-5] DOI: 10.1109/CACSD-CCA-ISIC.2006.4776616 [CA53] A MATLAB Repository for Model Reduction Based on Spectral Projection Peter Benner Proceedings of the 2006 IEEE Conference on Computer-Aided Control Systems Design, Munich, Germany, October 4-6, 2006, pp. 19-24, IEEE 2006. [ISBN: 0-7803-9797-5] DOI: 10.1109/CACSD-CCA-ISIC.2006.4776618 The corresponding software is (partially) available here. [CA52] Parallel Solution of Large-Scale and Sparse Generalized Algebraic Riccati Equations José M. Badía, Peter Benner, Rafael Mayo and Enrique S. Quintana-Ortí In W. E. Nagel, W. V. Walter, and W. Lehner (Eds.), 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. DOI: 10.1007/11823285_74 [CA51] A Numerical Algorithm for Robust Stabilization of Systems with Sector-Bounded Nonlinearity Peter Benner Preprints of the 5th IFAC Symposium on Robust Control Design, ROCOND'06, Toulouse, France, July 5-7, pp. 513-518, 2006. DOI: 10.3182/20060705-3-FR-2907.00088 [CA50] A SLICOT Implementation of a Modified Newton's Method for Algebraic Riccati Equations Vasile Sima and Peter Benner Proceedings of the 14th Mediterranean Conference on Control and Automation MED06, June 28-30, 2006, Ancona - Università Politecnica delle Marche, Italy (CD-ROM) (6 pages). [ISBN: 0-9786720-0-3] DOI: 10.1109/MED.2006.328740 [CA49] Parallel Algorithms for Balanced Truncation of Large-Scale Unstable Systems Sergio Barrachina, Peter Benner, Enrique S. Quintana-Ortí, and Gregorio Quintana-Ortí In Proceedings of 44th IEEE Conference on Decision and Control and European Control Conference ECC 2005, pp. 2248-2253, 2005. [ISBN: 0-7803-9568-9] DOI: 10.1109/CDC.2005.1582496 [CA48] New Hamiltonian Eigensolvers with Applications in Control Peter Benner and Daniel Kressner In Proceedings of 44th IEEE Conference on Decision and Control and European Control Conference ECC 2005, pp. 6551-6556, 2005. [ISBN: 0-7803-9568-9] DOI: 10.1109/CDC.2005.1583213 See also: Preprint #240, DFG Research Center MATHEON, Berlin, March 2005. [CA47] Passivitätserhaltende Modellreduktion mit Balancierungstechniken (in German) Peter Benner In Tagungsband GMA-FA 1.30 "Modellbildung, Identifikation und Simulation in der Automatisierungstechnik", Workshop am Bostalsee, 28.-30.9.2005, pp. 152-168, 2005. [ISBN: 3-9810664-1-3] [CA46] Parallel Order Reduction via Balanced Truncation for Optimal Cooling of Steel Profiles José M. Badía, Peter Benner, Rafael Mayo, Enrique S. Quintana-Ortí Gregorio Quintana-Ortí, and Jens Saak In J.C. Cunha, P.D. Mdeiros (Eds.), Euro-Par 2005 Parallel Processing: 11th International Euro-Par Conference, Lisbon, Portugal, August 30 - September 2, 2005, Lecture Notes in Computer Science, Vol. 3648, pp. 857-866, Springer-Verlag, Berlin, Heidelberg, New York, 2005. DOI: 10.1007/11549468_93 See also: Preprint SFB393/05-02, Sonderforschungsbereich 393 - Numerische Simulation auf massiv parallelen Rechnern, TU Chemnitz, January 2005. [CA45] Parallel Solution of Large-Scale Algebraic Bernoulli Equations with the Matrix Sign Function Method Sergio Barrachina, Peter Benner, and Enrique S. Quintana-Ortí In T. Skeie, C.-S. Yang (Eds.), Proceedings of the 2005 International Conference on Parallel Processing Workshops, 14-17 June 2005, Oslo, Norway), pp. 189-193, IEEE Computer Society Press, 2005. [ISBN: 0-7695-2381-1] DOI: 10.1109/ICPPW.2005.68 [CA44] A New Test for Passivity of Descriptor Systems Peter Benner and Delin Chu Oberwolfach Reports, Vol. 2, No. 1, pp. 571-574, 2005. [CA43] Efficient numerical solution of the LQR-problem for the heat equation Peter Benner and Jens Saak Proceedings in Applied Mathematics and Mechanics, Vol. 4, No. 1, pp. 648-649, 2004. DOI: 10.1002/pamm.200410305 [CA42] Parallel Algorithms for Balanced Truncation Model Reduction of Sparse Systems José Manuel Badía, Peter Benner, Rafael Mayo, and Enrique S. Quintana-Ortí In J. Dongarra, K. Madsen, J. Wasniewski (Eds.), Applied Parallel Computing: 7th International Conference, PARA 2004, Lyngby, Denmark, June 20-23, 2004. Revised Selected Papers, Lecture Notes in Computer Science, Springer-Verlag, Vol. 3732, pp. 267-275, 2006. [ISBN: 3-540-29067-4] Original available from SpringerLink, DOI: 10.1007/11558958_32 [CA41] Factorized solution of the Lyapunov equation by using the hierarchical matrix arithmetic Ulrike Baur and Peter Benner Proceedings in Applied Mathematics and Mechanics, Vol. 4, No. 1, pp. 658-659, 2004. DOI: 10.1002/pamm.200410310 [CA40] A Robust Numerical Method for Optimal H_inf Control Peter Benner, Ralph Byers, Volker Mehrmann, and Hongguo Xu Proceedings 43rd IEEE Conference on Decision and Control CDC2004, pp. 424-425, Omnipress, Madison, WI, 2004. [ISBN: 0-7803-8683-3] Very short version of [TR13]. [CA39] Computing Optimal Hankel Norm Approximations of Large-Scale Systems Peter Benner, Enrique S. Quintana-Ortí, and Gregorio Quintana-Ortí Proceedings of 43rd IEEE Conference on Decision and Control CDC2004, pp. 3078-3083, Omnipress, Madison, WI, 2004. [ISBN: 0-7803-8683-3] DOI: 10.1109/CDC.2004.1428939 The retrievable version is Preprint #116, DFG Research Center "Mathematics for Key Technologies", Berlin, April 2004. [CA38] Computing Passive Reduced-Order Models for Circuit Simulation Peter Benner, Enrique S. Quintana-Ortí, and Gregorio Quintana-Ortí In Proceedings International Conference on Parallel Computing in Electrical Engeneering PARELEC 2004, pp. 146-151, IEEE Computer Society, Los Alamitos, CA, 2004. [ISBN: 0-7695-2080-4] DOI: 10.1109/PCEE.2004.21 [CA37] Factorized Solution of Sylvester Equations with Applications in Control Peter Benner In B. De Moor, B. Motmans, J. Willems, P. Van Dooren, V. Blondel (Eds.), Proceedings Sixteenth International Symposium on: Mathematical Theory of Network and Systems, MTNS 2004, Leuven, Belgium, July 5-9, 2004. [CA36] BDF Methods for Large-Scale Differential Riccati Equations Peter Benner and Hermann Mena In B. De Moor, B. Motmans, J. Willems, P. Van Dooren, V. Blondel (Eds.), Proceedings Sixteenth International Symposium on: Mathematical Theory of Network and Systems, MTNS 2004, Leuven, Belgium, July 5-9, 2004. [CA35] Parallel Model Reduction of Large-Scale Linear Descriptor Systems via Balanced Truncation Peter Benner, Enrique S. Quintana-Ortí, and Gregorio Quintana-Ortí In M. Daydé, J.J. Dongarra, V. Hernández, J.M.L.M. Palma (Eds.), High Performance Computing for Computational Science - VECPAR 2004, Lecture Notes in Computer Science, No. 3402, pp. 340-353, Springer-Verlag, Berlin/Heidelberg 2005. [ISBN: 3-540-25424-2] [CA34] A Structure-Preserving Method for Generalized Algebraic Riccati Equations Based on Pencil Arithmetic Ralph Byers and Peter Benner Proceedings of the European Control Conference ECC'03, September 1-4, 2003, Cambridge, UK. (CD Rom). [CA33] Solving Linear Matrix Equations with SLICOT Vasile Sima and Peter Benner Proceedings of the European Control Conference ECC'03, September 1-4, 2003, Cambridge, UK. (CD Rom). [CA32] Parallel Model Reduction of Large-Scale Unstable Systems Peter Benner, Maribel Castillo, Enrique S. Quintana-Ortí, and Gregorio Quintana-Ortí In G.R. Joubert, W.E. Nagel, F.J. Peters, W.V Walter (Eds.), Parallel computing: Software Technology, Algorithms, Architectures & Applications, Advances in Parallel Computing, Vol. 13, pp. 251-258, Elsevier B.V (North-Holland), 2004. [ISBN: 0-444-51689-1] [CA31] Solving Algebraic Riccati Equations with SLICOT Peter Benner and Vasile Sima Proceedings of the 11th Mediterranean Conference on Control & Automation MED'03, June 18-20, 2003, Rhodes (CD Rom), paper IV01-1 (6 pages), 2003. [CA30] A Service for Remote Model Reduction of Very Large Linear Systems Peter Benner, Rafael Mayo, Enrique S. Quintana-Ortí and Gregorio Quintana-Ortí In Proceedings of 17th International Parallel & Distributed Processing Symposium (IPDPS 2003), paper W16-PDSECA-22, 6 pages. IEEE Computer Society Press, 2003. [ISBN: 0-7695-1926-1] DOI: 10.1109/IPDPS.2003.1213474 [CA29] 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. DOI: 10.1002/pamm.200310222 [CA28] Solving Large Sparse Lyapunov Equations on Parallel Computers José Manuel Badía, Peter Benner, Rafael Mayo, and Enrique S. Quintana-Ortí In B. Monien, R. Feldmann (Eds.), Euro-Par 2002 Parallel Processing, Lecture Notes in Computer Science, No. 2400, pp. 687-690, Springer-Verlag, 2002. [ISBN: 3-540-44049-6] DOI: 10.1007/3-540-45706-2_95 [CA27] A Sparse Approximate Inverse Preconditioner for the Method of Moments Accelerated with the Multilevel Fast Multipole Method Peter Benner, Martin Brüning, Angelika Bunse-Gerstner, Rainer Bunger, Jan M. Reiter, and Jan Ritter Proceedings of 2002 IEEE Intl. Symp. on Antennas & Propagation and USN/URSI Meeting, June 16-21, 2002, San Antonio, Texas, pp. 602-605. DOI: 10.1109/APS.2002.1016157 [CA26] A Web Service for Model Reduction of Large-Scale Linear Systems on a Cluster José Manuel Badía, Peter Benner, Maribel Castillo, Rafael Mayo, Enrique S. Quintana-Ortí, and Gregorio Quintana-Ortí Proceedings of XIII Jornadas de Paralelismo, Lleida (Spain), pp. 383-388, 2002. [ISBN: 84-8409-159-7] [CA25] Remote Parallel Model Reduction of Linear Time-Invariant Systems Made Easy Peter Benner, Rafael Mayo, Enrique S. Quintana-Ortí, and Gregorio Quintana-Ortí In J.M.L.M. Palma, V. Hernández, J.J. Dongarra, and A.A. Sousa (Eds.), High Performance Computing for Computational Science - VECPAR 2002, Lecture Notes in Computer Science, Springer-Verlag, No. 2565, pp. 255-268, 2003. [ISBN: 3-540-00852-7] DOI: 10.1007/3-540-36569-9_16 Version in on-site conference proceedings: A Mail Service for Parallel Model Reduction of Linear Time-Invariant Systems Proceedings of VECPAR'02, 5th Intl. Meeting on High-Performance Computing for Computational Science, Porto, Portugal, June 26-28, 2002, pp. 735-746. [CA24] Enhanced Services for Remote Model Reduction of Large-Scale Dense Linear Systems Peter Benner, Rafael Mayo, Enrique S. Quintana-Ortí, and Gregorio Quintana-Ortí In J. Fagerholm, J. Haataja, J. Järvinen, M. Lyly, P. Raback, and V. Savolainen (Eds.), Applied Parallel Computing. PARA'02 6th International Conference, Espoo (Finland), 2002, Lecture Notes in Computer Science, No. 2367, pp. 329-338, Springer-Verlag, 2002. [ISBN: 3-540-43786-X] DOI: 10.1007/3-540-48051-X_33 [CA23] A Coarse-Grain Parallel Solver for Riccati Equations Peter Benner, Rafael Mayo, Enrique S. Quintana-Ortí, and Vicente Hernández In G.R. Joubert, A. Murli, F.J. Peters, M. Vanesschi (Eds.), Parallel Computing. Advances and Current Issues. Proceedings of the International Conference ParCo2001, pp. 274-281, Imperial College Press, London, UK, 2002. [ISBN: 1-86094-315-2] [CA22] Efficient Algorithms for Large-Scale Quadratic Matrix Equations Peter Benner Proceedings in Applied Mathematics and Mechanics, Vol. 1, No. 1, pp. 492-495, 2002. [CA21] Computing Roots of Matrix Products Peter Benner and Heike Faßbender Zeitschrift für angewandte Mathematik und Mechanik, Vol. 81, Suppl. 3, pp. S717-S718, 2001. [CA20] On a Numerical Method for the Regularization of Descriptor Systems Peter Benner Zeitschrift für angewandte Mathematik und Mechanik, Vol. 81, Suppl. 3, pp. S707-S708, 2001. [CA19] Partial Stabilization of Large-Scale Discrete-Time Linear Control Systems Peter Benner, Maribel Castillo, and Enrique S. Quintana-Ortí Proceedings of the 2001 ICPP Workshops (Workshop on High Performance Scientific and Engineering Computing with Applications), Valencia, September 3-7, 2001, pp. 93-98, IEEE Computer Society Press, Los Alamitos, CA, 2001. [ISBN: 0-7695-1260-7] DOI: 10.1109/ICPPW.2001.951856 [CA18] PSLICOT Routines for Model Reduction of Stable Large-Scale Systems Peter Benner, Enrique S. Quintana-Ortí, and Gregorio Quintana-Ortí Proceedings of the Third NICONET Workshop on Numerical Software in Control Engineering, Louvain-la-Neuve, Belgium, January 19, 2001, pp. 39-44. [CA17] Model Reduction of Large-Scale Dense Systems Peter Benner, Enrique S. Quintana-Ortí, and Gregorio Quintana-Ortí Proceedings of the IEE UKACC International Conference CONTROL 2000, Cambridge, UK, 4-7 September 2000, IEE ZZ057 (CD Rom), 2000. [ISBN: 0-85296-240-1] [CA16] Singular Perturbation Approximation of Large, Dense Linear Systems Peter Benner, Enrique S. Quintana-Ortí, and Gregorio Quintana-Ortí Proceedings of the 2000 IEEE International Symposium on Computer Aided Control System Design, Anchorage, Alaska, USA, September 25-27, 2000, pp. 255-260. Omnipress, Madison, WI, 2000. DOI: 10.1109/CACSD.2000.900220 [CA15] Solving Discrete-Time Periodic Riccati Equations on a Cluster Peter Benner, Rafael Mayo, Enrique S. Quintana-Ortí and Vicente Hernández In A. Bode, T. Ludwig, W. Karl, and R. Wismüller (Eds.), Euro-Par 2000 Parallel Processing, Lecture Notes in Computer Science, No. 1900, pp. 824-828, Springer-Verlag, 2000. [ISBN: 3-540-67956-1] DOI: 10.1007/3-540-44520-X_113 [CA14] Efficient Numerical Model Reduction Methods for Discrete-Time Systems Peter Benner, Enrique S. Quintana-Ortí, and Gregorio Quintana-Ortí In I. Troch, F. Breitenecker (Eds.), Proceedings of the IMACS Symposium on Mathematical Modelling, 3rd MATHMOD Vienna, Vienna University of Technology, Austria, February 2-4, 2000, Vol. 1, pp. 277-280, ARGESIM Reports No. 15. [ISBN: 3-901608-15-X] [CA13] Arithmetic for Rectangular Matrix Pencils Peter Benner and Ralph Byers In O. Gonzalez (editor), Proceedings of the 1999 IEEE International Symposium on Computer Aided Control System Design, Kohala Coast-Island of Hawaii, Hawaii, USA, August 22-27, 1999, pp. 75-80. [ISBN: 0-7803-5449-4] DOI: 10.1109/CACSD.1999.808627 [CA12] Numerical Solution of Linear-Quadratic Control Problems for Descriptor Systems Peter Benner, Ralph Byers, Volker Mehrmann, and Hongguo Xu In O. Gonzalez (editor), Proceedings of the 1999 IEEE International Symposium on Computer Aided Control System Design, Kohala Coast-Island of Hawaii, Hawaii, USA, August 22-27, 1999, pp. 46-51. [ISBN: 0-7803-5449-4] DOI: 10.1109/CACSD.1999.808622 [CA11] Solving Linear and Quadratic Matrix Equations on Distributed Memory Parallel Computers Peter Benner, Enrique S. Quintana-Ortí, and Gregorio Quintana-Ortí In O. Gonzalez (editor), Proceedings of the 1999 IEEE International Symposium on Computer Aided Control System Design, Kohala Coast-Island of Hawaii, Hawaii, USA, August 22-27, 1999, pp. 64-69. [ISBN: 0-7803-5449-4] DOI: 10.1109/CACSD.1999.808625 [CA10] Initializing Newton's Method for Discrete-Time Algebraic Riccati Equations Using the Butterfly SZ Algorithm Peter Benner and Heike Faßbender In O. Gonzalez (editor), Proceedings of the 1999 IEEE International Symposium on Computer Aided Control System Design, Kohala Coast-Island of Hawaii, Hawaii, USA, August 22-27, 1999, pp. 70-74. [ISBN: 0-7803-5449-4] DOI: 10.1109/CACSD.1999.808626 [CA9] Solving Stable Stein Equations on Distributed Memory Computers Peter Benner, Enrique S. Quintana-Ortí, and Gregorio Quintana-Ortí In P. Amestoy, P. Berger, M. Daydé, I. Duff, V. Frayssé, L. Giraud and D. Ruiz (Eds.), EuroPar'99 Parallel Processing, Lecture Notes in Computer Science, No. 1685, Springer-Verlag, 1999, pp. 1120-1123. [ISBN 3-540-66443-2] DOI: 10.1007/3-540-48311-X_156 [CA8] Accelerating Newton's Method for Discrete-Time Algebraic Riccati Equations Peter Benner In A. Beghi, L. Finesso, and G. Picci (Eds.), Mathematical Theory of Networks and Systems. Proceedings of the MTNS-98 Symposium held in Padova, Italy, July, 1998, pp. 569-572, Il Poligrafo, Padova, 1998. [ISBN: 88-7115-117-8] [CA7] An Arithmetic for Matrix Pencils Peter Benner and Ralph Byers In A. Beghi, L. Finesso, and G. Picci (Eds.), Mathematical Theory of Networks and Systems. Proceedings of the MTNS-98 Symposium held in Padova, Italy, July, 1998, pp. 573-576, Il Poligrafo, Padova, 1998. [ISBN: 88-7115-117-8] [CA6] Improving the efficiency and accuracy of the MATLAB Control Toolbox using SLICOT-based gateways Vasile Sima, Peter Benner, Sabine Van Huffel, and Andras Varga In A. Beghi, L. Finesso, and G. Picci (Eds.), Mathematical Theory of Networks and Systems. Proceedings of the MTNS-98 Symposium held in Padova, Italy, July, 1998, pp. 673-676, Il Poligrafo, Padova, 1998. [ISBN: 88-7115-117-8] [CA5] Efficient Solution of Coupled Lyapunov Equations via Matrix Sign Function Iteration. Peter Benner, José M. Claver, and Enrique S. Quintana-Ortí Proceedings of the 3rd Portuguese Conference on Automatic Control CONTROLO'98, Coimbra, September 9-11, 1998, pp. 205-210. [CA4] Numerical Solution of Special Algebraic Riccati Equations via an Exact Line Search Method Peter Benner Proceedings of the European Control Conference ECC97 (CD-ROM), Paper 786, BELWARE Information Technology, Waterloo (B), 1997. [CA3] A New Method for the Hamiltonian Eigenvalue Problem Peter Benner, Volker Mehrmann, and Hongguo Xu Proceedings of the European Control Conference ECC97(CD-ROM), Paper 785, BELWARE Information Technology, Waterloo (B), 1997. [CA2] Disk Functions and their Relationship to the Matrix Sign Function Peter Benner and Ralph Byers Proceedings of the European Control Conference ECC97 (CD-ROM), Paper 936, BELWARE Information Technology, Waterloo (B), 1997. [CA1] Step Size Control for Newton's Method Applied to Algebraic Riccati Equations Peter Benner and Ralph Byers Proceedings of the Fifth SIAM Conference on Applied Linear Algebra, pp. 177-181, SIAM, Philadelphia, 1994.

## Technical reports

NOTE: The technical reports listed below either represent papers that will not be published elsewhere or longer versions of published articles (e.g., containing more algorithmic details or numerical examples).

 [TR31] MORLAB-3.0 - Model Order Reduction Laboratory Peter Benner, Steffen W. R. Werner DOI: 10.5281/zenodo.842659 September 2017 [TR30] Example Setups of Navier-Stokes Equations with Control and Observation: Spatial Discretization and Representation via Linear-quadratic Matrix Coefficients Maximilian Behr, Peter Benner, and Jan Heiland arXiv e-print 1707.08711 [cs.MS] July 2017 [TR29] Balanced Truncation of Linear Time-Invariant Systems at a Single Frequency Xin Du, Peter Benner, Guanghong Yang, and Dan Ye MPI Magdeburg Preprint MPIMD/13-02, January 2013. [TR28] H2-Optimality Conditions for Structured Dynamical Systems Christopher Beattie and Peter Benner MPI Magdeburg Preprint MPIMD/14-18, October 2014. [TR27] Computational Solutions of a Family of Generalized Procrustes Problems Jens Fankhänel and Peter Benner Preprintreihe der Fakultät für Mathematik, Preprint 14-06, TU Chemnitz, June 2014. [TR26] Numerical Solution of Eigenvalue Problems for Alterating Matrix Polynomials and Their Application in Control Problems for Descriptor Systems Peter Benner, Philip Losse, Volker Mehrmann, and Matthias Voigt MPI Magdeburg Preprint MPIMD/13-24, December 2013. [TR25] FORTRAN 77 Subroutines for the Solution of Skew-Hamiltonian/Hamiltonian Eigenproblems - Part II: Implementation and Numerical Results Peter Benner, Matthias Voigt, and Vasile Sima SLICOT Working Note 2013-2, August 2013. [TR24] FORTRAN 77 Subroutines for the Solution of Skew-Hamiltonian/Hamiltonian Eigenproblems - Part I: Algorithms and Applications Peter Benner, Matthias Voigt, and Vasile Sima SLICOT Working Note 2013-1, August 2013. [TR23] Sparse-Dense Sylvester Equations in H2-Model Order Reduction Peter Benner, Martin Köhler, and Jens Saak MPI Magdeburg Preprint MPIMD/11-11, December 2011. [TR22] Model Predictive Control Based on an LQG Design for Time-Varying Linearizations Peter Benner and Sabine Hein Chemnitz Scientific Computing Preprints 09-07, TU Chemnitz, November 2009/March 2010. [TR21] A Galerkin-Newton-ADI Method for Solving Large-Scale Algebraic Riccati Equations Peter Benner and Jens Saak Preprint SPP1253-090, DFG Priority Programme 1253 Optimization with Partial Differential Equations, January 2010. [TR20] Projection-Based Model Reduction for Time-Varying Descriptor Systems: New Results Mohammad-Sahadet Hossain and Peter Benner MPI Magdeburg Preprint MPIMD/12-04, February 2012. [TR19] The SLICOT Toolboxes - a Survey Peter Benner, Daniel Kressner, Vasile Sima, and Andras Varga SLICOT Working Note 2009-1, August 2009. [TR18] Modellordnungsreduktion für strukturmechanische FEM-Modelle von Werkzeugmaschinen [German] Peter Benner Project Report, Chemnitz University of Technology, May 2008. [TR17] Balanced Truncation Model Reduction of Large and Sparse Generalized Linear Systems José M. Badía, Peter Benner, Rafael Mayo, Enrique S. Quintana-Ortí, Gregorio Quintana-Ortí, and Alfredo Remón Chemnitz Scientific Computing Preprints 06-04, TU Chemnitz, November 2006. [TR16] Solving Large-Scale Generalized Algebraic Bernoulli Equations via the Matrix Sign Function Sergio Barrachina, Peter Benner and Enrique S. Quintana-Ortí Preprint SFB393/05-15, Sonderforschungsbereich 393 - Numerische Simulation auf massiv parallelen Rechnern, TU Chemnitz, December 2005. [TR15] Linear-Quadratic Regulator Design for Optimal Cooling of Steel Profiles Peter Benner and Jens Saak Preprint SFB393/05-05, Sonderforschungsbereich 393 - Numerische Simulation auf massiv parallelen Rechnern, TU Chemnitz, April 2005. [TR14] Robust Numerical Methods for Robust Control Peter Benner, Ralph Byers, Volker Mehrmann, and Hongguo Xu Preprint 06-2004, Institut für Mathematik, TU Berlin, February 2004. [TR13] Experimental Evaluation of the Parallel Model Reduction Routines in PSLICOT Peter Benner, Enrique S. Quintana-Ortí, and Gregorio Quintana-Ortí SLICOT Working Note 2002-7, August 2002. [TR12] Model Reduction Based on Iterative Solvers for Computing the System Gramians Peter Benner NICONET Newsletter, Vol. 8, pp. 5-7, 2002. [TR11] Schnelle Löser zur Berechnung elektromagnetischer Felder (in German) Peter Benner, Martin Brüning, and Angelika Bunse-Gerstner Project report, Zentrum für Technomathematik, Universität Bremen and EADS Bremen, March 2001. [TR10] Numerical Computation of Deflating Subspaces of Embedded Hamiltonian Pencils Peter Benner, Ralph Byers, Volker Mehrmann, and Hongguo Xu Preprint SFB393/99-15, Sonderforschungsbereich 393 - Numerische Simulation auf massiv parallelen Rechnern, TU Chemnitz, June 1999. [TR9] A Unified Deflating Subspace Approach for Classes of Polynomial and Rational Matrix Equations Peter Benner, Ralph Byers, Volker Mehrmann, and Hongguo Xu Preprint SFB393/00-05, Sonderforschungsbereich 393 - Numerische Simulation auf massiv parallelen Rechnern, TU Chemnitz, January 2000. [TR8] DAREX - A Collection of Benchmark Examples for Discrete-Time Algebraic Riccati Equations (Version 2.0) Jörn Abels and Peter Benner SLICOT Working Note 1999-16, December 1999. This report updates [TR2] [TR7] CAREX - A Collection of Benchmark Examples for Continuous-Time Algebraic Riccati Equations (Version 2.0) Jörn Abels and Peter Benner SLICOT Working Note 1999-14, November 1999. This report updates [TR1] [TR6] SLICOT Drives Tractors! Peter Benner and Heike Faßbender NICONET Newsletter, Vol. 2, pp. 17-22, 1999. See also: NICONET Report 1999-2, Working Group on Software, February 1999. [TR5] HAMEV and SQRED: Fortran 77 Subroutines for Computing the Eigenvalues of Hamiltonian Matrices Using Van Loans's Square Reduced Method Peter Benner, Ralph Byers, and Eric Barth Preprint SFB393/96-06, Sonderforschungsbereich 393 - Numerische Simulation auf massiv parallelen Rechnern, TU Chemnitz-Zwickau, May 1996. [TR4] A Restarted Symplectic Lanczos Method for the Hamiltonian Eigenvalue Problem Peter Benner and Heike Faßbender Technical Report SPC 95_28, TU Chemnitz-Zwickau, October 1995, Errata. [TR3] Newton's Method with Exact Line Search for Solving the Algebraic Riccati Equation Peter Benner and Ralph Byers Technical Report SPC 95_24, TU Chemnitz-Zwickau, October 1995. [TR2] A Collection of Benchmark Examples for the Numerical Solution of Algebraic Riccati Equations II: Discrete-Time Case Peter Benner, Alan J. Laub, and Volker Mehrmann Technical Report SPC 95_23, TU Chemnitz-Zwickau, Dezember 1995, Errata. [TR1] A Collection of Benchmark Examples for the Numerical Solution of Algebraic Riccati Equations I: Continuous-Time Case Peter Benner, Alan J. Laub, and Volker Mehrmann Technical Report SPC 95_22, TU Chemnitz-Zwickau, October 1995.

## Lecture notes

 [L3] Advanced Computational Methods for CACSD Peter Benner and Paul Van Dooren Tutorial workshop held at European Control Conference 2003, Cambridge, UK, September 1-4, 2003. Revised version June 22, 2004. [L2] Numerik für Ingenieure und Naturwissenschaftler (in German) Angelika Bunse-Gerstner, Peter Benner, and Heike Faßbender Zentrum für Technomathematik, Universität Bremen, Oktober 2000. [L1] Mathematik in der Berufspraxis (in German) Peter Benner (editor), Berichte aus der Technomathematik, Report 99-05, August 1999. Collection of protocols from a lecture series given by mathematicians from industry during the summer term 1998.

## Theses

 [T2] Contributions to the Numerical Solution of Algebraic Riccati Equations and Related Eigenvalue Problems Peter Benner Dissertation, Fakultät für Mathematik, TU Chemnitz-Zwickau, 1997. Published by Logos-Verlag, Berlin, June 1997 [ISBN: 3-931216-70-5]. Summary (in German). [T1] Ein orthogonal symplektischer Multishift Algorithms zur Lösung der algebraischen Riccatigleichung (in German) Peter Benner Diplomarbeit (Master's Thesis), Institut für Geometrie und Praktische Mathematik, RWTH Aachen, March 1993.

## Other publications

 [OP18] Drogen, Herbizide und numerische Simulation Peter Benner, Hermann Mena, and René Schneider Mitteilungen der Deutschen Mathematiker-Vereinigung, Vol. 23, No. 4, pp. 222–225, 2015. Translated to German from [OP12]. [OP17] Nanoelectronic COupled Problems Solutions - nanoCOPS E. Jan W. ter Maten, Piotr Putek, Michael Günther, Caren Tischendorf, Christian Strohm, Wim Schoenmaker, Peter Meuris, Bart De Smedt, Peter Benner, et al. Preprint BUW-IMACM 15/36, Bergische Universität Wuppertal, Germany, 2015. [OP16] The NanoCOPS Project on Algorithms for Nanoelectronic Coupled Problems Solutions R. Janssen, J. ter Maten, C. Tischendorf, H.-G. Brachtendorf, K. Bittner, W. Schoenmaker, P. Benner, L. Feng, R. Pulch, F. Deleu, and A. Wieers In B. Schrefler, E. Oñate, and M. Papadrakakis (Eds.), VI International Conference on Computational Methods for Coupled Problems in Science and Engineering, COUPLED Problems 2015, Venice, Italy, pp. 1029-1036, 2015. [OP15] nanoCOPS: Nanoelectronic COupled Problem Solutions P. Benner, K. Bittner, H.-G. Brachtendorf, H. De Gersen, F. Deleu, L. Feng, T. Götthans, M. Günther, R. Janssen, T. Kratochvíl, Q. Liu, P. Meuris, R. Pulch, P- Putek, P. Reynier, S. Schöps, J. Schneider, W. Schoenmaker, C. Strohm, E. Jan W. ter Maten, C. Tischendorf, and A. Wieers ECMI Newsletter, Vol. 56, pp. 62-67, 2014. [OP14] nanoCOPS: Parametric Modeling and Model Order Reduction of Coupled Problems Peter Benner, Lihong Feng, Peter Meuris, and Wim Schoenmaker ECMI Newsletter, Vol. 56, pp. 68-69, 2014. [OP13] Das Max-Planck-Institut für Dynamik komplexer technischer Systeme Peter Benner, Gabriele Ebel, Victoria Grimm, and Andreas Seidel-Morgenstern In G. Ihlow, H. Just, Ch. Kretzschmann, M. Maas, L. Modes, A. Neubauer, K. Pusch, H.-J. Rasehorn, R. Schmidt, J. Schulz, and J. Weschke (Eds.), Der Maschinen- und Anlagenbau in der Region Magdeburg zu Beginn des 21. Jahrhunderts, pp. 590-594, Verlag Delta-D, Magdeburg, 2014. [ISBN: 978-3-935831-51-2] [OP12] Drugs, Herbicides, and Numerical Simulation Peter Benner, Hermann Mena, and René Schneider Snapshots of Modern Mathematics from Oberwolfach, No. 10/2014, 9 pages, September 2014. [OP11] Compact Models for Simulation, Control and Optimization of Complex Dynamical Systems Peter Benner Yearbook 2011/12 of the Max Planck Society, May 2012. [OP10] Modeling and Optimal Control of Chemical Mechanical Planarization Susan Dürigen, Peter Benner, Uwe Stöckgen, and Jens Heinrich In T. Lery, M. Primicerio, M.J. Esteban, M. Fontes, Y. Maday, V. Mehrmann, G. Quadros, W. Schilders, A. Schuppert, and H. Tewkesbury (Eds.), European Success Stories in Industrial Mathematics, p. 76, Springer-Verlag, Berlin/Heidelberg, 2011. [ISBN: 978-3-642-23847-5] [OP9] O-MOORE-NICE! New methodologies and algorithms for design and simulation of analog integrated circuits Joost Rommes, Davit Harutyunyan, Michael Striebel, Luciano De Tommasi, Jan ter Maten, Peter Benner, Tom Dhaene, Wil Schilders, and Marcel Sevat ECMI Newsletter, Vol. 47, pp. 17-20, 2010. [OP8] The GAMM Activity Group Applied and Numerical Linear Algebra Peter Benner and Daniel Kressner IMAGE (Bulletin of the ILAS), Vol. 43, pp. 25-26, 2009. [OP7] System Reduction for Nanoscale IC Design (SyreNe) Peter Benner ECMI Newsletter, Vol. 45, pp. 18-21, 2009. [OP6] Model Reduction at ICIAM '07 Peter Benner SIAM News, Vol. 40, No. 8, pp. 16-17, October 2007. [OP5] Model Reduction using Center and Inertial Manifolds Peter Benner Berlin-Braunschweig-Chemnitz Workshop Recent Advances in Model Reduction, TU Chemnitz, 27 November 2006. [OP4] NICONET participation in the 7th European Control Conference, ECC03, University of Cambridge, UK, September 1-4, 2003 Peter Benner NICONET Newsletter, Vol. 11, pp. 5-8, 2003. [OP3] The freeware numerical subroutine library SLICOT for systems and control theory Ad van den Boom, Vasile Sima, Peter Benner, and Sabine Van Huffel Abstracts 17-th Benelux Meeting on Systems and Control, Mierlo, The Netherlands, March 1998. (!WinWord document!) [OP2] NICONET - Ein europäisches Netzwerk zur Numerik in der Kontrolltheorie (in German) Peter Benner Kopien der Vortragsfolien, Gemeinsamer Workshop GAMM-Fachausschuß "Dynamik und Regelungstheorie" und VDI/VDE-GMA Ausschuß 1.4 "Theoretische Verfahren der Regelungstechnik", Kassel, March 2-3, 1998, pp. 185-193. [OP1] Collections of Benchmark Examples in Control Peter Benner and Volker Mehrmann WGS Newsletter, Vol. 10, pp. 7-8, 1996.
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