Peter Benner

Orcid: 0000-0003-3362-4103

Affiliations:
  • University of Magdeburg, Germany
  • Max Planck Institute for Dynamics of Complex Technical Systems, Magdeburg, Germany
  • TU Chemnitz, Germany
  • University of Bremen, Germany (1997 - 2001)
  • TU Chemnitz, Germany (PhD 1997)


According to our database1, Peter Benner authored at least 349 papers between 1998 and 2024.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

Timeline

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Bibliography

2024
A posteriori error estimation for model order reduction of parametric systems.
Adv. Model. Simul. Eng. Sci., December, 2024

Periodic Optimal Control of a Plug Flow Reactor Model with an Isoperimetric Constraint.
J. Optim. Theory Appl., August, 2024

Balanced truncation for quadratic-bilinear control systems.
Adv. Comput. Math., August, 2024

Semi-active damping optimization of vibrational systems using the reduced basis method.
Adv. Comput. Math., June, 2024

Dominant subspaces of high-fidelity polynomial structured parametric dynamical systems and model reduction.
Adv. Comput. Math., June, 2024

Structured interpolation for multivariate transfer functions of quadratic-bilinear systems.
Adv. Comput. Math., April, 2024

Model reduction for systems in non-standard form.
Dataset, January, 2024

Rank-Minimizing and Structured Model Inference.
SIAM J. Sci. Comput., 2024

Parameterized Interpolation of Passive Systems.
SIAM J. Matrix Anal. Appl., 2024

Model reduction for second-order systems with inhomogeneous initial conditions.
Syst. Control. Lett., 2024

Estimates of the Kolmogorov n-Width for Nonlinear Transformations With Application to Distributed-Parameter Control Systems.
IEEE Control. Syst. Lett., 2024

Discrete empirical interpolation in the tensor t-product framework.
CoRR, 2024

Data-Augmented Predictive Deep Neural Network: Enhancing the extrapolation capabilities of non-intrusive surrogate models.
CoRR, 2024

Structure-preserving learning for multi-symplectic PDEs.
CoRR, 2024

Active Sampling of Interpolation Points to Identify Dominant Subspaces for Model Reduction.
CoRR, 2024

Divergence-free neural operators for stress field modeling in polycrystalline materials.
CoRR, 2024

GN-SINDy: Greedy Sampling Neural Network in Sparse Identification of Nonlinear Partial Differential Equations.
CoRR, 2024

MaRDIFlow: A CSE workflow framework for abstracting meta-data from FAIR computational experiments.
CoRR, 2024

Stability-Certified Learning of Control Systems with Quadratic Nonlinearities.
CoRR, 2024

Learning reduced-order Quadratic-Linear models in Process Engineering using Operator Inference.
CoRR, 2024

Numerical methods for closed-loop systems with non-autonomous data.
CoRR, 2024

Interpolatory Necessary Optimality Conditions for Reduced-order Modeling of Parametric Linear Time-invariant Systems.
CoRR, 2024

2023
Exponential Lag Synchronization of Cohen-Grossberg Neural Networks with Discrete and Distributed Delays on Time Scales.
Neural Process. Lett., December, 2023

A unifying framework for tangential interpolation of structured bilinear control systems.
Numerische Mathematik, December, 2023

Projective lag quasi-synchronization of coupled systems with mixed delays and parameter mismatch: a unified theory.
Neural Comput. Appl., November, 2023

A Structure-Preserving Divide-and-Conquer Method for Pseudosymmetric Matrices.
SIAM J. Matrix Anal. Appl., September, 2023

MORLAB - Model Order Reduction LABoratory.
Dataset, September, 2023

mini-MORB (Model Order Reduction Benchmarker).
Dataset, June, 2023

M-M.E.S.S. - The Matrix Equation Sparse Solver Library.
Dataset, May, 2023

On an integrated Krylov-ADI solver for large-scale Lyapunov equations.
Numer. Algorithms, January, 2023

A low-rank solution method for Riccati equations with indefinite quadratic terms.
Numer. Algorithms, 2023

Efficient Structure-preserving Support Tensor Train Machine.
J. Mach. Learn. Res., 2023

Fast and Reliable Reduced-Order Models for Cardiac Electrophysiology.
CoRR, 2023

Interpolatory H<sub>2</sub>-optimality Conditions for Structured Linear Time-invariant Systems.
CoRR, 2023

A Robust SINDy Approach by Combining Neural Networks and an Integral Form.
CoRR, 2023

Deep Learning for Structure-Preserving Universal Stable Koopman-Inspired Embeddings for Nonlinear Canonical Hamiltonian Dynamics.
CoRR, 2023

Guaranteed Stable Quadratic Models and their applications in SINDy and Operator Inference.
CoRR, 2023

Linearly Implicit Global Energy Preserving Reduced-order Models for Cubic Hamiltonian Systems.
CoRR, 2023

Data-Driven Identification of Quadratic Symplectic Representations of Nonlinear Hamiltonian Systems.
CoRR, 2023

Accurate error estimation for model reduction of nonlinear dynamical systems via data-enhanced error closure.
CoRR, 2023

Towards a Benchmark Framework for Model Order Reduction in the Mathematical Research Data Initiative (MaRDI).
CoRR, 2023

Active-Learning-Driven Surrogate Modeling for Efficient Simulation of Parametric Nonlinear Systems.
CoRR, 2023

Frequency-dependent Switching Control for Disturbance Attenuation of Linear Systems.
CoRR, 2023

Parametric Dynamic Mode Decomposition for nonlinear parametric dynamical systems.
CoRR, 2023

A weighted subspace exponential kernel for support tensor machines.
CoRR, 2023

Inference of Continuous Linear Systems from Data with Guaranteed Stability.
CoRR, 2023

Dominant Subspaces of High-Fidelity Nonlinear Structured Parametric Dynamical Systems and Model Reduction.
CoRR, 2023

Multi-fidelity error estimation accelerates greedy model reduction of complex dynamical systems.
CoRR, 2023

Improved Projective Dynamics Global Using Snapshots-based Reduced Bases.
Proceedings of the ACM SIGGRAPH 2023 Posters, 2023

Adomian Decomposition Method in The Theory of Nonlinear Periodic Boundary Value Problems with Delay.
Proceedings of the Selected Papers of the XX International Scientific Conference "Dynamical System Modeling and Stability Investigation" (DSMSI 2023). Volume 1: Mathematical Foundations of Information Technologies, Kyiv, Ukraine, December 20, 2023

MaRDIFlow: A Workflow Framework for Documentation and Integration of FAIR Computational Experiments.
Proceedings of the 1st Conference on Research Data Infrastructure - Connecting Communities, 2023

2022
Operator Inference for Quadratic Manifold Encodings.
Dataset, September, 2022

M-M.E.S.S. - The Matrix Equation Sparse Solver Library.
Dataset, February, 2022

Model Order Reduction for Delayed PEEC Models With Guaranteed Accuracy and Observed Stability.
IEEE Trans. Circuits Syst. I Regul. Pap., 2022

Gramians, Energy Functionals, and Balanced Truncation for Linear Dynamical Systems With Quadratic Outputs.
IEEE Trans. Autom. Control., 2022

Parallel Algorithms for Tensor Train Arithmetic.
SIAM J. Sci. Comput., 2022

Stable and Efficient Computation of Generalized Polar Decompositions.
SIAM J. Matrix Anal. Appl., 2022

Convergence analysis of vector extended locally optimal block preconditioned extended conjugate gradient method for computing extreme eigenvalues.
Numer. Linear Algebra Appl., 2022

Efficient and accurate algorithms for solving the Bethe-Salpeter eigenvalue problem for crystalline systems.
J. Comput. Appl. Math., 2022

Convolutional Neural Networks for Very Low-Dimensional LPV Approximations of Incompressible Navier-Stokes Equations.
Frontiers Appl. Math. Stat., 2022

Generalized Quadratic-Embeddings for Nonlinear Dynamics using Deep Learning.
CoRR, 2022

Riccati-feedback Control of a Two-dimensional Two-phase Stefan Problem.
CoRR, 2022

Neural ODEs with Irregular and Noisy Data.
CoRR, 2022

Krylov techniques for low-rank ADI.
CoRR, 2022

The Hamiltonian Extended Krylov Subspace Method.
CoRR, 2022

Robust output-feedback stabilization for incompressible flows using low-dimensional ℋ<sub>∞ </sub>-controllers.
Comput. Optim. Appl., 2022

Compact thermo-mechanical models for the fast simulation of machine tools with nonlinear component behavior.
Autom., 2022

Multivariate moment-matching for model order reduction of quadratic-bilinear systems using error bounds.
Adv. Model. Simul. Eng. Sci., 2022

2021
M-M.E.S.S. - The Matrix Equation Sparse Solver Library.
Dataset, April, 2021

SOLBT - Limited Balanced Truncation for Large-Scale Sparse Second-Order Systems.
Dataset, April, 2021

SOMDDPA - Second-Order Modally-Damped Dominant Pole Algorithm.
Dataset, April, 2021

Factorized solution of generalized stable Sylvester equations using many-core GPU accelerators.
J. Supercomput., 2021

Regularization of Poisson-Boltzmann Type Equations with Singular Source Terms Using the Range-Separated Tensor Format.
SIAM J. Sci. Comput., 2021

Interpolation-Based Model Order Reduction for Polynomial Systems.
SIAM J. Sci. Comput., 2021

A Rational Even-IRA Algorithm for the Solution of T-Even Polynomial Eigenvalue Problems.
SIAM J. Matrix Anal. Appl., 2021

A Training Set Subsampling Strategy for the Reduced Basis Method.
J. Sci. Comput., 2021

Implicit higher-order moment matching technique for model reduction of quadratic-bilinear systems.
J. Frankl. Inst., 2021

Introduction to the Special Issue related to the Power-Aware Computing Workshop 2019 - PACO 2019.
Int. J. High Perform. Comput. Appl., 2021

Model order reduction for bilinear control systems with inhomogeneous initial conditions.
Int. J. Control, 2021

Learning Low-Dimensional Quadratic-Embeddings of High-Fidelity Nonlinear Dynamics using Deep Learning.
CoRR, 2021

Fast A Posteriori State Error Estimation for Reliable Frequency Sweeping in Microwave Circuits via the Reduced-Basis Method.
CoRR, 2021

Palindromic linearization and numerical solution of nonsymmetric algebraic T-Riccati equations.
CoRR, 2021

Solution decomposition for the nonlinear Poisson-Boltzmann equation using the range-separated tensor format.
CoRR, 2021

Learning Dynamics from Noisy Measurements using Deep Learning with a Runge-Kutta Constraint.
CoRR, 2021

Learning reduced order models from data for hyperbolic PDEs.
CoRR, 2021

Next-Gen Gas Network Simulation.
CoRR, 2021

A Greedy Data Collection Scheme For Linear Dynamical Systems.
CoRR, 2021

Discovery of Nonlinear Dynamical Systems using a Runge-Kutta Inspired Dictionary-based Sparse Regression Approach.
CoRR, 2021

Data-Driven Model Order Reduction for Problems with Parameter-Dependent Jump-Discontinuities.
CoRR, 2021

Inf-Sup-Constant-Free State Error Estimator for Model Order Reduction of Parametric Systems in Electromagnetics.
CoRR, 2021

LQResNet: A Deep Neural Network Architecture for Learning Dynamic Processes.
CoRR, 2021

Reduced basis method for the nonlinear Poisson-Boltzmann equation regularized by the range-separated canonical tensor format.
CoRR, 2021

Structure-preserving interpolation for model reduction of parametric bilinear systems.
Autom., 2021

Galerkin trial spaces and Davison-Maki methods for the numerical solution of differential Riccati equations.
Appl. Math. Comput., 2021

Structure-preserving interpolation of bilinear control systems.
Adv. Comput. Math., 2021

2020
Collected MATLAB solvers for large-scale AREs.
Dataset, February, 2020

M-M.E.S.S. - The Matrix Equation Sparse Solver Library.
Dataset, February, 2020

Limited Balanced Truncation for Large-Scale Sparse Second-Order Systems.
Dataset, January, 2020

SOMDDPA - Second-Order Modally-Damped Dominant Pole Algorithm.
Dataset, January, 2020

New Gramians for Switched Linear Systems: Reachability, Observability, and Model Reduction.
IEEE Trans. Autom. Control., 2020

A Numerical Comparison of Different Solvers for Large-Scale, Continuous-Time Algebraic Riccati Equations and LQR Problems.
SIAM J. Sci. Comput., 2020

A Subspace Framework for H<sub>∞</sub>-Norm Minimization.
SIAM J. Matrix Anal. Appl., 2020

Identification of port-Hamiltonian systems from frequency response data.
Syst. Control. Lett., 2020

High performance solution of skew-symmetric eigenvalue problems with applications in solving the Bethe-Salpeter eigenvalue problem.
Parallel Comput., 2020

Efficient numerical methods for gas network modeling and simulation.
Networks Heterog. Media, 2020

Model Order Reduction for Gas and Energy Networks.
CoRR, 2020

Operator Inference and Physics-Informed Learning of Low-Dimensional Models for Incompressible Flows.
CoRR, 2020

Structure-Preserving Model Reduction for Dissipative Mechanical Systems.
CoRR, 2020

Machine Learning for Material Characterization with an Application for Predicting Mechanical Properties.
CoRR, 2020

Data-Driven Snapshot Calibration via Monotonic Feature Matching.
CoRR, 2020

Space and Chaos-Expansion Galerkin POD Low-order Discretization of PDEs for Uncertainty Quantification.
CoRR, 2020

A Low-rank Method for Parameter-dependent Fluid-structure Interaction Discretizations With Hyperelasticity.
CoRR, 2020

Data-Driven Learning of Reduced-order Dynamics for a Parametrized Shallow Water Equation.
CoRR, 2020

GR decompositions and their relations to Cholesky-like factorizations.
CoRR, 2020

A linear implicit Euler method for the finite element discretization of a controlled stochastic heat equation.
CoRR, 2020

A Non-Intrusive Method to Inferring Linear Port-Hamiltonian Realizations using Time-Domain Data.
CoRR, 2020

Convergence Analysis of Extended LOBPCG for Computing Extreme Eigenvalues.
CoRR, 2020

On Error Estimation for Reduced-order Modeling of Linear Non-parametric and Parametric Systems.
CoRR, 2020

Clustering-Based Model Order Reduction for Nonlinear Network Systems.
CoRR, 2020

Low-Rank and Total Variation Regularization and Its Application to Image Recovery.
CoRR, 2020

On the Solution of the Nonsymmetric T-Riccati Equation.
CoRR, 2020

Adaptive Interpolatory MOR by Learning the Error Estimator in the Parameter Domain.
CoRR, 2020

Matrix Equations, Sparse Solvers: M-M.E.S.S.-2.0.1 - Philosophy, Features and Application for (Parametric) Model.
CoRR, 2020

MORLAB - The Model Order Reduction LABoratory.
CoRR, 2020

Automatic Decoupling and Index-aware Model-Order Reduction for Nonlinear Differential-Algebraic Equations.
CoRR, 2020

Operator inference for non-intrusive model reduction of systems with non-polynomial nonlinear terms.
CoRR, 2020

Frequency- and Time-Limited Balanced Truncation for Large-Scale Second-Order Systems.
CoRR, 2020

Hankel-norm approximation of large-scale descriptor systems.
Adv. Comput. Math., 2020

Balanced truncation of linear time-invariant systems over finite-frequency ranges.
Adv. Comput. Math., 2020

MORLAB - A Model Order Reduction Framework in MATLAB and Octave.
Proceedings of the Mathematical Software - ICMS 2020, 2020

PD controllers to solve single-input, index-1 DAE based LQR problems.
Proceedings of the 18th European Control Conference, 2020

Equivalence of Riccati-based Robust Controller Design for Index-1 Descriptor Systems and Standard Plants with Feedthrough.
Proceedings of the 18th European Control Conference, 2020

2019
M-M.E.S.S. - The Matrix Equation Sparse Solver Library.
Dataset, August, 2019

MORLAB - Model Order Reduction LABoratory.
Dataset, August, 2019

Invariant Galerkin Ansatz Spaces and Davison-Maki Methods for the Numerical Solution of Differential Riccati Equations.
Dataset, April, 2019

Invariant Galerkin Ansatz Spaces and Davison-Maki Methods for the Numerical Solution of Differential Riccati Equations.
Dataset, April, 2019

Invariant Galerkin Ansatz Spaces and Davison-Maki Methods for the Numerical Solution of Differential Riccati Equations.
Dataset, April, 2019

Invariant Galerkin Ansatz Spaces and Davison-Maki Methods for the Numerical Solution of Differential Riccati Equations.
Dataset, April, 2019

Invariant Galerkin Ansatz Spaces and Davison-Maki Methods for the Numerical Solution of Differential Riccati Equations.
Dataset, April, 2019

Limited Balanced Truncation for Large-Scale Sparse Second-Order Systems.
Dataset, February, 2019

SOMDDPA - Second-Order Modally-Damped Dominant Pole Algorithm.
Dataset, February, 2019

Extended and Improved Criss-Cross Algorithms for Computing the Spectral Value Set Abscissa and Radius.
SIAM J. Matrix Anal. Appl., 2019

Computing the density of states for optical spectra of molecules by low-rank and QTT tensor approximation.
J. Comput. Phys., 2019

A new two-sided projection technique for model reduction of quadratic-bilinear descriptor systems.
Int. J. Comput. Math., 2019

Balanced Truncation for a Special Class of Bilinear Descriptor Systems.
IEEE Control. Syst. Lett., 2019

Adaptive Basis Construction and Improved Error Estimation for Parametric Nonlinear Dynamical Systems.
CoRR, 2019

Identification of Dominant Subspaces for Linear Structured Parametric Systems and Model Reduction.
CoRR, 2019

Invariant Galerkin Ansatz Spaces and Davison-Maki Methods for the Numerical Solution of Differential Riccati Equations.
CoRR, 2019

Data-Driven Identification of Rayleigh-Damped Second-Order Systems.
CoRR, 2019

An Adaptive Sampling Approach for the Reduced Basis Method.
CoRR, 2019

An Adaptive Pole-Matching Method for Interpolating Reduced-Order Models.
CoRR, 2019

A GPU-aware mixed-precision solver for low-rank algebraic Riccati equations.
Concurr. Comput. Pract. Exp., 2019

A Low-Rank Inexact Newton-Krylov Method for Stochastic Eigenvalue Problems.
Comput. Methods Appl. Math., 2019

Reduced-order modelling of parametric systems via interpolation of heterogeneous surrogates.
Adv. Model. Simul. Eng. Sci., 2019

Cross-Gramian-based dominant subspaces.
Adv. Comput. Math., 2019

A bilinear ℋ<sub>2</sub> model order reduction approach to linear parameter-varying systems.
Adv. Comput. Math., 2019

Model order reduction of bilinear time-delay systems.
Proceedings of the 17th European Control Conference, 2019

A Low-Rank Approach for Nonlinear Parameter-Dependent Fluid-Structure Interaction Problems.
Proceedings of the Numerical Mathematics and Advanced Applications ENUMATH 2019 - European Conference, Egmond aan Zee, The Netherlands, September 30, 2019

2018
MORLAB - Model Order Reduction LABoratory.
Dataset, December, 2018

C-M.E.S.S.-1.0.0 - The Matrix Equation Sparse Solver Library (C Version).
Dataset, July, 2018

Solution Formulas for Differential Sylvester and Lyapunov Equations.
Dataset, February, 2018

Solution Formulas for Differential Sylvester and Lyapunov Equation.
Dataset, February, 2018

Faster and More Accurate Computation of the ℋ<sub>∞</sub> Norm via Optimization.
SIAM J. Sci. Comput., 2018

Range-Separated Tensor Format for Many-Particle Modeling.
SIAM J. Sci. Comput., 2018

Space-Time Galerkin POD with Application in Optimal Control of Semilinear Partial Differential Equations.
SIAM J. Sci. Comput., 2018

H<sub>2</sub>-Quasi-Optimal Model Order Reduction for Quadratic-Bilinear Control Systems.
SIAM J. Matrix Anal. Appl., 2018

RADI: a low-rank ADI-type algorithm for large scale algebraic Riccati equations.
Numerische Mathematik, 2018

7th Workshop on Matrix Equations and Tensor Techniques.
Numer. Linear Algebra Appl., 2018

Model reduction of linear multi-agent systems by clustering with ℋ<sub>2</sub>⃗ and ℋ<sub>∞</sub>⃗ error bounds.
Math. Control. Signals Syst., 2018

Low-Rank Eigenvector Compression of Posterior Covariance Matrices for Linear Gaussian Inverse Problems.
SIAM/ASA J. Uncertain. Quantification, 2018

Numerical solution of the infinite-dimensional LQR problem and the associated Riccati differential equations.
J. Num. Math., 2018

New Gramians for Linear Switched Systems: Reachability, Observability, and Model Reduction.
CoRR, 2018

An index-aware parametric model order reduction method for parameterized quadratic differential-algebraic equations.
Appl. Math. Comput., 2018

On reduced input-output dynamic mode decomposition.
Adv. Comput. Math., 2018

Model reduction of complex dynamical systems - Editorial of the special issue corresponding to a workshop held at SDU Odense, Denmark, January 11-13, 2017.
Adv. Comput. Math., 2018

Computational Experience with a Modified Newton Solver for Discrete-Time Algebraic Riccati Equations.
Proceedings of the Informatics in Control, Automation and Robotics, 2018

Numerical Investigation of Newton's Method for Solving Discrete-time Algebraic Riccati Equations.
Proceedings of the 15th International Conference on Informatics in Control, 2018

Synchronization and Aggregation of Nonlinear Power Systems with Consideration of Bus Network Structures.
Proceedings of the 16th European Control Conference, 2018

Low-Order Control Design using a Reduced-Order Model with a Stability Constraint on the Full-Order Model.
Proceedings of the 57th IEEE Conference on Decision and Control, 2018

2017
MORLAB - Model Order Reduction LABoratory.
Dataset, September, 2017

Dual Pairs of Generalized Lyapunov Inequalities and Balanced Truncation of Stochastic Linear Systems.
IEEE Trans. Autom. Control., 2017

Adaptive Symmetric Interior Penalty Galerkin Method for Boundary Control Problems.
SIAM J. Numer. Anal., 2017

Large-Scale Computation of ℒ<sub>∞</sub>-Norms by a Greedy Subspace Method.
SIAM J. Matrix Anal. Appl., 2017

An H2-type error bound for balancing-related model order reduction of linear systems with Lévy noise.
Syst. Control. Lett., 2017

Structure preserving iterative methods for periodic projected Lyapunov equations and their application in model reduction of periodic descriptor systems.
Numer. Algorithms, 2017

Fast iterative solution of the Bethe-Salpeter eigenvalue problem using low-rank and QTT tensor approximation.
J. Comput. Phys., 2017

Krylov subspace-based model reduction for a class of bilinear descriptor systems.
J. Comput. Appl. Math., 2017

Implicit Volterra series interpolation for model reduction of bilinear systems.
J. Comput. Appl. Math., 2017

Computing the Stochastic H<sup>∞</sup>-Norm by a Netwon Iteration.
IEEE Control. Syst. Lett., 2017

Example Setups of Navier-Stokes Equations with Control and Observation: Spatial Discretization and Representation via Linear-quadratic Matrix Coefficients.
CoRR, 2017

Extending the Gauss-Huard method for the solution of Lyapunov matrix equations and matrix inversion.
Concurr. Comput. Pract. Exp., 2017

Accelerating optimization and uncertainty quantification of nonlinear SMB chromatography using reduced-order models.
Comput. Chem. Eng., 2017

POD-DEIM for efficient reduction of a dynamic 2D catalytic reactor model.
Comput. Chem. Eng., 2017

GPU-Accelerated and Storage-Efficient Implementation of the QR Decomposition.
Proceedings of the Parallel Computing is Everywhere, 2017

Solving Sparse Differential Riccati Equations on Hybrid CPU-GPU Platforms.
Proceedings of the Computational Science and Its Applications - ICCSA 2017, 2017

Nonlinear feedback stabilization of incompressible flows via updated Riccati-based gains.
Proceedings of the 56th IEEE Annual Conference on Decision and Control, 2017

2016
M-M.E.S.S.-1.0 - The Matrix Equation Sparse Solver Library.
Dataset, April, 2016

Algorithm 961: Fortran 77 Subroutines for the Solution of Skew-Hamiltonian/Hamiltonian Eigenproblems.
ACM Trans. Math. Softw., 2016

Frequency-Limited Balanced Truncation with Low-Rank Approximations.
SIAM J. Sci. Comput., 2016

Block-Diagonal Preconditioning for Optimal Control Problems Constrained by PDEs with Uncertain Inputs.
SIAM J. Matrix Anal. Appl., 2016

Multipoint interpolation of Volterra series and H<sub>2</sub>-model reduction for a family of bilinear descriptor systems.
Syst. Control. Lett., 2016

Computation of thermo-elastic deformations on machine tools a study of numerical methods.
Prod. Eng., 2016

Low-rank Newton-ADI methods for large nonsymmetric algebraic Riccati equations.
J. Frankl. Inst., 2016

Model Reduction of Linear Multi-Agent Systems by Clustering and Associated H<sub>2</sub>- and H<sub>∞</sub>-Error Bounds.
CoRR, 2016

Finite-Frequency Model Order Reduction of Linear Systems via Parameterized Frequency-dependent Balanced Truncation.
CoRR, 2016

Balanced Truncation of Linear Time-Invariant Systems over Finite-frequency Ranges.
CoRR, 2016

Balancing Energy and Performance in Dense Linear System Solvers for Hybrid ARM+GPU platforms.
CLEI Electron. J., 2016

Tuning the Blocksize for Dense Linear Algebra Factorization Routines with the Roofline Model.
Proceedings of the Algorithms and Architectures for Parallel Processing, 2016

Time-varying stabilization of a class of driftless systems satisfying second-order controllability conditions.
Proceedings of the 15th European Control Conference, 2016

Model Order Reduction for nanoelectronics coupled problems with many inputs.
Proceedings of the 2016 Design, Automation & Test in Europe Conference & Exhibition, 2016

2015
A linearized Navier-Stokes input output model.
Dataset, April, 2015

Model Order Reduction: Techniques and Tools.
Proceedings of the Encyclopedia of Systems and Control, 2015

Extending lyapack for the solution of band Lyapunov equations on hybrid CPU-GPU platforms.
J. Supercomput., 2015

An Efficient Output Error Estimation for Model Order Reduction of Parametrized Evolution Equations.
SIAM J. Sci. Comput., 2015

Two-Sided Projection Methods for Nonlinear Model Order Reduction.
SIAM J. Sci. Comput., 2015

Riccati-based Boundary Feedback Stabilization of Incompressible Navier-Stokes Flows.
SIAM J. Sci. Comput., 2015

Recycling BiCGSTAB with an Application to Parametric Model Order Reduction.
SIAM J. Sci. Comput., 2015

A Survey of Projection-Based Model Reduction Methods for Parametric Dynamical Systems.
SIAM Rev., 2015

Towards the identification of heat induction in chip removing processes via an optimal control approach.
Prod. Eng., 2015

Fast and Reliable Noise Estimation for Hyperspectral Subspace Identification.
IEEE Geosci. Remote. Sens. Lett., 2015

Low-Rank Solution of Unsteady Diffusion Equations with Stochastic Coefficients.
SIAM/ASA J. Uncertain. Quantification, 2015

Nonlinear model reduction of a continuous fluidized bed crystallizer.
J. Comput. Appl. Math., 2015

Adaptive discontinuous Galerkin methods for state constrained optimal control problems governed by convection diffusion equations.
Comput. Optim. Appl., 2015

Introduction to the special issue for EUCCO 2013.
Comput. Optim. Appl., 2015

A discontinuous Galerkin method for optimal control problems governed by a system of convection-diffusion PDEs with nonlinear reaction terms.
Comput. Math. Appl., 2015

Unleashing GPU acceleration for symmetric band linear algebra kernels and model reduction.
Clust. Comput., 2015

Model order reduction for a family of linear systems with applications in parametric and uncertain systems.
Appl. Math. Lett., 2015

Model order reduction of parameterized systems (MoRePaS) - Preface to the special issue of advances in computational mathematics.
Adv. Comput. Math., 2015

Parametric model order reduction with a small ℋ<sub>2</sub>-error using radial basis functions.
Adv. Comput. Math., 2015

Revisiting the Gauss-Huard Algorithm for the Solution of Linear Systems on Graphics Accelerators.
Proceedings of the Parallel Processing and Applied Mathematics, 2015

A Parallel Multi-threaded Solver for Symmetric Positive Definite Bordered-Band Linear Systems.
Proceedings of the Parallel Processing and Applied Mathematics, 2015

Exploring the Offload Execution Model in the Intel Xeon Phi via Matrix Inversion.
Proceedings of the Parallel Computing: On the Road to Exascale, 2015

Pitfalls When Solving Eigenproblems - With Applications in Control Engineering.
Proceedings of the ICINCO 2015, 2015

Model reduction of quadratic-bilinear descriptor systems via Carleman bilinearization.
Proceedings of the 14th European Control Conference, 2015

Output Error Estimates in Reduced Basis Methods for Time-Harmonic Maxwell's Equations.
Proceedings of the Numerical Mathematics and Advanced Applications - ENUMATH 2015, 2015

Solving dense linear systems with hybrid ARM+GPU platforms.
Proceedings of the 2015 Latin American Computing Conference, 2015

Efficient model order reduction for multi-agent systems using QR decomposition-based clustering.
Proceedings of the 54th IEEE Conference on Decision and Control, 2015

2014
Numerical Solution of Projected Algebraic Riccati Equations.
SIAM J. Numer. Anal., 2014

On optimality of approximate low rank solutions of large-scale matrix equations.
Syst. Control. Lett., 2014

On the squared Smith method for large-scale Stein equations.
Numer. Linear Algebra Appl., 2014

Low-rank iterative methods for periodic projected Lyapunov equations and their application in model reduction of periodic descriptor systems.
Numer. Algorithms, 2014

A factored variant of the Newton iteration for the solution of algebraic Riccati equations via the matrix sign function.
Numer. Algorithms, 2014

A structured pseudospectral method for H<sub>∞</sub>-norm computation of large-scale descriptor systems.
Math. Control. Signals Syst., 2014

A non-conforming composite quadrilateral finite element pair for feedback stabilization of the Stokes equations.
J. Num. Math., 2014

Fast solution of Cahn-Hilliard variational inequalities using implicit time discretization and finite elements.
J. Comput. Phys., 2014

Computing real low-rank solutions of Sylvester equations by the factored ADI method.
Comput. Math. Appl., 2014

Trading Off Performance for Energy in Linear Algebra Operations with Applications in Control Theory.
CLEI Electron. J., 2014

Using surrogate models for efficient optimization of simulated moving bed chromatography.
Comput. Chem. Eng., 2014

Model Order Reduction for Systems with Moving Loads.
Autom., 2014

Numerical Investigation of Newton's Method for Solving Continuous-time Algebraic Riccati Equations.
Proceedings of the ICINCO 2014 - Proceedings of the 11th International Conference on Informatics in Control, Automation and Robotics, Volume 1, Vienna, Austria, 1, 2014

Accelerating Band Linear Algebra Operations on GPUs with Application in Model Reduction.
Proceedings of the Computational Science and Its Applications - ICCSA 2014 - 14th International Conference, Guimarães, Portugal, June 30, 2014

Interpolatory model reduction techniques for linear second-order descriptor systems.
Proceedings of the 13th European Control Conference, 2014

Accelerating the general band matrix multiplication using graphics processors.
Proceedings of the XL Latin American Computing Conference, 2014

2013
Rosenbrock Methods for Solving Riccati Differential Equations.
IEEE Trans. Autom. Control., 2013

Efficient Solution of Large-Scale Saddle Point Systems Arising in Riccati-Based Boundary Feedback Stabilization of Incompressible Stokes Flow.
SIAM J. Sci. Comput., 2013

Low rank methods for a class of generalized Lyapunov equations and related issues.
Numerische Mathematik, 2013

Optimal damping of selected eigenfrequencies using dimension reduction.
Numer. Linear Algebra Appl., 2013

The preconditioned inverse iteration for hierarchical matrices.
Numer. Linear Algebra Appl., 2013

Efficient handling of complex shift parameters in the low-rank Cholesky factor ADI method.
Numer. Algorithms, 2013

Matrix inversion on CPU-GPU platforms with applications in control theory.
Concurr. Comput. Pract. Exp., 2013

Computing the eigenvalues of symmetric (H<sup>2</sup>) -matrices by slicing the spectrum.
Comput. Vis. Sci., 2013

Discontinuous Galerkin finite element methods with shock-capturing for nonlinear convection dominated models.
Comput. Chem. Eng., 2013

Solving Matrix Equations on Multi-Core and Many-Core Architectures.
Algorithms, 2013

Fast Approximate Solution of the Non-Symmetric Generalized Eigenvalue Problem on Multicore Architectures.
Proceedings of the Parallel Computing: Accelerating Computational Science and Engineering (CSE), 2013

Exploiting Data- and Task-Parallelism in the Solution of Riccati Equations on Multicore Servers and GPUs.
Proceedings of the Parallel Computing: Accelerating Computational Science and Engineering (CSE), 2013

Efficient Solvers for Large-Scale Saddle Point Systems Arising in Feedback Stabilization of Multi-field Flow Problems.
Proceedings of the System Modeling and Optimization, 2013

On the Impact of Optimization on the Time-Power-Energy Balance of Dense Linear Algebra Factorizations.
Proceedings of the Algorithms and Architectures for Parallel Processing, 2013

Distributed Optimal Control Problems Governed by Coupled Convection Dominated PDEs with Control Constraints.
Proceedings of the Numerical Mathematics and Advanced Applications - ENUMATH 2013, 2013

Reduced-Order Modeling and ROM-Based Optimization of Batch Chromatography.
Proceedings of the Numerical Mathematics and Advanced Applications - ENUMATH 2013, 2013

2012
L<sub>∞</sub>-Norm Computation for Continuous-Time Descriptor Systems Using Structured Matrix Pencils.
IEEE Trans. Autom. Control., 2012

Computing All or Some Eigenvalues of Symmetric <i>H</i>-Matrices.
SIAM J. Sci. Comput., 2012

Interpolation-Based <i>H</i><sub>2</sub>-Model Reduction of Bilinear Control Systems.
SIAM J. Matrix Anal. Appl., 2012

Computation of a compact state space model for an adaptive spindle head configuration with piezo actuators using balanced truncation.
Prod. Eng., 2012

Robust and Efficient Algorithms for L<sub>∞ </sub>-Norm Computation for Descriptor Systems.
Proceedings of the 7th IFAC Symposium on Robust Control Design, 2012

High Performance Implementations of the BST Method on Hybrid CPU-GPU Platforms.
Proceedings of the 10th IEEE International Symposium on Parallel and Distributed Processing with Applications, 2012

Unleashing CPU-GPU Acceleration for Control Theory Applications.
Proceedings of the Euro-Par 2012: Parallel Processing Workshops, 2012

Numerical computation of structured complex stability radii of large-scale matrices and pencils.
Proceedings of the 51th IEEE Conference on Decision and Control, 2012

New SLICOT routines based on structured eigensolvers.
Proceedings of the IEEE International Conference on Control Applications, 2012

Stabilization of Incompressible Flow Problems by Riccati-based Feedback.
Proceedings of the Constrained Optimization and Optimal Control for Partial Differential Equations, 2012

2011
Interpolatory Projection Methods for Parameterized Model Reduction.
SIAM J. Sci. Comput., 2011

Lyapunov Equations, Energy Functionals, and Model Order Reduction of Bilinear and Stochastic Systems.
SIAM J. Control. Optim., 2011

A mixed-precision algorithm for the solution of Lyapunov equations on hybrid CPU-GPU platforms.
Parallel Comput., 2011

Generalised tangential interpolation for model reduction of discrete-time MIMO bilinear systems.
Int. J. Control, 2011

Robust formulas for optimal H<sub>∞</sub> controllers.
Autom., 2011

On the numerical solution of large-scale sparse discrete-time Riccati equations.
Adv. Comput. Math., 2011

Accelerating BST Methods for Model Reduction with Graphics Processors.
Proceedings of the Parallel Processing and Applied Mathematics, 2011

MPC/LQG for Infinite-Dimensional Systems Using Time-Invariant Linearizations.
Proceedings of the System Modeling and Optimization, 2011

High performance matrix inversion of SPD matrices on graphics processors.
Proceedings of the 2011 International Conference on High Performance Computing & Simulation, 2011

2010
On the QR decomposition of \fancyscript <i>H</i> -matrices.
Computing, 2010

Die SLICOT-Toolboxen für Matlab (The SLICOT Toolboxes for Matlab).
Autom., 2010

Accelerating Model Reduction of Large Linear Systems with Graphics Processors.
Proceedings of the Applied Parallel and Scientific Computing, 2010

2009
On the ADI method for Sylvester equations.
J. Comput. Appl. Math., 2009

Parallel solution of large-scale algebraic Bernoulli equations with the matrix sign function method.
Int. J. Comput. Sci. Eng., 2009

Modellreduktion für parametrisierte Systeme durch balanciertes Abschneiden und Interpolation (Model Reduction for Parametric Systems Using Balanced Truncation and Interpolation).
Autom., 2009

Using Hybrid CPU-GPU Platforms to Accelerate the Computation of the Matrix Sign Function.
Proceedings of the Euro-Par 2009, 2009

Parametric model order reduction accelerated by subspace recycling.
Proceedings of the 48th IEEE Conference on Decision and Control, 2009

2008
Gramian-Based Model Reduction for Data-Sparse Systems.
SIAM J. Sci. Comput., 2008

Solving linear-quadratic optimal control problems on parallel computers.
Optim. Methods Softw., 2008

Numerical solution of large-scale Lyapunov equations, Riccati equations, and linear-quadratic optimal control problems.
Numer. Linear Algebra Appl., 2008

Large-scale matrix equations of special type.
Numer. Linear Algebra Appl., 2008

Experimental evaluation of new SLICOT solvers for linear matrix equations based on the matrix sign function.
Proceedings of the IEEE International Conference on Computer-Aided Control Systems, 2008

2007
Efficient algorithms for generalized algebraic Bernoulli equations based on the matrix sign function.
Numer. Algorithms, 2007

On the Solution of the Rational Matrix Equation X=Q+LX-1LT.
EURASIP J. Adv. Signal Process., 2007

Stabilizing large-scale generalized systems on parallel computers using multithreading and message-passing.
Concurr. Comput. Pract. Exp., 2007

Strategies for Parallelizing the Solution of Rational Matrix Equations.
Proceedings of the Parallel Computing: Architectures, 2007

Parallel Implementation of LQG Balanced Truncation for Large-Scale Systems.
Proceedings of the Large-Scale Scientific Computing, 6th International Conference, 2007

Fast system identification and model reduction solvers.
Proceedings of the 9th IFAC Workshop on Adaptation and Learning in Control and Signal Processing, 2007

2006
Algorithm 854: Fortran 77 subroutines for computing the eigenvalues of Hamiltonian matrices II.
ACM Trans. Math. Softw., 2006

Partial realization of descriptor systems.
Syst. Control. Lett., 2006

An Arithmetic for Matrix Pencils: Theory and New Algorithms.
Numerische Mathematik, 2006

Solving Stable Sylvester Equations via Rational Iterative Schemes.
J. Sci. Comput., 2006

Factorized Solution of Lyapunov Equations Based on Hierarchical Matrix Arithmetic.
Computing, 2006

Numerische Methoden zur passivitätserhaltenden Modellreduktion (Numerical Methods for Passivity Preserving Model Reduction).
Autom., 2006

Parallel Solution of Large-Scale and Sparse Generalized Algebraic Riccati Equations.
Proceedings of the Euro-Par 2006, Parallel Processing, 12th International Euro-Par Conference, Dresden, Germany, August 28, 2006

2005
Partial stabilisation of large-scale discrete-time linear control systems.
Int. J. Comput. Sci. Eng., 2005

Parallel Order Reduction via Balanced Truncation for Optimal Cooling of Steel Profiles.
Proceedings of the Euro-Par 2005, Parallel Processing, 11th International Euro-Par Conference, Lisbon, Portugal, August 30, 2005

New Hamiltonian Eigensolvers with Applications in Control.
Proceedings of the 44th IEEE IEEE Conference on Decision and Control and 8th European Control Conference Control, 2005

Parallel Algorithms for Balanced Truncation of Large-Scale Unstable Systems.
Proceedings of the 44th IEEE IEEE Conference on Decision and Control and 8th European Control Conference Control, 2005

2004
Parallel Model Reduction of Large Linear Descriptor Systems via Balanced Truncation.
Proceedings of the High Performance Computing for Computational Science, 2004

Computing Passive Reduced-Order Models for Circuit Simulation.
Proceedings of the 2004 International Conference on Parallel Computing in Electrical Engineering (PARELEC 2004), 2004

Parallel Algorithms for Balanced Truncation Model Reduction of Sparse Systems.
Proceedings of the Applied Parallel Computing, 2004

Computing optimal Hankel norm approximations of large-scale systems.
Proceedings of the 43rd IEEE Conference on Decision and Control, 2004

2003
State-space truncation methods for parallel model reduction of large-scale systems.
Parallel Comput., 2003

The Kleinman Iteration for Nonstabilizable Systems.
Math. Control. Signals Syst., 2003

Parallel algorithms for model reduction of discrete-time systems.
Int. J. Syst. Sci., 2003

Structure preservation: a challenge in computational control.
Future Gener. Comput. Syst., 2003

Parallel Model Reduction of Large-Scale Unstable Systems.
Proceedings of the Parallel Computing: Software Technology, 2003

Remote Model Reduction of Very Large Linear Systems.
Proceedings of the 17th International Parallel and Distributed Processing Symposium (IPDPS 2003), 2003

Solving linear matrix equations with SLICOT.
Proceedings of the 7th European Control Conference, 2003

A structure-preserving method for generalized algebraic Riccati equations based on pencil arithmetic.
Proceedings of the 7th European Control Conference, 2003

2002
Numerical Computation of Deflating Subspaces of Skew-Hamiltonian/Hamiltonian Pencils.
SIAM J. Matrix Anal. Appl., 2002

Numerical solution of discrete stable linear matrix equations on multicomputers.
Parallel Algorithms Appl., 2002

Parallel Algorithms for LQ Optimal Control of Discrete-Time Periodic Linear Systems.
J. Parallel Distributed Comput., 2002

Remote Parallel Model Reduction of Linear Time-Invariant Systems Made Easy.
Proceedings of the High Performance Computing for Computational Science, 2002

Enhanced Services for Remote Model Reduction of Large-Scale Dense Linear Systems.
Proceedings of the Applied Parallel Computing Advanced Scientific Computing, 2002

Solving Large Sparse Lyapunov Equations on Parallel Computers (Research Note).
Proceedings of the Euro-Par 2002, 2002

2001
Symplectic Balancing of Hamiltonian Matrices.
SIAM J. Sci. Comput., 2001

An Implicitly Restarted Symplectic Lanczos Method for the Symplectic Eigenvalue Problem.
SIAM J. Matrix Anal. Appl., 2001

Evaluating products of matrix pencils and collapsing matrix products.
Numer. Linear Algebra Appl., 2001

Partial Stabilization of Large-Scale Discrete-Time Linear Control Systems.
Proceedings of the 30th International Workshops on Parallel Processing (ICPP 2001 Workshops), 2001

2000
Algorithm 800: Fortran 77 subroutines for computing the eigenvalues of Hamiltonian matrices. I: the square-reduced method.
ACM Trans. Math. Softw., 2000

Parallel Partial Stabilizing Algorithms for Large Linear Control Systems.
J. Supercomput., 2000

Solving algebraic Riccati equations on parallel computers using Newton's method with exact line search.
Parallel Comput., 2000

Solving Discrete-Time Periodic Riccati Equations on a Cluster (Research Note).
Proceedings of the Euro-Par 2000, Parallel Processing, 6th International Euro-Par Conference, Munich, Germany, August 29, 2000

1999
Parallel Distributed Solvers for Large Stable Generalized Lyapunov Equations.
Parallel Process. Lett., 1999

Solving stable generalized Lyapunov equations with the matrix sign function.
Numer. Algorithms, 1999

Solving Stable Stein Equations on Distributed Memory Computers.
Proceedings of the Euro-Par '99 Parallel Processing, 5th International Euro-Par Conference, Toulouse, France, August 31, 1999

1998
An exact line search method for solving generalized continuous-time algebraic Riccati equations.
IEEE Trans. Autom. Control., 1998

A Portable Subroutine Library for Solving Linear Control Problems on Distributed Memory Computers.
Proceedings of the Workshop on Wide Area Networks and High Performance Computing, 1998


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