P. Benner

Peter Benner, Ralph Byers, R. Byers, 1999, Proceedings of the 1999 IEEE International Symposium on Computer Aided Control System Design (Cat. No.99TH8404).

An Arithmetic for Matrix PencilsPeter

P. Benner, 1998 .

An Arithmetic for Matrix Pencils

Peter Benner, Ralph Byers, R. Byers, 1998 .

ByersNewton ' s Method with ExactLine Search for Solving theAlgebraic Riccati Equation

R. Byers, P. Benner, 2010 .

CAREX - A Collection of Benchmark Examples for Continuous-Time Algebraic Riccati Equations (Version

Peter Benner, P. Benner, J. Abels, 1999 .

A collection of benchmark examples for the numerical solution of algebraic Riccati equations I: Continuous-time case

Alan J. Laub, Peter Benner, Volker Mehrmann, 1998 .

Benchmarks for the numerical solution of algebraic Riccati equations

A. Laub, V. Mehrmann, P. Benner, 1997 .

Newton ' s Method with Exact Line Search for Solving theAlgebraic Riccati Equation

Peter Benner, Ralph Byers, R. Byers, 1995 .

Solving Large-Scale Generalized Algebraic Bernoulli Equations via the Matrix Sign Function

Peter Benner, Sergio Barrachina, S. Barrachina, 2005 .

Optimal Control of a Stefan Problem Fully Coupled with Incompressible Navier-Stokes Equations and Mesh Movement

P. Benner, J. Saak, J. Heiland, 2018, Analele Universitatii "Ovidius" Constanta - Seria Matematica.

Model Order Reduction of Differential Algebraic Equations Arising from the Simulation of Gas Transport Networks

Sara Grundel, Peter Benner, Tanja Clees, 2014 .

Improved balancing for general and structured eigenvalue problems

P. Benner, V. Sima, 2016, 2016 20th International Conference on System Theory, Control and Computing (ICSTCC).

Parametric model order reduction of thermal models using the bilinear interpolatory rational Krylov algorithm

Peter Benner, P. Benner, A. Bruns, 2015 .

Generalized inverses of periodic matrix pairs and model reduction for periodic control systems

P. Benner, Mohammad-Sahadet Hossain, 2014, 2014 International Conference on Electrical Engineering and Information & Communication Technology.

SLICOT Working Note 2013-2 FORTRAN 77 Subroutines for the Solution of Skew-Hamiltonian/Hamiltonian Eigenproblems Part II: Implementation and Numerical Results

P. Benner, M. Voigt, V. Sima, 2013 .

SLICOT Working Note 2013-1 FORTRAN 77 Subroutines for the Solution of Skew-Hamiltonian/Hamiltonian Eigenproblems Part I: Algorithms and Applications

P. Benner, M. Voigt, V. Sima, 2013 .

Efficient solution of large scale Lyapunov and Riccati equations arising in model order reduction problems

P. Benner, J. Saak, 2008 .

N A ] 2 N ov 2 01 8 A numerical comparison of solvers for large-scale , continuous-time algebraic Riccati equations

P. Benner, J. Saak, Zvonimir Bujanovic, 2018 .

A numerical comparison of solvers for large-scale, continuous-time algebraic Riccati equations

Peter Benner, Patrick Kürschner, Jens Saak, 2018 .

The RADI algorithm for solving large-scale algebraic Riccati equations

Peter Benner, Patrick Kürschner, Jens Saak, 2015 .

A low-rank quadratic ADI algorithm for algebraic Riccati equations

P. Benner, J. Saak, Zvonimir Bujanovic, 2015 .

Efficient numerical solution of the LQR‐problem for the heat equation

Peter Benner, Jens Saak, P. Benner, 2004 .

Comparison of model order reduction methods for optimal sensor placement for thermo-elastic models*

Peter Benner, Roland Herzog, Jens Saak, 2019 .

Matrix Equations and Model Reduction

P. Benner, T. Breiten, Lihong Feng, 2015 .

Two connections between the SR and HR eigenvalue algorithms

Peter Benner, Heike Faßbender, David S. Watkins, 1998 .

Comparison of Methods for Parametric Model Order Reduction of Time-Dependent Problems

Peter Benner, Bernard Haasdonk, Ulrike Baur, 2017 .

Comparison of methods for parametric model order reduction of instationary problems

P. Benner, B. Haasdonk, Ulrike Baur, 2015 .

Pr epr int Cross-Gramian-Based Dominant Subspaces

P. Benner, Christian Himpe, 2019 .

On optimality of interpolation-based low-rank approximations of large-scale matrix equations

Peter Benner, Tobias Breiten, P. Benner, 2012 .

2 Computation of Reduced Order Models by Balanced Truncation

P. Benner, J. Saak, 2008 .

A NOTE ON THE NUMERICAL SOLUTION OF COMPLEX HAMILTONIAN AND SKEW-HAMILTONIAN EIGENVALUE PROBLEMS

Peter Benner, Volker Mehrmann, Hongguo Xu, 1999 .

A Hybrid Method for the Numerical Solution of Discrete-Time Algebraic Riccati Equations

Peter Benner, Heike Faßbender, P. Benner, 2001 .

A structured pseudospectral method for $$\mathcal {H}_\infty $$H∞-norm computation of large-scale descriptor systems

Peter Benner, Matthias Voigt, P. Benner, 2013, Math. Control. Signals Syst..

Faster and more accurate computation of the $\mathcal{H}_\infty$ norm via optimization

P. Benner, Tim Mitchell, 2017 .

SR and SZ Algorithms for the Symplectic (Butterfly) Eigenproblem

Peter Benner, David S. Watkins, P. Benner, 1999 .

Numerical Methods for Linear Quadratic and H∞ Control Problems

Peter Benner, Volker Mehrmann, Ralph Byers, 1999 .

The Symplectic Eigenvalue Problem, the Butterfly Form, the SR Algorithm, and the Lanczos Method

Peter Benner, Heike Faßbender, P. Benner, 1998 .

Model Order Reduction for PDE Constrained Optimization

Stefan Volkwein, Peter Benner, Ekkehard W. Sachs, 2014 .

Parallel Algorithms for Balanced Truncation of Large-Scale Unstable Systems

E. S. Quintana-Ortí, E. S. Quintana‐Ortí, S. Barrachina, 2005, Proceedings of the 44th IEEE Conference on Decision and Control.

Balanced Truncation for Unstable Systems and Algebraic Bernoulli Equations

P. Benner, 2007 .

Peter Benner Lihong Feng Model Order Reduction for Coupled Problems

Peter Benner, Lihong Feng, P. Benner, 2015 .

Time-dependent Dirichlet Conditions in Finite Element Discretizations

Peter Benner, Jan Heiland, P. Benner, 2015 .

Optimal Control-Based Feedback Stabilization of Multi-field Flow Problems

P. Benner, E. Bänsch, J. Saak, 2014 .

Second order to second order balancing for index-1 vibrational systems

P. Benner, J. Saak, P. Benner, 2012, 2012 7th International Conference on Electrical and Computer Engineering.

γ-Iteration for Descriptor Systems Using Structured Matrix Pencils

Peter Benner, Volker Mehrmann, Timo Reis, 2008 .

Recycling Krylov Subspaces for Solving Linear Systems with Successively Changing Right-hand Sides Arising in Model Reduction

Peter Benner, Feng Lihong, P. Benner, 2011 .

On recycling Krylov subspaces for solving linear systems with successive right-hand sides with applications in model reduction

Peter Benner, Lihong Feng, P. Benner, 2006 .

Low-Rank Eigenvector Compression of Posterior Covariance Matrices for Linear Gaussian Inverse Problems

MARTIN STOLL, P. Benner, M. Stoll, 2017, SIAM/ASA J. Uncertain. Quantification.

Parameterized frequency-dependent balanced truncation for model order reduction of linear systems

P. Benner, Xin Du, 2017, 2017 29th Chinese Control And Decision Conference (CCDC).

Optimization with Partial Differential Equations

P. Benner, M. Stoll, J. Saak, 2012 .

Equations Using Stochastic Collocation and Model Order Reduction

P. Benner, Judith Schneider, 2013 .

Optimal distributed and tangential boundary control for the unsteady stochastic Stokes equations

P. Benner, Christoph Trautwein, 2018, ESAIM: Control, Optimisation and Calculus of Variations.

Ju l 2 01 8 Faster and more accurate computation of the H ∞ norm via optimization

P. Benner, Tim Mitchell, 2018 .

Model reduction of linear multi-agent systems by clustering with $$\varvec{\mathcal {H}_2}$$H2 and $$\varvec{\mathcal {H}_\infty }$$H∞ error bounds

H. Trentelman, P. Benner, H. Jongsma, 2018 .

Rational Interpolation Methods for Symmetric Sylvester Equations

P. Benner, T. Breiten, 2014 .

The LR Cholesky algorithm for symmetric hierarchical matrices

P. Benner, T. Mach, 2013 .

The LR Cholesky Algorithm for Symmetric

P. Benner, T. Mach, 2012 .

Structure Preserving Iterative Solution of Periodic Projected Lyapunov Equations

Peter Benner, Mohammad-Sahadet Hossain, P. Benner, 2012 .

Peter Benner Thomas Mach The Preconditioned Inverse Iteration for Hierarchical Matrices

P. Benner, T. Mach, 2011 .

The Preconditioned Inverse Iteration for

P. Benner, T. Mach, 2011 .

Remón Solving Matrix Equations on Multi-core and Many-core Architectures

E. S. Quintana‐Ortí, P. Benner, H. Mena, 2011 .

Model Reduction for Time-Varying Descriptor Systems Using Krylov-Subspaces Projection Techniques

P. Benner, Mohammad-Sahadet Hossain, 2008 .

Algorithm, and the Lanczos Method

P. Benner, Heike Fa bender, 1997 .

Model reduction of an elastic crankshaft for elastic multibody simulations

Peter Eberhard, Peter Benner, Patrick Kürschner, 2013 .

Peer Methods for the Solution of Large-Scale Differential Matrix Equations

P. Benner, Norman Lang, N. Lang, 2018, 1807.08524.

An inexact low-rank Newton-ADI method for large-scale algebraic Riccati equations

Peter Benner, Jens Saak, Matthias Heinkenschloss, 2016 .

Solving SLICOT benchmarks for continuous-time algebraic Riccati equations by Hamiltonian solvers

Vasile Sima, Peter Benner, P. Benner, 2015, 2015 19th International Conference on System Theory, Control and Computing (ICSTCC).

ADI-based Galerkin-Methods for Algebraic Lyapunov and Riccati Equations

P. Benner, 2010 .

ADI-BASED METHODS FOR ALGEBRAIC LYAPUNOV AND RICCATI EQUATIONS

P. Benner, J. Saak, Martin Köhler, 2009 .

NUMERICAL SOLUTION OF LARGE-SCALE ALGEBRAIC RICCATI EQUATIONS

P. Benner, 2008 .

Numerical Solution of Optimal Control Problems for Parabolic Systems

Peter Benner, Jens Saak, P. Benner, 2006 .

A SLICOT Implementation of a Modified Newton's Method for Algebraic Riccati Equations

V. Sima, P. Benner, P. Benner, 2006, 2006 14th Mediterranean Conference on Control and Automation.

Step Size Control for Newton's Method Applied to Algebraic Riccati Equations

R. Byers, P. Benner, 1994 .

Partial stabilisation of large-scale discrete-time linear control systems

Enrique S. Quintana-Ortí, Peter Benner, María Isabel Castillo, 2005, Int. J. Comput. Sci. Eng..

New Hamiltonian Eigensolvers with Applications in Control

P. Benner, D. Kressner, D. Kressner, 2005, Proceedings of the 44th IEEE Conference on Decision and Control.

Computing optimal Hankel norm approximations of large-scale systems

Enrique S. Quintana-Ortí, Peter Benner, Gregorio Quintana-Ortí, 2004, 2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601).

Linear Low‐Rank Parameter‐Dependent Fluid‐Structure Interaction Discretization in 2D

P. Benner, T. Richter, Roman Weinhandl, 2018, PAMM.

Parallel Order Reduction via BT for Optimal Cooling of Steel Profiles 1 Introduction

J. M. Badía, E. S. Quintana‐Ortí, R. Mayo, 2005 .

Model reduction of controlled Fokker–Planck and Liouville–von Neumann equations

P. Benner, C. Hartmann, T. Breiten, 2017, Journal of Computational Dynamics.

Range-separated tensor formats for numerical modeling of many-particle interaction potentials

B. Khoromskij, V. Khoromskaia, P. Benner, 2016, 1606.09218.

New Gramians for Linear Switched Systems: Reachability, Observability, and Model Reduction

P. Benner, S. Grundel, I. P. Duff, 2018 .

Accelerating Newton's Method for Discrete-Time Algebraic Riccati Equations

Peter Benner, P. Benner, 1998 .

The SLICOT Toolboxes – a Survey

D. Kressner, P. Benner, V. Sima, 2006 .

Singular perturbation approximation of large, dense linear systems

P. Benner, E. S. Quintana-Ortí, G. Quintana-Orti, 2000, CACSD. Conference Proceedings. IEEE International Symposium on Computer-Aided Control System Design (Cat. No.00TH8537).

Balanced Truncation for Descriptor Systems with Many Terminals

Peter Benner, P. Benner, André Schneider, 2013 .

Computing the stochastic $H^\infty$-norm

P. Benner, T. Damm, J. Hauth, 2017, 1703.04440.

Slicot Drives Tractors! 1

P. Benner, 1999 .

List of speakers

P. Benner, 2001, NeuroImage.

Tomographic X-ray scattering based on invariant reconstruction: analysis of the 3D nanostructure of bovine bone

P. Fratzl, P. Benner, N. Terrill, 2021, Journal of applied crystallography.

Structure-Preserving Model Reduction for Dissipative Mechanical Systems pdf

Matthias Voigt, Peter Benner, Timo Reis, 2020, ArXiv.

Exponential Stability and Stabilization of Extended Linearizations via Continuous Updates of Riccati Based Feedback

Peter Benner, Jan Heiland, P. Benner, 2018 .

Convolutional Neural Networks for Very Low-Dimensional LPV Approximations of Incompressible Navier-Stokes Equations

P. Benner, J. Heiland, Rezvan Bahmani, 2022, Frontiers in Applied Mathematics and Statistics.

A Web Service for Model Reduction of Large-Scale Linear Systems on a Cluster

Enrique S. Quintana-Ortí, Peter Benner, Gregorio Quintana-Ortí, 2002 .

Model Order Reduction

Gianluigi Rozza, Alfio Quarteroni, Wil H. A. Schilders, 2021 .

Neural ODEs with Irregular and Noisy Data

P. Benner, P. Goyal, 2022, ArXiv.

Large-Scale Networks in Engineering and Life Sciences

Udo Reichl, Peter Benner, Rolf Findeisen, 2014, Modeling and Simulation in Science, Engineering and Technology.

Model reduction of linear multi-agent systems by clustering with H-2 and H_infinity error bounds

H. Trentelman, P. Benner, H. Jongsma, 2018 .

SLICOT Working Note 2009-1 The SLICOT Toolboxes a Survey

A. Varga, D. Kressner, P. Benner, 2009 .

Control Theory Basics

P. Benner, 2007 .

Control Theory

P. Benner, 2006 .

Numerical Methods for Linear Quadratic and H 1 ControlProblemsPeter Benner

R. Byers, P. Benner, H. Xuz, 1998 .

A unifying framework for tangential interpolation of structured bilinear control systems

Steffen W. R. Werner, S. Gugercin, P. Benner, 2022, ArXiv.

Numerical solution of linear-quadratic control problems for descriptor systems

R. Byers, V. Mehrmann, P. Benner, 1999, Proceedings of the 1999 IEEE International Symposium on Computer Aided Control System Design (Cat. No.99TH8404).

Structured matrix computations in non-Euclidean geometries: algorithms and applications

M. Sadkane, P. Benner, A. Salam, 2014 .

Optimal Control for Allen-Cahn Equations Enhanced by Model Predictive Control

P. Benner, M. Stoll, 2013 .

Model Order Reduction of Switched Linear Systems with Constrained Switching

I. V. Gosea, A. Antoulas, P. Benner, 2019, IUTAM Symposium on Model Order Reduction of Coupled Systems, Stuttgart, Germany, May 22–25, 2018.

Fast solution of the linearized Poisson–Boltzmann equation with nonaffine parametrized boundary conditions using the reduced basis method

P. Benner, M. Stein, Lihong Feng, 2017, Computing and Visualization in Science.

Model Predictive Control for Nonlinear Parabolic Differential Equations Based on a Linear Quadratic Gaussian Design

P. Benner, S. Hein, 2009 .

NICONET Report 97-3 SLICOT | A Subroutine Library in Systems and ControlTheory 1

V. Mehrmann, A. Varga, P. Benner, 1997 .

A new method for the Hamiltonian eigenvalue problem

V. Mehrmann, P. Benner, Hongguo Xu, 1997, 1997 European Control Conference (ECC).

On an integrated Krylov-ADI solver for large-scale Lyapunov equations

P. Benner, J. Saak, D. Palitta, 2022, Numerical Algorithms.

Numerical Investigation of Newton's Method for Solving Discrete-time Algebraic Riccati Equations.

P. Benner, V. Sima, 2018 .

E cient Solution of Coupled Lyapunov Equationsvia Matrix Sign Function

P. Benner, 1998 .

Exponential Lag Synchronization of Cohen-Grossberg Neural Networks with Discrete and Distributed Delays on Time Scales

P. Benner, Vipin Kumar, J. Heiland, 2022, 2209.00401.

Riccati-feedback Control of a Two-dimensional Two-phase Stefan Problem

P. Benner, J. Saak, Björn Baran, 2022, 2209.05476.

Singular perturbation approximation for linear systems with Lévy noise

P. Benner, Martin Redmann, 2017 .

Fast Model Reduction of Parametric Systems using Subspace Recycling

J. Korvink, P. Benner, Lihong Feng, 2010 .

Peter Benner, Steffen W. R. Werner, P. Benner, 2018, PAMM.

An artificial neural network for surrogate modeling of stress fields in viscoplastic polycrystalline materials

P. Benner, D. Raabe, B. Svendsen, 2022, npj Computational Materials.

Exponential Lag Synchronization of Cohen-Grossberg Neural Networks with Discrete and Distributed Delays on Time Scales

P. Benner, Vipin Kumar, J. Heiland, 2022, 2209.00401.

A Stochastic Maximum Principle for Control Problems Constrained by the Stochastic Navier–Stokes Equations

P. Benner, Christoph Trautwein, 2018, Applied Mathematics & Optimization.

Optimal control problems constrained by the stochastic Navier–Stokes equations with multiplicative Lévy noise

P. Benner, Christoph Trautwein, 2019, Mathematische Nachrichten.

Discovery of nonlinear dynamical systems using a Runge–Kutta inspired dictionary-based sparse regression approach

P. Benner, P. Goyal, 2021, Proceedings of the Royal Society A.

3 Model order reduction based on moment-matching

P. Benner, Lihong Feng, 2021, System- and Data-Driven Methods and Algorithms.

$\mathcal H_2$-Quasi-Optimal Model Order Reduction for Quadratic-Bilinear Control Systems

S. Gugercin, P. Benner, P. Goyal, 2016 .

An Iterative Model Order Reduction Scheme for a Special Class of Bilinear Descriptor Systems Appearing in Constraint Circuit Simulation

P. Benner, P. Goyal, 2016 .

A Direct Index 1 DAE Model of Gas Networks

P. Benner, S. Grundel, Maike Braukmüller, 2018 .

An Operator Inference Oriented Approach for Mechanical Systems

P. Benner, I. P. Duff, P. Goyal, 2022, 2210.07710.

A KRYLOV-SCHUR-TYPE ALGORITHM FOR EIGENPROBLEMS WITH HAMILTONIAN SPECTRAL SYMMETRY

P. Benner, 2008 .

Interpolatory model reduction for quadratic-bilinear systems using error estimators

P. Benner, Lihong Feng, M. I. Ahmad, 2018, Engineering Computations.

Mathematical and Computer Modelling of Dynamical Systems Methods , Tools and Applications in Engineering and Related Sciences

A. Antoulas, P. Benner, Lihong Feng, 2018 .

Convergence analysis of vector extended locally optimal block preconditioned extended conjugate gradient method for computing extreme eigenvalues

P. Benner, Xin Liang, 2022, Numerical Linear Algebra with Applications.

Convergence Analysis of Extended LOBPCG for Computing Extreme Eigenvalues

P. Benner, Xin Liang, 2020, ArXiv.

O C ] 2 6 O ct 2 01 8 A Stochastic Maximum Principle for Control Problems Constrained by the Stochastic Navier-Stokes Equations

P. Benner, Christoph Trautwein, 2018 .

Generalized Quadratic-Embeddings for Nonlinear Dynamics using Deep Learning

P. Benner, P. Goyal, 2022, Physica D: Nonlinear Phenomena.

A Note on a Family of Generalized Procrustes Problems

P. Benner, Jens FANKHÄNELzx, jjAQ BjjF, 2017 .

1 Model order reduction: basic concepts and notation

A. Quarteroni, P. Benner, G. Rozza, 2021, System- and Data-Driven Methods and Algorithms.

Periodic switching strategies for an isoperimetric control problem with application to nonlinear chemical reactions

A. Seidel-Morgenstern, P. Benner, A. Zuyev, 2018, Applied Mathematical Modelling.

Structure Preserving MOR of Large Sparse Second Order Index-1 Systems and Application to a Mechatronics Model

Mohammad Monir Uddin, P. Benner, J. Saak, 2014 .

Riccati-feedback Control of a Two-dimensional Two-phase Stefan Problem

P. Benner, J. Saak, Björn Baran, 2022, ArXiv.

A structured pseudospectral method for H ∞ -norm computation of large-scale descriptor systems

P. Benner, M. Voigt, 2014 .

An operator inference oriented approach for linear mechanical systems

P. Benner, Igor Pontes Duff, I. P. Duff, 2022, Mechanical Systems and Signal Processing.

A low-rank solution method for Riccati equations with indefinite quadratic terms

Steffen W. R. Werner, P. Benner, J. Heiland, 2021, Numerical Algorithms.

7th Workshop on Matrix Equations and Tensor Techniques

Daniel Kressner, Peter Benner, Valeria Simoncini, 2018, Numer. Linear Algebra Appl..

Low rank methods for a class of generalized Lyapunov equations and related issues

P. Benner, T. Breiten, 2013, Numerische Mathematik.

A Survey of Projection-Based Model Reduction Methods for Parametric Dynamical Systems

Karen Willcox, Peter Benner, Serkan Gugercin, 2015, SIAM Rev..

Learning reduced‐order dynamics for parametrized shallow water equations from data

B. Karasözen, P. Benner, P. Goyal, 2021, International Journal for Numerical Methods in Fluids.

Data‐Driven Learning of Reduced‐Order Dynamics for a Parametrized Shallow Water Equation pdf

Peter Benner, Bülent Karasözen, Pawan Goyal, 2020, PAMM.

Complex Solutions of a Family of Generalized Procrustes Problems

P. Benner, Jens Fankh, 2017 .

A New Error Estimator for Reduced-Order Modeling of Linear Parametric Systems

Peter Benner, Lihong Feng, P. Benner, 2019, IEEE Transactions on Microwave Theory and Techniques.

Clustering-Based Model Order Reduction for Nonlinear Network Systems pdf

Sara Grundel, Peter Benner, Petar Mlinarić, 2020, Model Reduction of Complex Dynamical Systems.

SLICOT—A Subroutine Library in Systems and Control Theory

Sabine Van Huffel, Peter Benner, Andras Varga, 1999 .

Interpolatory Projection Methods for Parameterized Model Reduction

Peter Benner, Ulrike Baur, Serkan Gugercin, 2011, SIAM J. Sci. Comput..

Model order reduction for gas and energy networks

Sara Grundel, Peter Benner, Christian Himpe, 2020, Journal of Mathematics in Industry.

High performance matrix inversion of SPD matrices on graphics processors

Enrique S. Quintana-Ortí, Peter Benner, Pablo Ezzatti, 2011, 2011 International Conference on High Performance Computing & Simulation.

Niconet Newsletter

V. Mehrmann, P. Benner, 1999 .

High Performance Solution of Skew-symmetric Eigenvalue Problems with Applications in Solving the Bethe-Salpeter Eigenvalue Problem pdf

Peter Benner, Andreas Marek, Claudia Ambrosch-Draxl, 2019, Parallel Comput..

Data-Driven Model Order Reduction for Problems with Parameter-Dependent Jump-Discontinuities pdf

Peter Benner, Neeraj Sarna, P. Benner, 2021, Computer Methods in Applied Mechanics and Engineering.

Model Reduction of Parametrized Systems

Gianluigi Rozza, Karsten Urban, Anthony T. Patera, 2017 .

On Stability, Passivity and Reciprocity Preservation of ESVDMOR

Peter Benner, André Schneider, P. Benner, 2011 .

System Reduction for Nanoscale IC Design ( SyreNe )

P. Benner, 2009 .

System-Theoretic Methods for Model Reduction of Large-Scale Systems: Simulation, Control, and Inverse Problems

Peter Benner, P. Benner, 2009 .

Accelerating optimization and uncertainty quantification of nonlinear SMB chromatography using reduced-order models

Peter Benner, Andreas Seidel-Morgenstern, Lihong Feng, 2017, Comput. Chem. Eng..

Using surrogate models for efficient optimization of simulated moving bed chromatography

Peter Benner, Andreas Seidel-Morgenstern, Lihong Feng, 2014, Comput. Chem. Eng..

Matrix-Free Transfer Function Prediction Using Model Reduction and Machine Learning

P. Benner, Lihong Feng, D. Romano, 2022, IEEE Transactions on Microwave Theory and Techniques.

Estimating the Inf-Sup Constant in Reduced Basis Methods for Time-Harmonic Maxwell’s Equations

Sara Grundel, Peter Benner, Martin W. Hess, 2015, IEEE Transactions on Microwave Theory and Techniques.

Reduced Representation of Power Grid Models

Peter Benner, André Schneider, P. Benner, 2017 .

Invariant Galerkin Ansatz Spaces and Davison-Maki Methods for the Numerical Solution of Differential Riccati Equations pdf

Peter Benner, Maximilian Behr, Jan Heiland, 2019, ArXiv.

Solution formulas for differential Sylvester and Lyapunov equations

Peter Benner, Jan Heiland, Maximilian Behr, 2018, Calcolo.

M-M.E.S.S.-1.0.1 - The Matrix Equations Sparse Solvers Library

Peter Benner, Jens Saak, Martin Köhler, 2016 .

Rosenbrock Methods for Solving Riccati Differential Equations

Peter Benner, Hermann Mena, P. Benner, 2013, IEEE Transactions on Automatic Control.

On the ADI method for Sylvester equations

Peter Benner, Ren-Cang Li, Ninoslav Truhar, 2009, J. Comput. Appl. Math..

BDF Methods for Large-Scale Differential Riccati Equations

Peter Benner, Hermann Mena, P. Benner, 2004 .

Greedy low-rank algorithm for spatial connectome regression

Peter Benner, Kameron Decker Harris, Sergey Dolgov, 2018, The Journal of Mathematical Neuroscience.

Theory and Numerical Solution of Differential and Algebraic Riccati Equations

Peter Benner, P. Benner, 2015 .

Extending lyapack for the solution of band Lyapunov equations on hybrid CPU–GPU platforms

Enrique S. Quintana-Ortí, Peter Benner, Pablo Ezzatti, 2015, The Journal of Supercomputing.

Robust formulas for optimal H∞ controllers

Peter Benner, Volker Mehrmann, Ralph Byers, 2011, Autom..

A mixed-precision algorithm for the solution of Lyapunov equations on hybrid CPU-GPU platforms

Enrique S. Quintana-Ortí, Daniel Kressner, Peter Benner, 2009 .

Die SLICOT-Toolboxen für MatlabThe SLICOT Toolboxes for Matlab

Vasile Sima, Daniel Kressner, Peter Benner, 2010, Autom..

Parallele Numerische Simulation Für Physik Und Kontinuumsmechanik Solving Linear-quadratic Optimal Control Problems on Parallel Computers Preprintreihe Des Chemnitzer Sfb 393

Enrique S. Quintana-Ortí, Peter Benner, Gregorio Quintana-Ortí, 2022 .

Numerical solution of large‐scale Lyapunov equations, Riccati equations, and linear‐quadratic optimal control problems

Peter Benner, Jing-Rebecca Li, Thilo Penzl, 2008, Numer. Linear Algebra Appl..

Solving Linear and Quadratic Matrix Equations onDistributed Memory Parallel

P. Benner, 2007 .

2 Preliminaries and Theoretical Background 2 . 1 Hamiltonian matrices and algebraic Riccati equations

R. Byers, V. Mehrmann, P. Benner, 2006 .

Model Reduction Based on Spectral Projection Methods

Enrique S. Quintana-Ortí, Peter Benner, E. S. Quintana-Ortí, 2005 .

Robust numerical methods for robust control

Peter Benner, Volker Mehrmann, Ralph Byers, 2004 .

Structure preservation: a challenge in computational control

Daniel Kressner, Peter Benner, Volker Mehrmann, 2003, Future Gener. Comput. Syst..

Parallel algorithms for model reduction of discrete-time systems

P. Benner, E. S. Quintana-Ortí, E. S. Quintana-Orti, 2003, Int. J. Syst. Sci..

Perturbation Analysis for the Eigenvalue Problem of a Formal Product of Matrices

Peter Benner, Volker Mehrmann, Hongguo Xu, 2002 .

Numerical Computation of Deflating Subspaces of Skew-Hamiltonian/Hamiltonian Pencils

Peter Benner, Volker Mehrmann, Ralph Byers, 2002, SIAM J. Matrix Anal. Appl..

A Unified Deflating Subspace Approach for Classes of Polynomial and Rational Matrix Equations ∗

R. Byers, V. Mehrmann, P. Benner, 2000 .

Solving linear and quadratic matrix equations on distributed memory parallel computers

P. Benner, E. S. Quintana-Ortí, G. Quintana-Orti, 1999, Proceedings of the 1999 IEEE International Symposium on Computer Aided Control System Design (Cat. No.99TH8404).

A Portable Subroutine Library for Solving Linear Control Problems on Distributed Memory Computers

Enrique S. Quintana-Ortí, Peter Benner, Gregorio Quintana-Ortí, 1998, Wide Area Networks and High Performance Computing.

Learning Low-Dimensional Quadratic-Embeddings of High-Fidelity Nonlinear Dynamics using Deep Learning

Peter Benner, Pawan Goyal, P. Benner, 2021, ArXiv.

Operator inference for non-intrusive model reduction of systems with non-polynomial nonlinear terms pdf

Benjamin Peherstorfer, Peter Benner, Pawan Goyal, 2020, ArXiv.

Efficient handling of complex shift parameters in the low-rank Cholesky factor ADI method

Peter Benner, Patrick Kürschner, Jens Saak, 2012, Numerical Algorithms.

Gramian-Based Model Reduction for Data-Sparse Systems

Peter Benner, Ulrike Baur, P. Benner, 2008, SIAM J. Sci. Comput..

Dimension Reduction of Large-Scale Systems

Peter Benner, Volker Mehrmann, C. SorensenDanny, 2005 .

Balanced Truncation Model Reduction of Large-Scale Dense Systems on Parallel Computers

Enrique S. Quintana-Ortí, Peter Benner, Gregorio Quintana-Ortí, 2000 .

Some a posteriori error bounds for reduced-order modelling of (non-)parametrized linear systems

Peter Benner, Lihong Feng, Athanasios C. Antoulas, 2017 .

Balanced Truncation Model Order Reduction For Quadratic-Bilinear Control Systems

Peter Benner, Pawan Goyal, P. Benner, 2017, 1705.00160.

Model Order Reduction Based on System Balancing

Peter Benner, Tobias Breiten, P. Benner, 2017 .

MPC/LQG for Infinite-Dimensional Systems Using Time-Invariant Linearizations

Peter Benner, Sabine Hein, P. Benner, 2011, System Modelling and Optimization.

Application of LQR techniques to the adaptive control of quasilinear parabolic PDEs

P. Benner, J. Saak, 2007 .

Operator Inference and Physics-Informed Learning of Low-Dimensional Models for Incompressible Flows

P. Benner, J. Heiland, I. P. Duff, 2020, ETNA - Electronic Transactions on Numerical Analysis.

Computing Surrogates for Gas Network Simulation Using Model Order Reduction

Sara Grundel, Peter Benner, Tanja Clees, 2013 .

A Training Set Subsampling Strategy for the Reduced Basis Method

Peter Benner, Lihong Feng, Sridhar Chellappa, 2021, Journal of Scientific Computing.

Algorithm 854: Fortran 77 subroutines for computing the eigenvalues of Hamiltonian matrices II

Daniel Kressner, Peter Benner, D. Kressner, 2005, TOMS.

Stabilization of Incompressible Flow Problems by Riccati-based Feedback

Peter Benner, Eberhard Bänsch, P. Benner, 2012, Constrained Optimization and Optimal Control for Partial Differential Equations.

Computational Experience with a Modified Newton Solver for Discrete-Time Algebraic Riccati Equations

Vasile Sima, Peter Benner, P. Benner, 2015, ICINCO 2015.

Pitfalls when solving eigenproblems with applications in control engineering

Vasile Sima, Peter Benner, P. Benner, 2015, 2015 12th International Conference on Informatics in Control, Automation and Robotics (ICINCO).

Computing the eigenvalues of symmetric $${\fancyscript{H}}^2$$H2-matrices by slicing the spectrum

Peter Benner, Steffen Börm, Thomas Mach, 2013, Comput. Vis. Sci..

On the QR decomposition of $${\fancyscript {H}}$$ -matrices

Peter Benner, Thomas Mach, P. Benner, 2010, Computing.

Stabilizing large‐scale generalized systems on parallel computers using multithreading and message‐passing

Rafael Mayo, Enrique S. Quintana-Ortí, Peter Benner, 2007, Concurr. Comput. Pract. Exp..

Evaluation of the Linear Matrix Equation Solvers in SLICOT

Peter Benner, Vasile Sima, Martin Slowik, 2007 .

Parallel Solution of Large-Scale and Sparse Generalized Algebraic Riccati Equations

Rafael Mayo, Enrique S. Quintana-Ortí, Peter Benner, 2006, Euro-Par.

Solving Stable Sylvester Equations via Rational Iterative Schemes

Enrique S. Quintana-Ortí, Peter Benner, Gregorio Quintana-Ortí, 2006, J. Sci. Comput..

Parallel Model Reduction of Large Linear Descriptor Systems via Balanced Truncation

Enrique S. Quintana-Ortí, Peter Benner, Gregorio Quintana-Ortí, 2004, VECPAR.

Solving Algebraic Riccati Equations with SLICOT

Vasile Sima, Peter Benner, P. Benner, 2003 .

The preconditioned inverse iteration for hierarchical matrices

Peter Benner, Thomas Mach, P. Benner, 2013, Numer. Linear Algebra Appl..

Hankel-norm approximation of large-scale descriptor systems

Peter Benner, Steffen W. R. Werner, Steffen W. R. Werner, 2016, Adv. Comput. Math..

Model reduction of complex dynamical systems

Peter Benner, Heike Faßbender, Ralf Zimmermann, 2018, Adv. Comput. Math..

Model reduction of linear multi-agent systems by clustering with H2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\va

Hidde-Jan Jongsma, Sara Grundel, Peter Benner, 2018, Mathematics of Control, Signals, and Systems.

Model Reduction of Linear Multi-Agent Systems by Clustering and Associated $\mathcal{H}_2$- and $\mathcal{H}_\infty$-Error Bounds

Hidde-Jan Jongsma, Petar Mlinari'c, Sara Grundel, 2016, 1610.02432.

Adaptive Interpolatory MOR by Learning the Error Estimator in the Parameter Domain pdf

Peter Benner, Sridhar Chellappa, Lihong Feng, 2020, Model Reduction of Complex Dynamical Systems.

GPU-Accelerated Implementation of the Storage-Efficient QR Decomposition

Peter Benner, Carolin Penke, Martin Köhler, 2017 .

Extending the Gauss–Huard method for the solution of Lyapunov matrix equations and matrix inversion

Enrique S. Quintana-Ortí, Peter Benner, Pablo Ezzatti, 2017, Concurr. Comput. Pract. Exp..

An Implicitly Restarted Symplectic LanczosMethod for the Hamiltonian Eigenvalue ProblemPeter Benner

Peter Benner, P. Benner, Heike Fa bender, 1997 .

A Restarted Symplectic Lanczos Method for the Hamiltonian Eigenvalue Problem

Peter Benner, Heike Fassbender, P. Benner, 1995 .

A numerical comparison of solvers for large-scale, continuous-time algebraic Riccati equations

Zvonimir Bujanovic, Peter Benner, Patrick Kürschner, 2018 .

Numerical solution of the infinite-dimensional LQR problem and the associated Riccati differential equations

Peter Benner, Hermann Mena, P. Benner, 2018, J. Num. Math..

Solving Sparse Differential Riccati Equations on Hybrid CPU-GPU Platforms

Enrique S. Quintana-Ortí, Peter Benner, Pablo Ezzatti, 2017, ICCSA.

Frequency-Limited Balanced Truncation with Low-Rank Approximations

Peter Benner, Patrick Kürschner, Jens Saak, 2016, SIAM J. Sci. Comput..

Balancing Based Model Reduction for Structured Index-2 Unstable Descriptor Systems with Application to Flow Control

Mohammad Monir Uddin, Peter Benner, Jens Saak, 2016 .

Model Order Reduction for Linear and Nonlinear Systems: A System-Theoretic Perspective

Peter Benner, Ulrike Baur, Lihong Feng, 2014, Archives of Computational Methods in Engineering.

On optimality of approximate low rank solutions of large-scale matrix equations

Peter Benner, Tobias Breiten, P. Benner, 2014, Syst. Control. Lett..

Low-rank iterative methods for periodic projected Lyapunov equations and their application in model reduction of periodic descriptor systems

Peter Benner, Tatjana Stykel, Mohammad-Sahadet Hossain, 2014, Numerical Algorithms.

Low rank methods for a class of generalized Lyapunov equations and related issues

Peter Benner, Tobias Breiten, P. Benner, 2013, Numerische Mathematik.

Numerical solution of the Infinite-Dimensional LQR-Problem and the associated Differential Riccati Equations

P. Benner, H. Mena, 2012 .

Factorized Solution of Lyapunov Equations Based on Hierarchical Matrix Arithmetic

Peter Benner, Ulrike Baur, P. Benner, 2006, Computing.

Solving large-scale control problems

P. Benner, P. Benner, 2004, IEEE Control Systems.

On Error Estimation for Reduced-order Modeling of Linear Non-parametric and Parametric Systems

P. Benner, Lihong Feng, 2020, ESAIM: Mathematical Modelling and Numerical Analysis.

An Implicitly Restarted Symplectic Lanczos Method for the Symplectic Eigenvalue Problem

Peter Benner, Heike Faßbender, P. Benner, 2000, SIAM J. Matrix Anal. Appl..

Parallel Distributed Solvers for Large Stable Generalized Lyapunov Equations

Enrique S. Quintana-Ortí, Peter Benner, José M. Claver, 1999, Parallel Process. Lett..

Large-Scale Matrix Equations of Special Type

Peter Benner, P. Benner, 2022 .

Peter Benner, P. Benner, 2007 .

Fast system identification and model reduction solvers

Vasile Sima, Peter Benner, P. Benner, 2007, ALCOSP.

Adaptive POD–DEIM basis construction and its application to a nonlinear population balance system

Peter Benner, Lihong Feng, Michael Mangold, 2017 .

An Efficient Output Error Estimation for Model Order Reduction of Parametrized Evolution Equations

Peter Benner, Lihong Feng, Yongjin Zhang, 2015, SIAM J. Sci. Comput..

Structured interpolation for multivariate transfer functions of quadratic-bilinear systems

Steffen W. R. Werner, S. Gugercin, P. Benner, 2023, Adv. Comput. Math..

Interpolation-Based Model Order Reduction for Polynomial Parametric Systems

P. Benner, P. Goyal, 2019, 1904.11891.

H2-Quasi-Optimal Model Order Reduction for Quadratic-Bilinear Control Systems

Peter Benner, Serkan Gugercin, Pawan Goyal, 2016, SIAM J. Matrix Anal. Appl..

Algebraic Gramians for Quadratic-Bilinear Systems and their Application in Model Order Reduction

P. Benner, P. Goyal, 2016 .

Two-Sided Projection Methods for Nonlinear Model Order Reduction

Peter Benner, Tobias Breiten, P. Benner, 2015, SIAM J. Sci. Comput..

Preface: Model Reduction and Approximation: Theory and Algorithms

Karen Willcox, Peter Benner, Mario Ohlberger, 2017 .

Model order reduction of bilinear time-delay systems

Peter Benner, Igor Pontes Duff, Ion Victor Gosea, 2019, 2019 18th European Control Conference (ECC).

State-space truncation methods for parallel model reduction of large-scale systems

Enrique S. Quintana-Ortí, Peter Benner, Gregorio Quintana-Ortí, 2003, Parallel Comput..

Efficient solution of large-scale algebraic Riccati equations associated with index-2 DAEs via the inexact low-rank Newton-ADI method

Peter Benner, Jens Saak, Matthias Heinkenschloss, 2018, Applied Numerical Mathematics.

Riccati-based boundary feedback stabilization of incompressible Navier-Stokes flow

Peter Benner, Eberhard Bänsch, Jens Saak, 2013 .

Numerical Solution of Projected Algebraic Riccati Equations

Peter Benner, Tatjana Stykel, P. Benner, 2014, SIAM J. Numer. Anal..

A Reformulated Low‐Rank ADI Iteration with Explicit Residual Factors

Peter Benner, Patrick Kürschner, Jens Saak, 2013 .

On the Solution of the Nonsymmetric T-Riccati Equation pdf

Peter Benner, Davide Palitta, P. Benner, 2020, ArXiv.

RADI: a low-rank ADI-type algorithm for large scale algebraic Riccati equations

Zvonimir Bujanovic, Peter Benner, Patrick Kürschner, 2015, Numerische Mathematik.

Mathematik RADI : a low-rank ADI-type algorithm for large scale algebraic Riccati equations

P. Benner, J. Saak, Zvonimir Bujanovic, 2017 .

Inexact Kleinman-Newton-ADI Method with Line Search to Solve Large-Scale Algebraic Riccati Equations

M. Heinkenschloss, P. Benner, J. Saak, 2015 .

An improved numerical method for balanced truncation for symmetric second-order systems

Peter Benner, Patrick Kürschner, Jens Saak, 2013 .

Model order reduction of large-scale dynamical systems with Jacobi-Davidson style eigensolvers

Peter Benner, Michiel E. Hochstenbach, Patrick Kurschner, 2011, 2011 International Conference on Communications, Computing and Control Applications (CCCA).

A Low-Rank Inexact Newton–Krylov Method for Stochastic Eigenvalue Problems

Peter Benner, Martin Stoll, Akwum Onwunta, 2017, Comput. Methods Appl. Math..

Nonlinear Boundary-Value Problems Unsolved with Respect to the Derivative

P. Benner, S. Chuiko, O. Nesmelova, 2021, Ukrainian Mathematical Journal.

LQG-Balanced Truncation Low-Order Controller for Stabilization of Laminar Flows

Peter Benner, Jan Heiland, P. Benner, 2015 .

Reduced-Order Modeling and ROM-Based Optimization of Batch Chromatography

Peter Benner, Lihong Feng, Yongjin Zhang, 2013, ENUMATH.

Gas Network Benchmark Models

Peter Benner, Tom Streubel, Christian Himpe, 2018 .

Parametric Dynamic Mode Decomposition for nonlinear parametric dynamical systems

P. Benner, Lihong Feng, T. Vidaković-Koch, 2023, ArXiv.

Trading Off Performance for Energy in Linear Algebra Operations with Applications in Control Theory

Enrique S. Quintana-Ortí, Peter Benner, Pablo Ezzatti, 2014, CLEI Electron. J..

Trading Off Performance for Power-Energy in Dense Linear Algebra Operations

Enrique S. Quintana-Ortí, Peter Benner, Pablo Ezzatti, 2013, HiPC 2013.

Using Hybrid CPU-GPU Platforms to Accelerate the Computation of the Matrix Sign Function

Enrique S. Quintana-Ortí, Peter Benner, Pablo Ezzatti, 2009, Euro-Par Workshops.

A greedy data collection scheme for linear dynamical systems pdf

Peter Benner, Pawan Goyal, Karim Cherifi, 2021, Data-Centric Engineering.

Robust output-feedback stabilization for incompressible flows using low-dimensional H∞\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \b

Steffen W. R. Werner, P. Benner, J. Heiland, 2021, Computational Optimization and Applications.

Robust Output-Feedback Stabilization for Incompressible Flows using Low-Dimensional H∞-Controllers

Steffen W. R. Werner, P. Benner, J. Heiland, 2021 .

MORLAB - The Model Order Reduction LABoratory pdf

Peter Benner, Steffen W. R. Werner, P. Benner, 2020, ArXiv.

Snapshot-Based Methods and Algorithms

L. M. Silveira, A. Quarteroni, P. Benner, 2020 .

Example Setups of Navier-Stokes Equations with Control and Observation: Spatial Discretization and Representation via Linear-quadratic Matrix Coefficients pdf

Peter Benner, Maximilian Behr, Jan Heiland, 2017, ArXiv.

Parallel Partial Stabilizing Algorithms for Large Linear Control Systems

Enrique S. Quintana-Ortí, Peter Benner, Vicente Hernández, 2000, The Journal of Supercomputing.

On reduced input-output dynamic mode decomposition

Tim Mitchell, Peter Benner, Christian Himpe, 2017, Advances in Computational Mathematics.

Discontinuous Galerkin finite element methods with shock-capturing for nonlinear convection dominated models

Peter Benner, Martin Stoll, Hamdullah Yücel, 2013, Comput. Chem. Eng..

Efficient algorithms for generalized algebraic Bernoulli equations based on the matrix sign function

Enrique S. Quintana-Ortí, Peter Benner, Sergio Barrachina, 2007, Numerical Algorithms.

Exponential Lag Synchronization of Cohen–Grossberg Neural Networks with Discrete and Distributed Delays on Time Scales

P. Benner, Vipin Kumar, J. Heiland, 2022, Neural Processing Letters.

Passivity preserving model reduction via a structured Lanczos method

Peter Benner, Heike Fassbender, P. Benner, 2006, 2006 IEEE Conference on Computer Aided Control System Design, 2006 IEEE International Conference on Control Applications, 2006 IEEE International Symposium on Intelligent Control.

Numerische Methoden zur passivitätserhaltenden Modellreduktion (Numerical Methods for Passivity Preserving Model Reduction)

Peter Benner, Heike Faßbender, P. Benner, 2006, Autom..

Parallel Algorithms for LQ Optimal Control of Discrete-Time Periodic Linear Systems

Rafael Mayo, Enrique S. Quintana-Ortí, Peter Benner, 2002, J. Parallel Distributed Comput..

Solving algebraic Riccati equations on parallel computers using Newton's method with exact line search

Enrique S. Quintana-Ortí, Peter Benner, Gregorio Quintana-Ortí, 2000, Parallel Comput..

Solving Discrete-Time Periodic Riccati Equations on a Cluster (Research Note)

Rafael Mayo, Enrique S. Quintana-Ortí, Peter Benner, 2000, Euro-Par.

Computing the eigenvalues of symmetric H 2-matrices by slicing the spectrum ∗

S. Börm, P. Benner, T. Mach, 2021 .

A Non-Intrusive Method to Inferring Linear Port-Hamiltonian Realizations using Time-Domain Data

P. Benner, P. Goyal, Karim Cherifi, 2020, ETNA - Electronic Transactions on Numerical Analysis.

Algorithm 800: Fortran 77 subroutines for computing the eigenvalues of Hamiltonian matrices. I: the square-reduced method

Peter Benner, Eric Barth, Ralph Byers, 2000, TOMS.

HAMEV and SQRED: Fortran 77 Subroutines for Computing the Eigenvalues of Hamiltonian Matrices Using

Peter Benner, Eric Barth, Ralph Byers, 1998 .

A new method for computing the stable invariant subspace of areal Hamiltonian matrix orBreaking Van Loan ' s curse ?

Peter Benner, P. Benner, Volker, 1997 .

A new method for computing the stable invariant subspace of areal Hamiltonian matrixPeter Benner

P. Benner, Volker Mehrmanny, H. Xuz, 1997 .

Efficient and Accurate Algorithms for Solving the Bethe-Salpeter Eigenvalue Problem for Crystalline Systems pdf

Peter Benner, Carolin Penke, P. Benner, 2020, J. Comput. Appl. Math..

A Structure-Preserving Divide-and-Conquer Method for Pseudosymmetric Matrices

Y. Nakatsukasa, P. Benner, Carolin Penke, 2022, ArXiv.

Stable and Efficient Computation of Generalized Polar Decompositions pdf

Peter Benner, Yuji Nakatsukasa, Carolin Penke, 2021, SIAM J. Matrix Anal. Appl..

Improving the Performance of Numerical Algorithms for the Bethe‐Salpeter Eigenvalue Problem

Peter Benner, Andreas Marek, Carolin Penke, 2018, PAMM.

Computing the density of states for optical spectra of molecules by low-rank and QTT tensor approximation

Chao Yang, Peter Benner, Boris N. Khoromskij, 2018, J. Comput. Phys..

Fast iterative solution of the Bethe-Salpeter eigenvalue problem using low-rank and QTT tensor approximation

Peter Benner, Boris N. Khoromskij, Venera Khoromskaia, 2016, J. Comput. Phys..

A reduced basis approach for calculation of the Bethe–Salpeter excitation energies by using low-rank tensor factorisations*

B. Khoromskij, V. Khoromskaia, P. Benner, 2015, 1505.02696.

Subspace recycling accelerates the parametric macro‐modeling of MEMS

Jan G. Korvink, Peter Benner, Lihong Feng, 2013 .

Krylov techniques for low-rank ADI

P. Benner, J. Saak, D. Palitta, 2022, ArXiv.

Matrix inversion on CPU–GPU platforms with applications in control theory

Enrique S. Quintana-Ortí, Peter Benner, Pablo Ezzatti, 2013, Concurr. Comput. Pract. Exp..

Flow stabilisation by Dirichlet boundary control

P. Benner, R. Schneider, Tobias Rothaug, 2008 .

Evaluating products of matrix pencils and collapsing matrix products

Peter Benner, Ralph Byers, R. Byers, 2001, Numer. Linear Algebra Appl..

Krylov-Subspace Based Model Reduction of Nonlinear Circuit Models Using Bilinear and Quadratic-Linear Approximations

Peter Benner, Tobias Breiten, P. Benner, 2012 .

Low-Rank Solution of Unsteady Diffusion Equations with Stochastic Coefficients

Peter Benner, Martin Stoll, Akwum Onwunta, 2015, SIAM/ASA J. Uncertain. Quantification.

Remote Parallel Model Reduction of Linear Time-Invariant Systems Made Easy

Rafael Mayo, Enrique S. Quintana-Ortí, Peter Benner, 2002, VECPAR.

Adaptive Symmetric Interior Penalty Galerkin Method for Boundary Control Problems

Peter Benner, Hamdullah Yücel, P. Benner, 2017, SIAM J. Numer. Anal..

Recycling BiCGSTAB with an Application to Parametric Model Order Reduction

Eric de Sturler, Peter Benner, Lihong Feng, 2014, SIAM J. Sci. Comput..

Solution decomposition for the nonlinear Poisson-Boltzmann equation using the range-separated tensor format

B. Khoromskij, V. Khoromskaia, P. Benner, 2021, ArXiv.

Fast Solution of the Poisson-Boltzmann Equation with nonaffine Parametrized Boundary Conditions Using the Reduced Basis Method

P. Benner, M. Stein, Lihong Feng, 2017 .

Reduced basis method for the nonlinear Poisson–Boltzmann equation regularized by the range-separated canonical tensor format pdf

Peter Benner, Lihong Feng, Matthias Stein, 2021, International Journal of Nonlinear Sciences and Numerical Simulation.

Range-Separated Tensor Format for Many-Particle Modeling

Peter Benner, Boris N. Khoromskij, Venera Khoromskaia, 2018, SIAM J. Sci. Comput..

Regularization of Poisson-Boltzmann Type Equations with Singular Source Terms Using the Range-Separated Tensor Format

Peter Benner, Boris N. Khoromskij, Venera Khoromskaia, 2021, SIAM J. Sci. Comput..

Machine learning for material characterization with an application for predicting mechanical properties pdf

Peter Benner, Anke Stoll, P. Benner, 2020, GAMM-Mitteilungen.

Symplectic Balancing of Hamiltonian Matrices

Peter Benner, P. Benner, 2000, SIAM J. Sci. Comput..

Learning Dynamics from Noisy Measurements using Deep Learning with a Runge-Kutta Constraint pdf

Peter Benner, Pawan Goyal, P. Benner, 2021, ArXiv.

LQResNet: A Deep Neural Network Architecture for Learning Dynamic Processes pdf

Peter Benner, Pawan Goyal, P. Benner, 2021, ArXiv.

Model Order Reduction for Delayed PEEC Models With Guaranteed Accuracy and Observed Stability

P. Benner, Lihong Feng, D. Romano, 2022, IEEE Transactions on Circuits and Systems I: Regular Papers.

Inf-Sup-Constant-Free State Error Estimator for Model Order Reduction of Parametric Systems in Electromagnetics

Valentin de la Rubia, P. Benner, Lihong Feng, 2021, IEEE Transactions on Microwave Theory and Techniques.

Optimal damping of selected eigenfrequencies using dimension reduction

Peter Benner, Ninoslav Truhar, Zoran Tomljanovic, 2013, Numer. Linear Algebra Appl..

Solving stable generalized Lyapunov equations with the matrix sign function

Enrique S. Quintana-Ortí, Peter Benner, E. S. Quintana-Ortí, 1999, Numerical Algorithms.

Index-Aware Model-Order Reduction for a Special Class of Nonlinear Differential-Algebraic Equations

Sara Grundel, Peter Benner, Giuseppe Alì, 2021, Journal of Dynamics and Differential Equations.

Automatic Decoupling and Index-aware Model-Order Reduction for Nonlinear Differential-Algebraic Equations pdf

Sara Grundel, Peter Benner, Nicodemus Banagaaya, 2020, ArXiv.

Krylov subspace-based model reduction for a class of bilinear descriptor systems

Peter Benner, Pawan Goyal, Mian Ilyas Ahmad, 2017, J. Comput. Appl. Math..

Multipoint interpolation of Volterra series and H2-model reduction for a family of bilinear descriptor systems

Peter Benner, Pawan Goyal, P. Benner, 2016, Syst. Control. Lett..

Numerical computation of structured complex stability radii of large-scale matrices and pencils

Peter Benner, Matthias Voigt, P. Benner, 2012, 2012 IEEE 51st IEEE Conference on Decision and Control (CDC).

Power-to-Chemicals: A Superstructure Problem for Sustainable Syngas Production

Peter Benner, Martin Stoll, Kai Sundmacher, 2021 .

Model Order Reduction for Differential-Algebraic Equations: A Survey

Tatjana Stykel, Peter Benner, P. Benner, 2017 .

Semi-active damping optimization of vibrational systems using the reduced basis method

P. Benner, I. P. Duff, J. Przybilla, 2023, 2305.12946.

Fast A Posteriori State Error Estimation for Reliable Frequency Sweeping in Microwave Circuits via the Reduced-Basis Method

P. Benner, Lihong Feng, V. de la Rubia, 2021, IEEE Transactions on Microwave Theory and Techniques.

An Adaptive Sampling Approach for the Reduced Basis Method

P. Benner, Lihong Feng, Sridhar Chellappa, 2019, ArXiv.

A Robust Algorithm for Parametric Model Order Reduction Based on Implicit Moment Matching

Peter Benner, Lihong Feng, P. Benner, 2014 .

A GPU‐aware mixed‐precision solver for low‐rank algebraic Riccati equations

Peter Benner, Pablo Ezzatti, Jens Saak, 2019, Concurr. Comput. Pract. Exp..

Model reduction for stochastic systems

Peter Benner, Martin Redmann, P. Benner, 2015 .

Trends in PDE Constrained Optimization

Andreas Griewank, Stefan Ulbrich, Rolf Rannacher, 2014 .

MODEL ORDER REDUCTION METHODS FOR COUPLED MACHINE TOOL MODELS

R. Herzog, M. Beitelschmidt, P. Benner, 2021, MM Science Journal.

Galerkin trial spaces and Davison-Maki methods for the numerical solution of differential Riccati equations

Peter Benner, Jan Heiland, Maximilian Behr, 2021, Appl. Math. Comput..

PD controllers to solve single-input, index-1 DAE based LQR problems

Peter Benner, Chayan Bhawal, Jan Heiland, 2020, 2020 European Control Conference (ECC).

High Performance Implementations of the BST Method on Hybrid CPU-GPU Platforms

Enrique S. Quintana-Ortí, Peter Benner, Pablo Ezzatti, 2012, 2012 IEEE 10th International Symposium on Parallel and Distributed Processing with Applications.

Accelerating BST Methods for Model Reduction with Graphics Processors

Enrique S. Quintana-Ortí, Peter Benner, Pablo Ezzatti, 2011, PPAM.

A MATLAB repository for model reduction based on spectral projection

P. Benner, P. Benner, 2006, 2006 IEEE Conference on Computer Aided Control System Design, 2006 IEEE International Conference on Control Applications, 2006 IEEE International Symposium on Intelligent Control.

Enhanced Services for Remote Model Reduction of Large-Scale Dense Linear Systems

Rafael Mayo, Enrique S. Quintana-Ortí, Peter Benner, 2002, PARA.

MORLAB-5.0 - Model Order Reduction Laboratory

Peter Benner, Steffen W. R. Werner, P. Benner, 2019 .

Parametric model order reduction with a small ℋ2$\mathcal {H}_{2}$-error using radial basis functions

Sara Grundel, Peter Benner, Nils Hornung, 2015, Adv. Comput. Math..

Interpolatory model reduction techniques for linear second-order descriptor systems

Peter Benner, Mian Ilyas Ahmad, P. Benner, 2014, 2014 European Control Conference (ECC).

Interpolation-Based H2-Model Reduction of Bilinear Control Systems pdfsubject

Peter Benner, Tobias Breiten, P. Benner, 2011 .

Model order reduction for a family of linear systems with applications in parametric and uncertain systems

Sara Grundel, Peter Benner, P. Benner, 2015, Appl. Math. Lett..

Model Order Reduction for a family of systems with application in parametric and uncertain systems

P. Benner, S. Grundel, 2014 .

APPROXIMATION AND MODEL ORDER REDUCTION FOR SECOND ORDER SYSTEMS WITH LEVY-NOISE

Peter Benner, Martin Redmann, P. Benner, 2015 .

Lyapunov Equations, Energy Functionals, and Model Order Reduction of Bilinear and Stochastic Systems

Peter Benner, Tobias Damm, P. Benner, 2011, SIAM J. Control. Optim..

Low-rank Newton-ADI methods for large nonsymmetric algebraic Riccati equations

Peter Benner, Patrick Kürschner, Jens Saak, 2016, J. Frankl. Inst..

On the squared Smith method for large‐scale Stein equations

Peter Benner, Miloud Sadkane, Grece El Khoury, 2014, Numer. Linear Algebra Appl..

Computing real low-rank solutions of Sylvester equations by the factored ADI method

Peter Benner, Patrick Kürschner, P. Benner, 2014, Comput. Math. Appl..

On the numerical solution of large-scale sparse discrete-time Riccati equations

Peter Benner, Heike Faßbender, P. Benner, 2011, Adv. Comput. Math..

ℋ∞ Control for Descriptor Systems – a Pencil Based Approach

P. Benner, Philip Losse, 2009 .

Neural ordinary differential equations with irregular and noisy data

P. Benner, P. Goyal, 2023, Royal Society Open Science.

On the Impact of Optimization on the Time-Power-Energy Balance of Dense Linear Algebra Factorizations

Enrique S. Quintana-Ortí, Peter Benner, Pablo Ezzatti, 2013, ICA3PP.

Solving Large Sparse Lyapunov Equations on Parallel Computers (Research Note)

Enrique S. Quintana-Ortí, Peter Benner, José M. Badía, 2002, Euro-Par.

Matrix Equations, Sparse Solvers: M-M.E.S.S.-2.0.1 - Philosophy, Features and Application for (Parametric) Model

P. Benner, J. Saak, Martin Köhler, 2020, Model Reduction of Complex Dynamical Systems.

A non-conforming composite quadrilateral finite element pair for feedback stabilization of the Stokes equations

Peter Benner, Jens Saak, Heiko K. Weichelt, 2014, J. Num. Math..

Numerical investigation of Newton's method for solving continuous-time algebraic Riccati equations

Vasile Sima, Peter Benner, P. Benner, 2014, 2014 11th International Conference on Informatics in Control, Automation and Robotics (ICINCO).

Efficient Solution of Large-Scale Saddle Point Systems Arising in Riccati-Based Boundary Feedback Stabilization of Incompressible Stokes Flow

Peter Benner, Martin Stoll, Jens Saak, 2013, SIAM J. Sci. Comput..

Parallel Implementation of LQG Balanced Truncation for Large-Scale Systems

Rafael Mayo, Enrique S. Quintana-Ortí, Peter Benner, 2009, LSSC.

The Kleinman Iteration for Nonstabilizable Systems

Peter Benner, Vicente Hernández, Antonio Pastor, 2003, Math. Control. Signals Syst..

Numerical Investigation of Newton's Method for Solving Discrete-time Algebraic Riccati Equations

Vasile Sima, Peter Benner, P. Benner, 2018, ICINCO.

Structure-Preserving Interpolation for Model Reduction of Parametric Bilinear Systems

Peter Benner, Serkan Gugercin, Steffen W. R. Werner, 2020, Autom..

Structure-preserving interpolation of bilinear control systems

Peter Benner, Serkan Gugercin, Steffen W. R. Werner, 2020, Advances in Computational Mathematics.

Cross-Gramian-based dominant subspaces

Peter Benner, Christian Himpe, P. Benner, 2018, Advances in Computational Mathematics.

Peter Benner, P. Benner, 2013 .

Implicit Higher-Order Moment Matching Technique for Model Reduction of Quadratic-bilinear Systems

Mian Muhammad Arsalan Asif, P. Benner, T. Stykel, 2019, J. Frankl. Inst..

Krylov Subspace Methods for Model Reduction of Quadratic-Bilinear Systems

Imad M. Jaimoukha, Peter Benner, Mian Ilyas Ahmad, 2016 .

Balanced Truncation for a Special Class of Bilinear Descriptor Systems

Peter Benner, Igor Pontes Duff, Pawan Goyal, 2019, IEEE Control Systems Letters.

Nonlinear model reduction of a continuous fluidized bed crystallizer

Stefan Palis, Peter Benner, Andreas Seidel-Morgenstern, 2015, J. Comput. Appl. Math..

MathEnergy – Mathematical Key Technologies for Evolving Energy Grids

P. Benner, N. Marheineke, B. Klaassen, 2021, Mathematical Modeling, Simulation and Optimization for Power Engineering and Management.

A Subspace Framework for H∞-Norm Minimization

Peter Benner, Matthias Voigt, Emre Mengi, 2019, SIAM J. Matrix Anal. Appl..

LARGE-SCALE COMPUTATION OF L ∞ -NORMS BY A GREEDY SUBSPACE METHOD

Peter Benner, Matthias Voigt, Emre Mengi, 2017 .

Relative perturbation theory for quadratic Hermitian eigenvalue problems

Peter Benner, Ninoslav Truhar, Xin Liang, 2016 .

Efficient Structure-preserving Support Tensor Train Machine pdf

Peter Benner, Martin Stoll, Kirandeep Kour, 2020, J. Mach. Learn. Res..

Adjacency-based, non-intrusive model reduction for vortex-induced vibrations

P. Benner, T. Richter, L. Gkimisis, 2023, Computers & Fluids.

Non-intrusive Time-POD for Optimal Control of a Fixed-Bed Reactor for CO2 Methanation

K. Sundmacher, P. Benner, J. Bremer, 2021, IFAC-PapersOnLine.

Rank-Minimizing and Structured Model Inference

Benjamin Peherstorfer, P. Benner, P. Goyal, 2023, SIAM J. Sci. Comput..

Inference of Continuous Linear Systems from Data with Guaranteed Stability

P. Benner, I. P. Duff, P. Goyal, 2023, ArXiv.

Reduced-order modelling of parametric systems via interpolation of heterogeneous surrogates

Peter Benner, Lihong Feng, Yao Yue, 2019, Adv. Model. Simul. Eng. Sci..

Identification of Dominant Subspaces for Linear Structured Parametric Systems and Model Reduction pdf

Peter Benner, Igor Pontes Duff, Pawan Goyal, 2019, ArXiv.

Interpolation-Based Model Order Reduction for Polynomial Systems

Peter Benner, Pawan Goyal, P. Benner, 2021, SIAM J. Sci. Comput..

On the Eigenvalue Distribution for a Beam with Attached Masses

P. Benner, A. Zuyev, J. Kalosha, 2020, SEMA SIMAI Springer Series.

Extended and Improved Criss-Cross Algorithms for Computing the Spectral Value Set Abscissa and Radius

Tim Mitchell, Peter Benner, P. Benner, 2017, SIAM J. Matrix Anal. Appl..

Computing the Stochastic ${H} ^\infty $ -Norm by a Netwon Iteration

Peter Benner, Tobias Damm, Jan Hauth, 2017, IEEE Control Systems Letters.

${\cal L}_{\infty}$-Norm Computation for Continuous-Time Descriptor Systems Using Structured Matrix Pencils

Vasile Sima, Peter Benner, Matthias Voigt, 2012, IEEE Transactions on Automatic Control.

Optimal Sensor Placement based on Model Order Reduction

Peter Benner, Roland Herzog, Jens Saak, 2018 .

A RATIONAL SHIRA METHOD FOR THE HAMILTONIAN EIGENVALUE PROBLEM

P. Benner, C. Effenberger, 2015 .

Data-Driven Identification of Rayleigh-Damped Second-Order Systems pdf

Peter Benner, Igor Pontes Duff, Pawan Goyal, 2019, ArXiv.

Learning reduced order models from data for hyperbolic PDEs pdf

Peter Benner, Neeraj Sarna, P. Benner, 2021, ArXiv.

Annual Report 2013 / Max Planck Institute for Dynamics of Complex Technical Systems Magdeburg

Peter Benner, Victoria Grimm, P. Benner, 2014 .

The Hamiltonian Extended Krylov Subspace Method

P. Benner, H. Faßbender, Michel-Niklas Senn, 2022, The Electronic Journal of Linear Algebra.

DAREX - A Collection of Benchmark Examples for Discrete-Time Algebraic Riccati Equations (Version

Peter Benner, P. Benner, Jrn Abels, 1999 .

A factored variant of the Newton iteration for the solution of algebraic Riccati equations via the matrix sign function

E. S. Quintana-Ortí, P. Benner, P. Ezzatti, 2014, Numerical Algorithms.

Unleashing CPU-GPU Acceleration for Control Theory Applications

Enrique S. Quintana-Ortí, Peter Benner, Pablo Ezzatti, 2012, Euro-Par Workshops.

The SLICOT Toolboxes – a Survey

D. Kressner, P. Benner, V. Sima, 2006 .

Solution of Discrete-Time Riccati Equations via Structure-Preserving Doubling Algorithms on a Cluster of SMPs

Peter Benner, Sergio Barrachina, Enrique S. Quintana-Ort́ı, 2006 .

Structure-Preserving Model Reduction for Dissipative Mechanical Systems

Steffen W. R. Werner, Rebekka S. Beddig, Timo Reis, 2020, ArXiv.

New Gramians for Switched Linear Systems: Reachability, Observability, and Model Reduction

Sara Grundel, Peter Benner, Igor Pontes Duff, 2018, IEEE Transactions on Automatic Control.

Algorithm 961

Vasile Sima, Peter Benner, Matthias Voigt, 2016 .

Balanced truncation of linear time-invariant systems over finite-frequency ranges

Peter Benner, Xin Du, P. Benner, 2016, Advances in Computational Mathematics.

Unleashing GPU acceleration for symmetric band linear algebra kernels and model reduction

Enrique S. Quintana-Ortí, Peter Benner, Pablo Ezzatti, 2015, Cluster Computing.

Accelerating Band Linear Algebra Operations on GPUs with Application in Model Reduction

Enrique S. Quintana-Ortí, Peter Benner, Pablo Ezzatti, 2014, ICCSA.

Accelerating Model Reduction of Large Linear Systems with Graphics Processors

Enrique S. Quintana-Ortí, Daniel Kressner, Peter Benner, 2010, PARA.

On the Solution of the Rational Matrix Equation

P. Benner, H. Faßbender, 2007, EURASIP J. Adv. Signal Process..

Parallel Algorithms for Balanced Truncation Model Reduction of Sparse Systems

Rafael Mayo, Enrique S. Quintana-Ortí, Peter Benner, 2004, PARA.

Trigonometric spline and spectral bounds for the solution of linear time-periodic systems

P. Benner, J. Denissen, L. Kohaupt, 2017 .

Model Reduction for Circuit Simulation

E. Jan W. ter Maten, Peter Benner, Michael Hinze, 2011 .

Spectral Bounds on the Solution of Linear Time‐Periodic Systems

P. Benner, J. Denissen, 2014 .

Bounds on the Solution of Linear Time‐Periodic Systems

P. Benner, J. Denissen, L. Kohaupt, 2013 .

A bilinear ℋ2$\mathcal {H}_{2}$ model order reduction approach to linear parameter-varying systems

Peter Benner, Wil H. A. Schilders, Xingang Cao, 2019, Adv. Comput. Math..

Dual Pairs of Generalized Lyapunov Inequalities and Balanced Truncation of Stochastic Linear Systems

Peter Benner, Tobias Damm, Yolanda R. Rodriguez Cruz, 2015, IEEE Transactions on Automatic Control.

A quadratic decoder approach to nonintrusive reduced‐order modeling of nonlinear dynamical systems

P. Benner, J. Heiland, Igor Pontes Duff, 2022, PAMM.

Fast solution of Cahn-Hilliard variational inequalities using implicit time discretization and finite elements

Peter Benner, Martin Stoll, Jessica Bosch, 2014, J. Comput. Phys..

Low-Rank and Total Variation Regularization and Its Application to Image Recovery pdf

Peter Benner, Pawan Goyal, Hussam Al Daas, 2020, ArXiv.

Introduction to the special issue for EUCCO 2013

Arnd Rösch, Peter Benner, Roland Herzog, 2015, Computational optimization and applications.

Identification of Port-Hamiltonian Systems from Frequency Response Data pdf

Paul Van Dooren, Peter Benner, Pawan Goyal, 2019, Syst. Control. Lett..

Low-Order Control Design using a Reduced-Order Model with a Stability Constraint on the Full-Order Model

Tim Mitchell, Peter Benner, Michael L. Overton, 2018, 2018 IEEE Conference on Decision and Control (CDC).

Faster and More Accurate Computation of the ℋ∞ Norm via Optimization

Tim Mitchell, Peter Benner, P. Benner, 2017, SIAM J. Sci. Comput..

Model Reduction for Second‐Order Dynamical Systems Revisited

Peter Benner, Matthias Voigt, Timo Reis, 2019, PAMM.

An Arithmetic for Matrix Pencils: Theory and New Algorithms

Peter Benner, Ralph Byers, R. Byers, 2006, Numerische Mathematik.

Model reduction for linear simulated moving bed chromatography systems using Krylov-subspace methods

Peter Benner, Andreas Seidel-Morgenstern, Yao Yue, 2014 .

An Iterative Model Reduction Scheme for Quadratic-Bilinear Descriptor Systems with an Application to Navier–Stokes Equations

Peter Benner, Pawan Goyal, P. Benner, 2017, 1705.00934.

Dimension reduction of large-scale systems : proceedings of a Workshop held in Oberwolfach, Germany, October 19-25, 2003

Volker Mehrmann, Danny C. Sorensen, Peter Benner, 2005 .

Solving stable generalized Lyapunov equations with the matrix sign function

E. S. Quintana‐Ortí, P. Benner, 1999 .

Factorized solution of generalized stable Sylvester equations using many-core GPU accelerators

Enrique S. Quintana-Ortí, Peter Benner, Pablo Ezzatti, 2021, The Journal of Supercomputing.

A mixed-precision algorithm for the solution of Lyapunov equations on hybrid CPU-GPU platforms

D. Kressner, E. S. Quintana‐Ortí, P. Benner, 2011, Parallel Comput..

Large‐scale matrix equations of special type

P. Benner, 2008, Numer. Linear Algebra Appl..

Experimental evaluation of new SLICOT solvers for linear matrix equations based on the matrix sign function

Vasile Sima, Peter Benner, P. Benner, 2008, 2008 IEEE International Conference on Computer-Aided Control Systems.

Factorized solution of the Lyapunov equation by using the hierarchical matrix arithmetic

Peter Benner, Ulrike Baur, P. Benner, 2004 .

NUMERICAL SOLUTION OF DISCRETE STABLE LINEAR MATRIX EQUATIONS ON MULTICOMPUTERS

Enrique S. Quintana-Ortí, Peter Benner, Gregorio Quintana-Ortí, 2002, Parallel Algorithms Appl..

Peter Benner, Ulrike Baur, P. Benner, 2007 .

Parallel Model Reduction of Large-Scale Unstable Systems

Enrique S. Quintana-Ortí, Peter Benner, Gregorio Quintana-Ortí, 2003, PARCO.

Model Order Reduction: Techniques and Tools

Peter Benner, Heike Faßbender, P. Benner, 2015, Encyclopedia of Systems and Control.

Accurate error estimation for model reduction of nonlinear dynamical systems via data-enhanced error closure

P. Benner, Lihong Feng, Sridhar Chellappa, 2023, Computer Methods in Applied Mechanics and Engineering.

Computation of a compact state space model for an adaptive spindle head configuration with piezo actuators using balanced truncation

Mohammad Monir Uddin, Peter Benner, Jens Saak, 2012, Production Engineering.

Special issue of NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS: Large-Scale Matrix Equations of Special Type

P. Benner, 2008 .

Efficient Algorithms for Large‐Scale Quadratic Matrix Equations

Peter Benner, P. Benner, 2002 .

Nanoelectronic COupled problems solutions - nanoCOPS: modelling, multirate, model order reduction, uncertainty quantification, fast fault simulation

M. Günther, P. Benner, H. de Gersem, 2016 .

Parametric modeling and model order reduction for (electro-)thermal analysis of nanoelectronic structures

P. Benner, W. Schoenmaker, Lihong Feng, 2016 .

Model Order Reduction for nanoelectronics coupled problems with many inputs

Peter Benner, Wim Schoenmaker, Peter Meuris, 2016, 2016 Design, Automation & Test in Europe Conference & Exhibition (DATE).

The European Project nanoCOPS for Nanoelectronic Coupled Problems Solutions

Sebastian Schöps, E. Jan W. ter Maten, Peter Benner, 2014 .

Parametric and Reduced-Order Modeling for the Thermal Analysis of Nanoelectronic Structures

Peter Benner, Wim Schoenmaker, Peter Meuris, 2016 .

Model Order Reduction of an Electro-Thermal Package Model

Peter Benner, Wim Schoenmaker, Peter Meuris, 2015 .

Application of Krylov-type Parametric Model Order Reduction in Efficient Uncertainty Quantification of Electro-thermal Circuit Models

Peter Benner, Wim Schoenmaker, Peter Meuris, 2015 .

Model Order Reduction for Coupled Problems: Survey

Peter Benner, Lihong Feng, P. Benner, 2015 .

An Adaptive Pole-Matching Method for Interpolating Reduced-Order Models pdf

Peter Benner, Lihong Feng, Yao Yue, 2019, ArXiv.

An index-aware parametric model order reduction method for parameterized quadratic differential-algebraic equations

Peter Benner, Wim Schoenmaker, Peter Meuris, 2018, Appl. Math. Comput..

Solving Large-Scale Quadratic Eigenvalue Problems with Hamiltonian eigenstructure using a Structure-Preserving Krylov Subspace Method

Peter Benner, Martin Stoll, Heike Faßbender, 2008 .

A rational SHIRA method for the Hamiltonian eigenvalue problem

P. Benner, C. Effenberger, 2010 .

Initializing Newton's method for discrete-time algebraic Riccati equations using the butterfly SZ algorithm

P. Benner, P. Benner, H. Faßbender, 1999, Proceedings of the 1999 IEEE International Symposium on Computer Aided Control System Design (Cat. No.99TH8404).

Inexact nested Newton-ADI method to solve large-scale algebraic Riccati equations

M. Heinkenschloss, P. Benner, J. Saak, 2015 .

NUMERICAL COMPUTATION OF DEFLATING SUBSPACES OF SKEW-HAMILTONIAN / HAMILTONIAN PENCILS

R. Byers, V. Mehrmann, P. Benner, 2002 .

On a numerical method for the regularization of descriptor systems

Peter Benner, P. Benner, 2001 .

A Numerical Comparison of Different Solvers for Large-Scale, Continuous-Time Algebraic Riccati Equations and LQR Problems

P. Benner, J. Saak, Zvonimir Bujanovic, 2018, SIAM J. Sci. Comput..

Riccati-based Boundary Feedback Stabilization of Incompressible Navier-Stokes Flows

P. Benner, E. Bänsch, J. Saak, 2015, SIAM J. Sci. Comput..

Computational Methods for Linear-Quadratic Optimization

Peter Benner, P. Benner, 1999 .

Nonlinear feedback stabilization of incompressible flows via updated Riccati-based gains

Peter Benner, Jan Heiland, P. Benner, 2017, 2017 IEEE 56th Annual Conference on Decision and Control (CDC).

Convergence of Approximations to Riccati-based Boundary-feedback Stabilization of Laminar Flows

P. Benner, J. Heiland, 2017 .

Moment‐matching based model reduction for Navier–Stokes type quadratic‐bilinear descriptor systems

Peter Benner, Mian Ilyas Ahmad, Jan Heiland, 2017 .

Efficient Solvers for Large-Scale Saddle Point Systems Arising in Feedback Stabilization of Multi-field Flow Problems

Peter Benner, Martin Stoll, Jens Saak, 2013, System Modelling and Optimization.

Robust Controller versus Numerical Model Uncertainties for Stabilization of Navier-Stokes Equations

Steffen W. R. Werner, P. Benner, J. Heiland, 2019, IFAC-PapersOnLine.

Robust Stabilization of Laminar Flows in Varying Flow Regimes

Peter Benner, Jan Heiland, P. Benner, 2016 .

Moment-Matching Based Model Reduction for Stokes-Type Quadratic-Bilinear Descriptor Systems

Peter Benner, Mian Ilyas Ahmad, Pawan Goyal, 2015 .

Projection‐Based Model Reduction for Time‐Varying Descriptor Systems Using Recycled Krylov Subspaces

Peter Benner, Mohammad-Sahadet Hossain, P. Benner, 2008 .

Linear-Quadratic Regulator Design for Optimal Cooling of Steel Profiles

Peter Benner, Jens Saak, P. Benner, 2006 .

Parallel Order Reduction via Balanced Truncation for Optimal Cooling of Steel Profiles

Rafael Mayo, Enrique S. Quintana-Ortí, Peter Benner, 2005, Euro-Par.

Model order reduction for bilinear control systems with inhomogeneous initial conditions

Wil H. A. Schilders, Peter Benner, Igor Pontes Duff, 2020, Int. J. Control.

Generalised tangential interpolation for model reduction of discrete-time MIMO bilinear systems

Peter Benner, Tobias Breiten, Tobias Damm, 2011, Int. J. Control.

Krylov Subspace Methods for Model Order Reduction of Bilinear Discrete‐Time Control Systems

Peter Benner, Tobias Breiten, Tobias Damm, 2010 .

Positive Operators and Stable Truncation

Peter Benner, Martin Redmann, Tobias Damm, 2016 .

A Unified Deflating Subspace Approach for Classes of Polynomial and Rational Matrix Equations ∗

R. Byers, V. Mehrmann, P. Benner, 2000 .

POD-DEIM for efficient reduction of a dynamic 2D catalytic reactor model

Peter Benner, Kai Sundmacher, Pawan Goyal, 2017, Comput. Chem. Eng..

KRYLOV SUBSPACE ITERATION

Peter Benner, Thomas Günther, T. Günther, 2005 .

Parametric Dynamic Mode Decomposition for nonlinear parametric dynamical systems

P. Benner, Lihong Feng, T. Vidaković-Koch, 2023, ArXiv.

Large-Scale Computation of $\mathcal{L}_\infty$-Norms by a Greedy Subspace Method

P. Benner, M. Voigt, E. Mengi, 2017, 1705.10086.

Deep Learning for Structure-Preserving Universal Stable Koopman-Inspired Embeddings for Nonlinear Canonical Hamiltonian Dynamics

P. Benner, P. Goyal, Süleyman Yıldız, 2023, ArXiv.

Efficient numerical methods for gas network modeling and simulation

Sara Grundel, Peter Benner, Martin Stoll, 2018, Networks Heterog. Media.

Tuning the Blocksize for Dense Linear Algebra Factorization Routines with the Roofline Model

Enrique S. Quintana-Ortí, Peter Benner, Pablo Ezzatti, 2016, ICA3PP Workshops.

Solving dense linear systems with hybrid ARM+GPU platforms

Enrique S. Quintana-Ortí, Peter Benner, Pablo Ezzatti, 2015, 2015 Latin American Computing Conference (CLEI).

Active-Learning-Driven Surrogate Modeling for Efficient Simulation of Parametric Nonlinear Systems

P. Benner, Lihong Feng, Harshit Kapadia, 2023, Computer Methods in Applied Mechanics and Engineering.

Block-Diagonal Preconditioning for Optimal Control Problems Constrained by PDEs with Uncertain Inputs

Peter Benner, Martin Stoll, Akwum Onwunta, 2016, SIAM J. Matrix Anal. Appl..

A Low-rank Method for Parameter-dependent Fluid-structure Interaction Discretizations With Hyperelasticity

P. Benner, T. Richter, Roman Weinhandl, 2020, ArXiv.

Adjacency‐based, non‐intrusive reduced‐order modeling for fluid‐structure interactions

P. Benner, T. Richter, L. Gkimisis, 2023, PAMM.

Adaptive discontinuous Galerkin approximation of optimal control problems governed by transient convection-diffusion equations

Peter Benner, Martin Stoll, Hamdullah Yücel, 2018, ETNA - Electronic Transactions on Numerical Analysis.

Adaptive discontinuous Galerkin methods for state constrained optimal control problems governed by convection diffusion equations

P. Benner, Hamdullah Yücel, 2014, Computational Optimization and Applications.

On the numerical solution of large-scale sparse discrete-time Riccati equations

P. Benner, H. Faßbender, 2009 .

Locally Optimal Block Preconditioned Conjugate Gradient Method for Hierarchical Matrices

Peter Benner, Thomas Mach, P. Benner, 2011 .

Computing electrostatic potentials using regularization based on the range-separated tensor format

B. Khoromskij, V. Khoromskaia, P. Benner, 2019, 1901.09864.

Parallel solution of large-scale algebraic Bernoulli equations with the matrix sign function method

Enrique S. Quintana-Ortí, Peter Benner, Sergio Barrachina, 2005, 2005 International Conference on Parallel Processing Workshops (ICPPW'05).

Periodic optimal control of a plug flow reactor model with an isoperimetric constraint

A. Seidel-Morgenstern, P. Benner, A. Zuyev, 2023, 2308.04804.

Stabilization of Crystallization Models Governed by Hyperbolic Systems

Peter Benner, Alexander Zuyev, P. Benner, 2020, SEMA SIMAI Springer Series.

Control design for a 2 ⊗ 2 hyperbolic system with application to preferential crystallization

P. Benner, A. Zuyev, 2018, PAMM.

Construction of a Lyapunov functional for a class of controlled population balance models

P. Benner, A. Kienle, A. Zuyev, 2017 .

Periodic two-dimensional descriptor systems

P. Van Dooren, P. Benner, 2023, The Electronic Journal of Linear Algebra.

A linear quadratic control problem for the stochastic heat equation driven by Q-Wiener processes

P. Benner, Christoph Trautwein, 2018 .

Guaranteed Stable Quadratic Models and their applications in SINDy and Operator Inference

P. Benner, I. P. Duff, P. Goyal, 2023, ArXiv.

Palindromic linearization and numerical solution of nonsymmetric algebraic T-Riccati equations pdf

Peter Benner, Bruno Iannazzo, Beatrice Meini, 2021, BIT Numerical Mathematics.

A discontinuous Galerkin method for optimal control problems governed by a system of convection-diffusion PDEs with nonlinear reaction terms

Peter Benner, Martin Stoll, Hamdullah Yücel, 2015, Comput. Math. Appl..

Operator inference for non-intrusive model reduction of systems with non-polynomial nonlinear terms pdf

Benjamin Peherstorfer, Karen Willcox, Peter Benner, 2020, Computer Methods in Applied Mechanics and Engineering.

Exponential Lag Synchronization of Cohen–Grossberg Neural Networks with Discrete and Distributed Delays on Time Scales

P. Benner, J. Heiland, Vipin Kumar, 2022, Neural Processing Letters.

A new method for computing the stable invariant subspace of a real Hamiltonian matrix

V. Mehrmann, P. Benner, Hongguo Xu, 1997 .

A linear implicit Euler method for the finite element discretization of a controlled stochastic heat equation pdf

Peter Benner, Tony Stillfjord, Christoph Trautwein, 2020, IMA Journal of Numerical Analysis.

M-M.E.S.S.-2.0 — The “Matrix Equations, Sparse Solvers” toolbox for MATLAB® and GNU Octave

Peter Benner, Jens Saak, Martin Köhler, 2019 .

Frequency- and Time-Limited Balanced Truncation for Large-Scale Second-Order Systems

Steffen W. R. Werner, P. Benner, 2020, Linear Algebra and its Applications.

Solving Differential Riccati Equations on Multi-GPU Platforms

Enrique S. Quintana-Ortí, Peter Benner, Pablo Ezzatti, 2011 .

The preconditioned inverse iteration for hierarchical matrices

P. Benner, T. Mach, 2013, Numer. Linear Algebra Appl..

A weighted subspace exponential kernel for support tensor machines

P. Benner, M. Stoll, S. Dolgov, 2023, ArXiv.

Data-Driven Identification of Quadratic Representations for Nonlinear Hamiltonian Systems using Weakly Symplectic Liftings

P. Benner, P. Goyal, Süleyman Yıldız, 2023, Journal of Machine Learning for Modeling and Computing.