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  1. Accelerating interactive experiences using stored original solution frames

    Article • July 2023, ACM (Association for Computing Machinery)

    Professor Peter Benner, Shaimaa Monem

  2. Least-squares method in the theory of nonlinear boundary-value problems unsolved with respect to the derivative

    Article • Ukrains’kyi Matematychnyi Zhurnal, February 2023, Institute of Mathematics National Academy of Sciences of Ukraine

    Professor Peter Benner

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

    Article • IEEE Transactions on Microwave Theory and Techniques, December 2022, Institute of Electrical & Electronics Engineers (IEEE)

    Professor Peter Benner, Professor Giulio Antonini

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

    Article • IEEE Transactions on Microwave Theory and Techniques, November 2022, Institute of Electrical & Electronics Engineers (IEEE)

    Professor Peter Benner

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

    Article • Numerical Algorithms, October 2022, Springer Science + Business Media

    Professor Peter Benner

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

    Article • IEEE Transactions on Circuits and Systems I Regular Papers, October 2022, Institute of Electrical & Electronics Engineers (IEEE)

    Professor Peter Benner, Professor Giulio Antonini

  7. The Hamiltonian extended Krylov subspace method

    Article • Electronic Journal of Linear Algebra, September 2022, University of Wyoming Libraries

    Professor Peter Benner, Prof. Dr. Heike Faßbender

  8. Stable and Efficient Computation of Generalized Polar Decompositions

    Article • SIAM Journal on Matrix Analysis and Applications, July 2022, Society for Industrial & Applied Mathematics (SIAM)

    Professor Peter Benner

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

    Article • Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences, June 2022, Royal Society Publishing

    Professor Peter Benner

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

    Article • Numerical Algorithms, May 2022, Springer Science + Business Media

    Professor Peter Benner

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

    Article • Numerical Linear Algebra with Applications, May 2022, Wiley

    Professor Peter Benner

  12. Robust output-feedback stabilization for incompressible flows using low-dimensional $$\mathcal {H}_{\infty }$$-controllers

    Article • Computational Optimization and Applications, March 2022, Springer Science + Business Media

    Professor Peter Benner

  13. Gramians, Energy Functionals, and Balanced Truncation for Linear Dynamical Systems With Quadratic Outputs

    Article • IEEE Transactions on Automatic Control, February 2022, Institute of Electrical & Electronics Engineers (IEEE)

    Professor Peter Benner

  14. Parallel Algorithms for Tensor Train Arithmetic

    Article • SIAM Journal on Scientific Computing, February 2022, Society for Industrial & Applied Mathematics (SIAM)

    Professor Peter Benner

  15. A Reduced Order Modelling Approach for Full-Maxwell Lightning Strike Analyses in Layered Backgrounds

    Article • IEEE Transactions on Power Delivery, January 2022, Institute of Electrical & Electronics Engineers (IEEE)

    Professor Peter Benner, Professor Giulio Antonini

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

    Article • Journal of Dynamics and Differential Equations, August 2021, Springer Science + Business Media

    Professor Peter Benner

  17. Frequency- and time-limited balanced truncation for large-scale second-order systems

    Article • Linear Algebra and its Applications, August 2021, Elsevier

    Professor Peter Benner

  18. Model order reduction for gas and energy networks

    Article • Journal of Mathematics in Industry, July 2021, Springer Science + Business Media

    Professor Peter Benner

  19. Relative perturbation theory for quadratic Hermitian eigenvalue problems

    Article • Linear Algebra and its Applications, June 2021, Elsevier

    Professor Peter Benner

  20. Structure-preserving interpolation of bilinear control systems

    Article • Advances in Computational Mathematics, May 2021, Springer Science + Business Media

    Professor Peter Benner

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

    Article • Journal of Applied Crystallography, March 2021, International Union of Crystallography

    Professor Peter Benner

  22. On error estimation for reduced-order modeling of linear non-parametric and parametric systems

    Article • ESAIM Mathematical Modelling and Numerical Analysis, March 2021, EDP Sciences

    Professor Peter Benner

  23. A Rational Even-IRA Algorithm for the Solution of $T$-Even Polynomial Eigenvalue Problems

    Article • SIAM Journal on Matrix Analysis and Applications, January 2021, Society for Industrial & Applied Mathematics (SIAM)

    Professor Peter Benner

  24. Interpolation-Based Model Order Reduction for Polynomial Systems

    Article • SIAM Journal on Scientific Computing, January 2021, Society for Industrial & Applied Mathematics (SIAM)

    Professor Peter Benner

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

    Article • SIAM Journal on Scientific Computing, January 2021, Society for Industrial & Applied Mathematics (SIAM)

    Professor Peter Benner

  26. MathEnergy – Mathematical Key Technologies for Evolving Energy Grids

    Article • January 2021, Springer Science + Business Media

    Professor Peter Benner

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

    Article • Advances in Computational Mathematics, November 2020, Springer Science + Business Media

    Professor Peter Benner

  28. Model order reduction for delay systems by iterative interpolation

    Article • International Journal for Numerical Methods in Engineering, October 2020, Wiley

    Professor Peter Benner

  29. Adaptive basis construction and improved error estimation for parametric nonlinear dynamical systems

    Article • International Journal for Numerical Methods in Engineering, August 2020, Wiley

    Professor Peter Benner

  30. Low‐rank linear fluid‐structure interaction discretizations

    Article • ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, July 2020, Wiley

    Professor Peter Benner

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

    Article • IEEE Transactions on Automatic Control, June 2020, Institute of Electrical & Electronics Engineers (IEEE)

    Professor Peter Benner

  32. Model order reduction for bilinear control systems with inhomogeneous initial conditions

    Article • International Journal of Control, March 2020, Taylor & Francis

    Professor Peter Benner

  33. Hankel-norm approximation of large-scale descriptor systems

    Article • Advances in Computational Mathematics, March 2020, Springer Science + Business Media

    Professor Peter Benner

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

    Article • SIAM Journal on Scientific Computing, January 2020, Society for Industrial & Applied Mathematics (SIAM)

    Professor Peter Benner

  35. A Subspace Framework for ${\mathcal H}_\infty$-Norm Minimization

    Article • SIAM Journal on Matrix Analysis and Applications, January 2020, Society for Industrial & Applied Mathematics (SIAM)

    Professor Peter Benner

  36. MORLAB – A Model Order Reduction Framework in MATLAB and Octave

    Article • January 2020, Springer Science + Business Media

    Professor Peter Benner

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

    Article • IEEE Transactions on Microwave Theory and Techniques, December 2019, Institute of Electrical & Electronics Engineers (IEEE)

    Professor Peter Benner

  38. Cross-Gramian-based dominant subspaces

    Article • Advances in Computational Mathematics, November 2019, Springer Science + Business Media

    Professor Peter Benner

  39. Solution formulas for differential Sylvester and Lyapunov equations

    Article • CALCOLO, November 2019, Springer Science + Business Media

    Professor Peter Benner

  40. Greedy low-rank algorithm for spatial connectome regression

    Article • The Journal of Mathematical Neuroscience, November 2019, Springer Science + Business Media

    Professor Peter Benner

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

    Article • October 2019, Springer Science + Business Media

    Professor Peter Benner

  42. Balanced Truncation for a Special Class of Bilinear Descriptor Systems

    Article • IEEE Control Systems Letters, July 2019, Institute of Electrical & Electronics Engineers (IEEE)

    Professor Peter Benner

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

    Article • Applied Mathematical Modelling, May 2019, Elsevier

    Professor Peter Benner

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

    Article • Journal of Computational Physics, April 2019, Elsevier

    Professor Peter Benner

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

    Article • SIAM Journal on Matrix Analysis and Applications, January 2019, Society for Industrial & Applied Mathematics (SIAM)

    Professor Peter Benner

  46. A new two-sided projection technique for model reduction of quadratic-bilinear descriptor systems

    Article • International Journal of Computer Mathematics, October 2018, Taylor & Francis

    Professor Peter Benner

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

    Article • Computational Methods in Applied Mathematics, July 2018, De Gruyter

    Professor Peter Benner

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

    Article • Engineering Optimization, May 2018, Taylor & Francis

    Professor Peter Benner

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

    Article • Journal of Numerical Mathematics, March 2018, De Gruyter

    Professor Peter Benner

  50. Model reduction of linear multi-agent systems by clustering with $$\varvec{\mathcal {H}_2}$$ ...

    Article • Mathematics of Control Signals and Systems, March 2018, Springer Science + Business Media

    Professor Peter Benner

  51. On reduced input-output dynamic mode decomposition

    Article • Advances in Computational Mathematics, February 2018, Springer Science + Business Media

    Professor Peter Benner

  52. Model reduction by iterative error system approximation

    Article • Mathematical and Computer Modelling of Dynamical Systems, January 2018, Taylor & Francis

    Professor Peter Benner

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

    Article • Journal of Mathematical Analysis and Applications, January 2018, Elsevier

    Professor Peter Benner

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

    Article • ESAIM Mathematical Modelling and Numerical Analysis, November 2017, EDP Sciences

    Professor Peter Benner

  55. AnH2-type error bound for balancing-related model order reduction of linear systems with Lévy noise

    Article • Systems & Control Letters, July 2017, Elsevier

    Professor Peter Benner

  56. Implicit Volterra series interpolation for model reduction of bilinear systems

    Article • Journal of Computational and Applied Mathematics, May 2017, Elsevier

    Professor Peter Benner

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

    Article • Journal of Computational and Applied Mathematics, May 2017, Elsevier

    Professor Peter Benner

  58. An isoperimetric optimal control problem for a non-isothermal chemical reactor with periodic inputs

    Article • Chemical Engineering Science, April 2017, Elsevier

    Professor Peter Benner

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

    Article • Journal of Computational Physics, April 2017, Elsevier

    Professor Peter Benner

  60. Extending the Gauss-Huard method for the solution of Lyapunov matrix equations and matrix inversion

    Article • Concurrency and Computation Practice and Experience, March 2017, Wiley

    Professor Peter Benner

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

    Article • IEEE Transactions on Automatic Control, February 2017, Institute of Electrical & Electronics Engineers (IEEE)

    Professor Peter Benner

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

    Article • SIAM Journal on Matrix Analysis and Applications, January 2017, Society for Industrial & Applied Mathematics (SIAM)

    Professor Peter Benner

  63. Adaptive Symmetric Interior Penalty Galerkin Method for Boundary Control Problems

    Article • SIAM Journal on Numerical Analysis, January 2017, Society for Industrial & Applied Mathematics (SIAM)

    Professor Peter Benner

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

    Article • Computers & Chemical Engineering, January 2017, Elsevier

    Professor Peter Benner

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

    Article • Journal of Mathematics in Industry, November 2016, Springer Science + Business Media

    Professor Peter Benner

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

    Article • Systems & Control Letters, November 2016, Elsevier

    Professor Peter Benner

  67. Krylov subspace methods for model reduction of quadratic-bilinear systems

    Article • IET Control Theory and Applications, October 2016, the Institution of Engineering and Technology (the IET)

    Professor Peter Benner, Dr Imad Jaimoukha

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

    Article • Applied Numerical Mathematics, October 2016, Elsevier

    Professor Peter Benner

  69. Structure preserving model order reduction of large sparse second-order index-1 systems and application to a mechatronics model

    Article • Mathematical and Computer Modelling of Dynamical Systems, August 2016, Taylor & Francis

    Professor Peter Benner

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

    Article • Journal of Mathematics in Industry, June 2016, Springer Science + Business Media

    Professor Peter Benner

  71. Algorithm 961

    Article • ACM Transactions on Mathematical Software, June 2016, ACM (Association for Computing Machinery)

    Professor Peter Benner

  72. Low-rank solvers for unsteady Stokes–Brinkman optimal control problem with random data

    Article • Computer Methods in Applied Mechanics and Engineering, June 2016, Elsevier

    Professor Peter Benner

  73. Positive operators and stable truncation

    Article • Linear Algebra and its Applications, June 2016, Elsevier

    Professor Peter Benner

  74. Computation of thermo-elastic deformations on machine tools a study of numerical methods

    Article • Production Engineering, April 2016, Springer Science + Business Media

    Professor Peter Benner

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

    Article • Journal of Applied Mathematics and Computing, April 2016, Springer Science + Business Media

    Professor Peter Benner

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

    Article • Journal of the Franklin Institute, March 2016, Elsevier

    Professor Peter Benner

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

    Article • Molecular Physics, February 2016, Taylor & Francis

    Professor Peter Benner

  78. PMOR for Nanoelectronic Coupled Problems

    Article • January 2016, ScienceOpen

    Professor Peter Benner

  79. A Parallel Multi-threaded Solver for Symmetric Positive Definite Bordered-Band Linear Systems

    Article • January 2016, Springer Science + Business Media

    Professor Peter Benner

  80. Balancing based model reduction for structured index-2 unstable descriptor systems with application to flow control

    Article • Numerical Algebra Control & Optimization, January 2016, American Institute of Mathematical Sciences (AIMS)

    Professor Peter Benner

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

    Article • SIAM Journal on Matrix Analysis and Applications, January 2016, Society for Industrial & Applied Mathematics (SIAM)

    Professor Peter Benner

  82. Frequency-Limited Balanced Truncation with Low-Rank Approximations

    Article • SIAM Journal on Scientific Computing, January 2016, Society for Industrial & Applied Mathematics (SIAM)

    Professor Peter Benner

  83. Modeling Glyphosate aerial spray drift at the Ecuador–Colombia border

    Article • Applied Mathematical Modelling, January 2016, Elsevier

    Professor Peter Benner

  84. Nonlinear Model Order Reduction for Catalytic Tubular Reactors

    Article • January 2016, Elsevier

    Professor Peter Benner

  85. On the solution of large-scale algebraic Riccati equations by using low-dimensional invariant subspaces

    Article • Linear Algebra and its Applications, January 2016, Elsevier

    Professor Peter Benner

  86. Output Error Estimates in Reduced Basis Methods for Time-Harmonic Maxwell’s Equations

    Article • January 2016, Springer Science + Business Media

    Professor Peter Benner

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

    Article • January 2016, Springer Science + Business Media

    Professor Peter Benner

  88. Reduced Basis Modeling for Uncertainty Quantification of Electromagnetic Problems in Stochastically Varying Domains

    Article • January 2016, Springer Science + Business Media

    Professor Peter Benner

  89. Revisiting the Gauss-Huard Algorithm for the Solution of Linear Systems on Graphics Accelerators

    Article • January 2016, Springer Science + Business Media

    Professor Peter Benner

  90. Robust Stabilization of Laminar Flows in Varying Flow Regimes

    Article • IFAC-PapersOnLine, January 2016, Elsevier

    Professor Peter Benner

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

    Article • January 2016, Springer Science + Business Media

    Professor Peter Benner

  92. Model Reduction of Parametrized Systems 2015

    Article • December 2015, ScienceOpen

    Professor Peter Benner

  93. A Fully Adaptive Scheme for Model Order Reduction Based on Moment Matching

    Article • IEEE Transactions on Components Packaging and Manufacturing Technology, December 2015, Institute of Electrical & Electronics Engineers (IEEE)

    Professor Peter Benner

  94. Nonlinear model reduction of a continuous fluidized bed crystallizer

    Article • Journal of Computational and Applied Mathematics, December 2015, Elsevier

    Professor Peter Benner

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

    Article • Computers & Mathematics with Applications, November 2015, Elsevier

    Professor Peter Benner

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

    Article • IEEE Transactions on Microwave Theory and Techniques, November 2015, Institute of Electrical & Electronics Engineers (IEEE)

    Professor Peter Benner

  97. Time-dependent Dirichlet Conditions in Finite Element Discretizations

    Article • ScienceOpen Research, October 2015, ScienceOpen

    Professor Peter Benner

  98. Model order reduction of parameterized systems (MoRePaS)

    Article • Advances in Computational Mathematics, October 2015, Springer Science + Business Media

    Professor Peter Benner

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

    Article • Cluster Computing, September 2015, Springer Science + Business Media

    Professor Peter Benner

  100. Simulation of the Glyphosate Spray Drift at the Ecuador-Colombia border

    Article • September 2015, ScienceOpen

    Professor Peter Benner

  101. Introduction to the special issue for EUCCO 2013

    Article • Computational Optimization and Applications, August 2015, Springer Science + Business Media

    Professor Peter Benner

  102. Numerical Algebra, Matrix Theory, Differential-Algebraic Equations, and Control Theory

    Article • July 2015, ScienceOpen

    Professor Peter Benner

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

    Article • July 2015, ScienceOpen

    Professor Peter Benner

  104. An efficient output error bound for model order reduction of parametrized evolution equations

    Article • International Journal for Numerical Methods in Engineering, June 2015, Wiley

    Mr Yongjin Zhang, Professor Peter Benner

  105. Fast and Reliable Noise Estimation for Hyperspectral Subspace Identification

    Article • IEEE Geoscience and Remote Sensing Letters, June 2015, Institute of Electrical & Electronics Engineers (IEEE)

    Professor Peter Benner

  106. Semi-active damping optimization of vibrational systems using the parametric dominant pole algorithm

    Article • ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, May 2015, Wiley

    Professor Peter Benner

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

    Article • Advances in Computational Mathematics, February 2015, Springer Science + Business Media

    Professor Peter Benner

  108. Drogen, Herbizide und numerische Simulation

    Article • Mitteilungen der Deutschen Mathematiker-Vereinigung, January 2015, De Gruyter

    Professor Peter Benner, Rene Schneider

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

    Article • SIAM Review, January 2015, Society for Industrial & Applied Mathematics (SIAM)

    Prof Karen E Willcox, Professor Peter Benner

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

    Article • January 2015, Springer Science + Business Media

    Dr Jan Heiland, Professor Peter Benner

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

    Article • SIAM Journal on Scientific Computing, January 2015, Society for Industrial & Applied Mathematics (SIAM)

    Professor Peter Benner

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

    Article • Applied Mathematics Letters, January 2015, Elsevier

    Professor Peter Benner

  113. Recycling BiCGSTAB with an Application to Parametric Model Order Reduction

    Article • SIAM Journal on Scientific Computing, January 2015, Society for Industrial & Applied Mathematics (SIAM)

    Professor Peter Benner

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

    Article • SIAM Journal on Scientific Computing, January 2015, Society for Industrial & Applied Mathematics (SIAM)

    Professor Peter Benner

  115. Two-Sided Projection Methods for Nonlinear Model Order Reduction

    Article • SIAM Journal on Scientific Computing, January 2015, Society for Industrial & Applied Mathematics (SIAM)

    Professor Peter Benner

  116. UNCERTAINTY QUANTIFICATION FOR MAXWELL'S EQUATIONS USING STOCHASTIC COLLOCATION AND MODEL ORDER REDUCTION

    Article • International Journal for Uncertainty Quantification, January 2015, Begell House

    Professor Peter Benner

  117. Theory and Numerical Solution of Differential and Algebraic Riccati Equations

    Article • January 2015, Springer Science + Business Media

    Professor Peter Benner

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

    Article • The Journal of Supercomputing, November 2014, Springer Science + Business Media

    Professor Peter Benner

  119. Model Order Reduction for Thermo-Elastic Assembly Group Models

    Article • November 2014, Springer Science + Business Media

    Professor Peter Benner

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

    Article • Computational Optimization and Applications, August 2014, Springer Science + Business Media

    Professor Peter Benner

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

    Article • Archives of Computational Methods in Engineering, August 2014, Springer Science + Business Media

    Professor Peter Benner

  122. Using surrogate models for efficient optimization of simulated moving bed chromatography

    Article • Computers & Chemical Engineering, August 2014, Elsevier

    Professor Peter Benner

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

    Article • AIChE Journal, July 2014, Wiley

    Professor Peter Benner

  124. Reduced Basis Method in Electromagnetics

    Article • COMPEL The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, July 2014, Emerald

    Professor Peter Benner

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

    Article • Mathematical and Computer Modelling of Dynamical Systems, June 2014, Taylor & Francis

    Professor Peter Benner

  126. Interpolatory model reduction techniques for linear second-order descriptor systems

    Article • June 2014, Institute of Electrical & Electronics Engineers (IEEE)

    Professor Peter Benner

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

    Article • Computers & Mathematics with Applications, May 2014, Elsevier

    Professor Peter Benner

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

    Article • Systems & Control Letters, May 2014, Elsevier

    Professor Peter Benner

  129. Fast solution of Cahn–Hilliard variational inequalities using implicit time discretization and finite elements

    Article • Journal of Computational Physics, April 2014, Elsevier

    Professor Peter Benner

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

    Article • BIT Numerical Mathematics, February 2014, Springer Science + Business Media

    Professor Peter Benner

  131. Model Order Reduction for Systems with Moving Loads

    Article • at - Automatisierungstechnik, January 2014, De Gruyter

    Professor Peter Benner

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

    Article • Numerical Algorithms, January 2014, Springer Science + Business Media

    Professor Peter Benner

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

    Article • January 2014, Springer Science + Business Media

    Professor Peter Benner

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

    Article • Journal of Numerical Mathematics, January 2014, De Gruyter

    Professor Peter Benner

  135. Numerical Solution of Projected Algebraic Riccati Equations

    Article • SIAM Journal on Numerical Analysis, January 2014, Society for Industrial & Applied Mathematics (SIAM)

    Professor Peter Benner

  136. On the squared Smith method for large-scale Stein equations

    Article • Numerical Linear Algebra with Applications, December 2013, Wiley

    Professor Peter Benner

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

    Article • Mathematical and Computer Modelling of Dynamical Systems, December 2013, Taylor & Francis

    Professor Peter Benner

  138. Solving Matrix Equations on Multi-Core and Many-Core Architectures

    Article • Algorithms, November 2013, MDPI AG

    Professor Peter Benner

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

    Article • Mathematics of Control Signals and Systems, November 2013, Springer Science + Business Media

    Professor Peter Benner

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

    Article • Computers & Chemical Engineering, November 2013, Elsevier

    Professor Peter Benner

  141. Rosenbrock Methods for Solving Riccati Differential Equations

    Article • IEEE Transactions on Automatic Control, November 2013, Institute of Electrical & Electronics Engineers (IEEE)

    Professor Peter Benner

  142. A parallel, adaptive multi-point model order reduction algorithm

    Article • October 2013, Institute of Electrical & Electronics Engineers (IEEE)

    Professor Peter Benner, Professor Giulio Antonini

  143. Spectral characterization and enforcement of negative imaginariness for descriptor systems

    Article • Linear Algebra and its Applications, August 2013, Elsevier

    Professor Peter Benner

  144. The LR Cholesky algorithm for symmetric hierarchical matrices

    Article • Linear Algebra and its Applications, August 2013, Elsevier

    Professor Peter Benner

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

    Article • Numerical Algorithms, July 2013, Springer Science + Business Media

    Professor Peter Benner

  146. Fast Evaluation of Time–Harmonic Maxwell's Equations Using the Reduced Basis Method

    Article • IEEE Transactions on Microwave Theory and Techniques, June 2013, Institute of Electrical & Electronics Engineers (IEEE)

    Professor Peter Benner

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

    Article • Numerische Mathematik, March 2013, Springer Science + Business Media

    Professor Peter Benner

  148. Subspace recycling accelerates the parametric macro-modeling of MEMS

    Article • International Journal for Numerical Methods in Engineering, March 2013, Wiley

    Professor Peter Benner

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

    Article • SIAM Journal on Scientific Computing, January 2013, Society for Industrial & Applied Mathematics (SIAM)

    Professor Peter Benner

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

    Article • January 2013, Springer Science + Business Media

    Professor Peter Benner

  151. Unleashing CPU-GPU Acceleration for Control Theory Applications

    Article • January 2013, Springer Science + Business Media

    Professor Peter Benner

  152. Model Order Reduction: Techniques and Tools

    Article • January 2013, Springer Science + Business Media

    Professor Peter Benner

  153. Balancing-Related Model Reduction for Parabolic Control Systems

    Article • IFAC Proceedings Volumes, January 2013, Elsevier

    Professor Peter Benner

  154. Avoiding complex arithmetic in the low-rank ADI method efficiently

    Article • PAMM, December 2012, Wiley

    Professor Peter Benner

  155. Efficient Reduced Order State Space Model Computation for a Class of Second Order Index One Systems

    Article • PAMM, December 2012, Wiley

    Professor Peter Benner

  156. ℋ∞-Norm Computation for Large and Sparse Descriptor Systems

    Article • PAMM, December 2012, Wiley

    Professor Peter Benner

  157. Iterative solvers for periodic matrix equations and model reduction for periodic control systems

    Article • December 2012, Institute of Electrical & Electronics Engineers (IEEE)

    Professor Peter Benner

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

    Article • December 2012, Institute of Electrical & Electronics Engineers (IEEE)

    Professor Peter Benner

  159. The Reduced Basis Method for Time-Harmonic Maxwell's Equations

    Article • PAMM, December 2012, Wiley

    Professor Peter Benner

  160. Model reduction of an elastic crankshaft for elastic multibody simulations

    Article • ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, October 2012, Wiley

    Professor Peter Benner

  161. Matrix inversion on CPU-GPU platforms with applications in control theory

    Article • Concurrency and Computation Practice and Experience, October 2012, Wiley

    Professor Peter Benner

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

    Article • Production Engineering, September 2012, Springer Science + Business Media

    Professor Peter Benner

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

    Article • July 2012, Institute of Electrical & Electronics Engineers (IEEE)

    Professor Peter Benner

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

    Article • Numerical Algorithms, April 2012, Springer Science + Business Media

    Professor Peter Benner

  165. A mathematical biography of Danny C. Sorensen

    Article • Linear Algebra and its Applications, April 2012, Elsevier

    Professor Peter Benner

  166. The preconditioned inverse iteration for hierarchical matrices

    Article • Numerical Linear Algebra with Applications, February 2012, Wiley

    Professor Peter Benner

  167. Computing All or Some Eigenvalues of Symmetric $\mathcal{H}_{\ell}$-Matrices

    Article • SIAM Journal on Scientific Computing, January 2012, Society for Industrial & Applied Mathematics (SIAM)

    Professor Peter Benner

  168. Interpolation-Based ${\cal H}_2$-Model Reduction of Bilinear Control Systems

    Article • SIAM Journal on Matrix Analysis and Applications, January 2012, Society for Industrial & Applied Mathematics (SIAM)

    Professor Peter Benner

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

    Article • IEEE Transactions on Automatic Control, January 2012, Institute of Electrical & Electronics Engineers (IEEE)

    Professor Peter Benner

  170. Optimal damping of selected eigenfrequencies using dimension reduction

    Article • Numerical Linear Algebra with Applications, December 2011, Wiley

    Professor Peter Benner

  171. Robust formulas for optimalH∞controllers

    Article • Automatica, December 2011, Elsevier

    Professor Peter Benner

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

    Article • Advances in Computational Mathematics, August 2011, Springer Science + Business Media

    Prof. Dr. Heike Faßbender, Professor Peter Benner

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

    Article • Parallel Computing, August 2011, Elsevier

    Daniel Kressner, Professor Peter Benner

  174. A Hamiltonian Krylov–Schur-type method based on the symplectic Lanczos process

    Article • Linear Algebra and its Applications, August 2011, Elsevier

    Prof. Dr. Heike Faßbender, Professor Peter Benner

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

    Article • International Journal of Control, August 2011, Taylor & Francis

    Professor Peter Benner

  176. Parameter preserving model order reduction for MEMS applications

    Article • Mathematical and Computer Modelling of Dynamical Systems, August 2011, Taylor & Francis

    Professor Peter Benner

  177. Efficient balancing-based MOR for large-scale second-order systems

    Article • Mathematical and Computer Modelling of Dynamical Systems, March 2011, Taylor & Francis

    Professor Peter Benner

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

    Article • March 2011, Institute of Electrical & Electronics Engineers (IEEE)

    Professor Peter Benner

  179. Damping Optimization for Linear Vibrating Systems Using Dimension Reduction

    Article • January 2011, Springer Science + Business Media

    Professor Peter Benner

  180. Interpolatory Projection Methods for Parameterized Model Reduction

    Article • SIAM Journal on Scientific Computing, January 2011, Society for Industrial & Applied Mathematics (SIAM)

    Professor Peter Benner

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

    Article • SIAM Journal on Control and Optimization, January 2011, Society for Industrial & Applied Mathematics (SIAM)

    Professor Peter Benner

  182. Dimension reduction for damping optimization in linear vibrating systems

    Article • ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, December 2010, Wiley

    Professor Peter Benner

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

    Article • Computing, June 2010, Springer Science + Business Media

    Professor Peter Benner

  184. Die SLICOT-Toolboxen für MatlabThe SLICOT Toolboxes for Matlab

    Article • at - Automatisierungstechnik, January 2010, De Gruyter

    Daniel Kressner, Professor Peter Benner

  185. Advances in Balancing-Related Model Reduction for Circuit Simulation

    Article • January 2010, Springer Science + Business Media

    Professor Peter Benner

  186. Model Order Reduction for Systems with Non-Rational Transfer Function Arising in Computational Electromagnetics

    Article • January 2010, Springer Science + Business Media

    Professor Peter Benner

  187. Model Order and Terminal Reduction Approaches via Matrix Decomposition and Low Rank Approximation

    Article • January 2010, Springer Science + Business Media

    Professor Peter Benner

  188. On the ADI method for Sylvester equations

    Article • Journal of Computational and Applied Mathematics, December 2009, Elsevier

    Professor Peter Benner

  189. Parametric model order reduction accelerated by subspace recycling

    Article • December 2009, Institute of Electrical & Electronics Engineers (IEEE)

    Professor Peter Benner

  190. Modellreduktion für parametrisierte Systeme durch balanciertes Abschneiden und InterpolationModel Reduction for Parametric Systems Using Balanced Truncation and Interpolation

    Article • at - Automatisierungstechnik, January 2009, De Gruyter

    Professor Peter Benner

  191. Large-scale matrix equations of special type

    Article • Numerical Linear Algebra with Applications, November 2008, Wiley

    Professor Peter Benner

  192. Numerical solution of large-scale Lyapunov equations, Riccati equations, and linear-quadratic optimal control problems

    Article • Numerical Linear Algebra with Applications, November 2008, Wiley

    Professor Peter Benner

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

    Article • January 2008, Institute of Electrical & Electronics Engineers (IEEE)

    Professor Peter Benner

  194. Gramian-Based Model Reduction for Data-Sparse Systems

    Article • SIAM Journal on Scientific Computing, January 2008, Society for Industrial & Applied Mathematics (SIAM)

    Professor Peter Benner

  195. Parallel Implementation of LQG Balanced Truncation for Large-Scale Systems

    Article • January 2008, Springer Science + Business Media

    Professor Peter Benner

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

    Article • Numerical Algorithms, December 2007, Springer Science + Business Media

    Professor Peter Benner

  197. Arobust algorithm for parametric model order reduction

    Article • PAMM, December 2007, Wiley

    Professor Peter Benner

  198. A robust numerical method for the γ-iteration in H∞ control

    Article • Linear Algebra and its Applications, September 2007, Elsevier

    Professor Peter Benner

  199. On the Solution of the Rational Matrix Equation

    Article • EURASIP Journal on Advances in Signal Processing, May 2007, Springer Science + Business Media

    Prof. Dr. Heike Faßbender, Professor Peter Benner

  200. Stabilizing large-scale generalized systems on parallel computers using multithreading and message-passing

    Article • Concurrency and Computation Practice and Experience, January 2007, Wiley

    Professor Peter Benner

  201. Control Theory

    Article • November 2006, Taylor & Francis

    Professor Peter Benner

  202. Factorized Solution of Lyapunov Equations Based on Hierarchical Matrix Arithmetic

    Article • Computing, November 2006, Springer Science + Business Media

    Professor Peter Benner

  203. Partial realization of descriptor systems

    Article • Systems & Control Letters, November 2006, Elsevier

    Professor Peter Benner

  204. Passivity preserving model reduction via a structured Lanczos method

    Article • October 2006, Institute of Electrical & Electronics Engineers (IEEE)

    Prof. Dr. Heike Faßbender, Professor Peter Benner

  205. Algorithm 854

    Article • ACM Transactions on Mathematical Software, June 2006, ACM (Association for Computing Machinery)

    Daniel Kressner, Professor Peter Benner

  206. Special issue on “Order reduction of large-scale systems”

    Article • Linear Algebra and its Applications, June 2006, Elsevier

    Professor Peter Benner

  207. Balancing sparse Hamiltonian eigenproblems

    Article • Linear Algebra and its Applications, May 2006, Elsevier

    Daniel Kressner, Professor Peter Benner

  208. An Arithmetic for Matrix Pencils: Theory and New Algorithms

    Article • Numerische Mathematik, March 2006, Springer Science + Business Media

    Professor Peter Benner

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

    Article • at - Automatisierungstechnik, January 2006, De Gruyter

    Professor Peter Benner

  210. Solving Stable Sylvester Equations via Rational Iterative Schemes

    Article • Journal of Scientific Computing, December 2005, Springer Science + Business Media

    Professor Peter Benner

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

    Article • International Journal of Computational Science and Engineering, January 2005, Inderscience Publishers

    Professor Peter Benner

  212. Solving large-scale control problems

    Article • IEEE Control Systems, February 2004, Institute of Electrical & Electronics Engineers (IEEE)

    Professor Peter Benner

  213. A robust numerical method for optimal H/sub /spl infin// control

    Article • January 2004, Institute of Electrical & Electronics Engineers (IEEE)

    Professor Peter Benner

  214. Computing optimal Hankel norm approximations of large-scale systems

    Article • January 2004, Institute of Electrical & Electronics Engineers (IEEE)

    Professor Peter Benner

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

    Article • Parallel Computing, November 2003, Elsevier

    Professor Peter Benner

  216. Structure preservation: a challenge in computational control

    Article • Future Generation Computer Systems, October 2003, Elsevier

    Daniel Kressner, Professor Peter Benner

  217. The Kleinman Iteration for Nonstabilizable Systems

    Article • Mathematics of Control Signals and Systems, June 2003, Springer Science + Business Media

    Professor Peter Benner

  218. Parallel algorithms for model reduction of discrete-time systems

    Article • International Journal of Systems Science, April 2003, Taylor & Francis

    Professor Peter Benner

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

    Article • Journal of Parallel and Distributed Computing, February 2002, Elsevier

    Professor Peter Benner

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

    Article • SIAM Journal on Matrix Analysis and Applications, January 2002, Society for Industrial & Applied Mathematics (SIAM)

    Professor Peter Benner

  221. Article • BIT Numerical Mathematics, January 2002, Springer Science + Business Media

    Professor Peter Benner

  222. Evaluating products of matrix pencils and collapsing matrix products

    Article • Numerical Linear Algebra with Applications, January 2001, Wiley

    Professor Peter Benner

  223. Symplectic Balancing of Hamiltonian Matrices

    Article • SIAM Journal on Scientific Computing, January 2001, Society for Industrial & Applied Mathematics (SIAM)

    Professor Peter Benner

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

    Article • Mathematical and Computer Modelling of Dynamical Systems, December 2000, Taylor & Francis

    Professor Peter Benner

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

    Article • Parallel Computing, August 2000, Elsevier

    Professor Peter Benner

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

    Article • ACM Transactions on Mathematical Software, March 2000, ACM (Association for Computing Machinery)

    Professor Peter Benner

  227. Article • The Journal of Supercomputing, January 2000, Springer Science + Business Media

    Professor Peter Benner

  228. PARALLEL DISTRIBUTED SOLVERS FOR LARGE STABLE GENERALIZED LYAPUNOV EQUATIONS

    Article • Parallel Processing Letters, March 1999, World Scientific Pub Co Pte Lt

    Professor Peter Benner

  229. SR and SZ algorithms for the symplectic (butterfly) eigenproblem

    Article • Linear Algebra and its Applications, January 1999, Elsevier

    Prof. Dr. Heike Faßbender, Professor Peter Benner

  230. Article • Numerical Algorithms, January 1999, Springer Science + Business Media

    Professor Peter Benner

  231. Two connections between the SR and HR eigenvalue algorithms

    Article • Linear Algebra and its Applications, March 1998, Elsevier

    Prof. Dr. Heike Faßbender, Professor Peter Benner

  232. A numerically stable, structure preserving method for computing the eigenvalues of real Hamiltonian or symplectic pencils

    Article • Numerische Mathematik, January 1998, Springer Science + Business Media

    Professor Peter Benner

  233. An exact line search method for solving generalized continuous-time algebraic Riccati equations

    Article • IEEE Transactions on Automatic Control, January 1998, Institute of Electrical & Electronics Engineers (IEEE)

    Professor Peter Benner

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

    Article • Journal of Computational and Applied Mathematics, November 1997, Elsevier

    Professor Peter Benner

  235. Benchmarks for the numerical solution of algebraic Riccati equations

    Article • IEEE Control Systems, October 1997, Institute of Electrical & Electronics Engineers (IEEE)

    Professor Peter Benner

  236. An implicitly restarted symplectic Lanczos method for the Hamiltonian eigenvalue problem

    Article • Linear Algebra and its Applications, September 1997, Elsevier

    Prof. Dr. Heike Faßbender, Professor Peter Benner

  237. Skew-Hamiltonian and Hamiltonian Eigenvalue Problems: Theory, Algorithms and Applications

    Article • Springer Science + Business Media

    Daniel Kressner, Professor Peter Benner

  238. A generalized POD space-time Galerkin scheme for parameter dependent dynamical systems

    Article • ScienceOpen

    Dr Jan Heiland, Professor Peter Benner

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

    Article • Institute of Electrical & Electronics Engineers (IEEE)

    Prof. Dr. Heike Faßbender, Professor Peter Benner

  240. Efficient Solution of Algebraic Bernoulli Equations Using ℋ-Matrix Arithmetic

    Article • Springer Science + Business Media

    Professor Peter Benner

  241. Parallel Solution of Large-Scale Algebraic Bernoulli Equations with the Matrix Sign Function Method

    Article • Institute of Electrical & Electronics Engineers (IEEE)

    Professor Peter Benner

  242. Computing passive reduced-order models for circuit simulation

    Article • CrossRef Test Account

    Professor Peter Benner

  243. A service for remote model reduction of very large linear systems

    Article • Institute of Electrical & Electronics Engineers (IEEE)

    Professor Peter Benner

  244. A sparse approximate inverse preconditioner for the method of moments accelerated with the multilevel fast multipole method

    Article • Institute of Electrical & Electronics Engineers (IEEE)

    Professor Peter Benner

  245. Partial stabilization of large-scale discrete-time linear control systems

    Article • Institute of Electrical & Electronics Engineers (IEEE)

    Professor Peter Benner

  246. Singular perturbation approximation of large, dense linear systems

    Article • Institute of Electrical & Electronics Engineers (IEEE)

    Professor Peter Benner

  247. Arithmetic for rectangular matrix pencils

    Article • Institute of Electrical & Electronics Engineers (IEEE)

    Professor Peter Benner

  248. Numerical solution of linear-quadratic control problems for descriptor systems

    Article • Institute of Electrical & Electronics Engineers (IEEE)

    Professor Peter Benner

  249. Solving linear and quadratic matrix equations on distributed memory parallel computers

    Article • Institute of Electrical & Electronics Engineers (IEEE)

    Professor Peter Benner