Volker Mehrmann

According to our database, Volker Mehrmann authored at least 117 papers between 1992 and 2024.

Collaborative distances:

• Dijkstra number of four.
• Erdős number of three.

2024

On discrete-time dissipative port-Hamiltonian (descriptor) systems.

Karim Cherifi, Hannes Gernandt, Dorothea Hinsen, Volker Mehrmann

Math. Control. Signals Syst., September, 2024

Eigenstructure Perturbations for a Class of Hamiltonian Matrices and Solutions of Related Riccati Inequalities.

Volker Mehrmann, Hongguo Xu

SIAM J. Matrix Anal. Appl., 2024

Minimization of the Pseudospectral Abscissa of a Quadratic Matrix Polynomial.

Volker Mehrmann, Emre Mengi

CoRR, 2024

Port-Hamiltonian Realizations of Positive Real Descriptor Systems.

Delin Chu, Volker Mehrmann

CoRR, 2024

Stabilization of linear Port-Hamiltonian Descriptor Systems via Output Feedback.

Delin Chu, Volker Mehrmann

CoRR, 2024

On the discrete equivalence of Lagrangian, Hamiltonian and mixed finite element formulations for linear wave phenomena.

Andrea Brugnoli, Volker Mehrmann

CoRR, 2024

2023

Optimization-based model order reduction of port-Hamiltonian descriptor systems.

Paul Schwerdtner, Tim Moser, Volker Mehrmann, Matthias Voigt

Syst. Control. Lett., December, 2023

Differential-algebraic systems with dissipative Hamiltonian structure.

Volker Mehrmann, Arjan van der Schaft

Math. Control. Signals Syst., September, 2023

Linear port-Hamiltonian DAE systems revisited.

Arjan van der Schaft, Volker Mehrmann

Syst. Control. Lett., July, 2023

Control of port-Hamiltonian differential-algebraic systems and applications.

Volker Mehrmann, Benjamin Unger

Acta Numer., May, 2023

2022

On Non-Hermitian Positive (Semi)Definite Linear Algebraic Systems Arising from Dissipative Hamiltonian DAEs.

Candan Güdücü, Jörg Liesen, Volker Mehrmann, Daniel B. Szyld

SIAM J. Sci. Comput., August, 2022

Matrix Pencils with Coefficients that have Positive Semidefinite Hermitian Parts.

Christian Mehl, Volker Mehrmann, Michal Wojtylak

SIAM J. Matrix Anal. Appl., 2022

Low-Rank Perturbation of Regular Matrix Pencils with Symmetry Structures.

Fernando de Terán, Christian Mehl, Volker Mehrmann

Found. Comput. Math., 2022

A \texttt{Matlab} Toolbox for the Regularization of Descriptor Systems Arising from Generalized Realization Procedures.

Andreas Binder, Volker Mehrmann, Agnieszka Miedlar, P. Schulze

CoRR, 2022

Simulations in a Digital Twin of an Electrical Machine.

Karim Cherifi, Volker Mehrmann, Philipp Schulze

CoRR, 2022

Structure-Preserving Model Order Reduction for Index Two Port-Hamiltonian Descriptor Systems.

Tim Moser, Paul Schwerdtner, Volker Mehrmann, Matthias Voigt

CoRR, 2022

Structure-Preserving Model Order Reduction for Index One Port-Hamiltonian Descriptor Systems.

Paul Schwerdtner, Tim Moser, Volker Mehrmann, Matthias Voigt

CoRR, 2022

Discretization of inherent ODEs and the geometric integration of DAEs with symmetries.

Peter Kunkel, Volker Mehrmann

CoRR, 2022

Port-Hamiltonian Realizations of Linear Time Invariant Systems.

Christopher Beattie, Volker Mehrmann, Hongguo Xu

CoRR, 2022

Local and global canonical forms for differential-algebraic equations with symmetries.

Peter Kunkel, Volker Mehrmann

CoRR, 2022

A Lagrange subspace approach to dissipation inequalities.

Arjan van der Schaft, Volker Mehrmann

Proceedings of the 61st IEEE Conference on Decision and Control, 2022

2021

Structured Backward Errors for Eigenvalues of Linear Port-Hamiltonian Descriptor Systems.

Volker Mehrmann, Paul Van Dooren

SIAM J. Matrix Anal. Appl., 2021

The Multiplex Decomposition: An Analytic Framework for Multilayer Dynamical Networks.

Rico Berner, Volker Mehrmann, Eckehard Schöll, Serhiy Yanchuk

SIAM J. Appl. Dyn. Syst., 2021

Error Analysis of a Model Order Reduction Framework for Financial Risk Analysis.

Andreas Binder, Onkar Jadhav, Volker Mehrmann

CoRR, 2021

Computation of the nearest structured matrix triplet with common null space.

Nicola Guglielmi, Volker Mehrmann

CoRR, 2021

Matrix pencils with coefficients that have positive semidefinite Hermitian part.

Christian Mehl, Volker Mehrmann, Michal Wojtylak

CoRR, 2021

2020

Optimal Robustness of Port-Hamiltonian Systems.

Volker Mehrmann, Paul Van Dooren

SIAM J. Matrix Anal. Appl., 2020

Optimal robustness of passive discrete-time systems.

Volker Mehrmann, Paul Van Dooren

IMA J. Math. Control. Inf., 2020

A two-level iterative scheme for general sparse linear systems based on approximate skew-symmetrizers.

Murat Manguoglu, Volker Mehrmann

CoRR, 2020

Stability Assessment of Stochastic Differential-Algebraic Systems via Lyapunov Exponents with an Application to Power Systems.

Andrés González-Zumba, Pedro Fernández de Córdoba, Juan Carlos Cortés, Volker Mehrmann

CoRR, 2020

Model order reduction for parametric high dimensional models in the analysis of financial risk.

Andreas Binder, Onkar Jadhav, Volker Mehrmann

CoRR, 2020

Distance problems for dissipative Hamiltonian systems and related matrix polynomials.

Christian Mehl, Volker Mehrmann, Michal Wojtylak

CoRR, 2020

Approximation of stability radii for large-scale dissipative Hamiltonian systems.

Nicat Aliyev, Volker Mehrmann, Emre Mengi

Adv. Comput. Math., 2020

2019

A Robust Iterative Scheme for Symmetric Indefinite Systems.

Murat Manguoglu, Volker Mehrmann

SIAM J. Sci. Comput., 2019

Structure-preserving Interpolatory Model Reduction for Port-Hamiltonian Differential-Algebraic Systems.

Christopher A. Beattie, Serkan Gugercin, Volker Mehrmann

CoRR, 2019

Robust port-Hamiltonian representations of passive systems.

Christopher A. Beattie, Volker Mehrmann, Paul Van Dooren

Autom., 2019

Structure-preserving discretization for port-Hamiltonian descriptor systems.

Volker Mehrmann, Riccardo Morandin

Proceedings of the 58th IEEE Conference on Decision and Control, 2019

2018

The Shifted Proper Orthogonal Decomposition: A Mode Decomposition for Multiple Transport Phenomena.

Julius Reiss, Philipp Schulze, Jörn Sesterhenn, Volker Mehrmann

SIAM J. Sci. Comput., 2018

On Structure-Preserving Model Reduction for Damped Wave Propagation in Transport Networks.

Herbert Egger, Thomas Kugler, Björn Liljegren-Sailer, Nicole Marheineke, Volker Mehrmann

SIAM J. Sci. Comput., 2018

Linear Algebra Properties of Dissipative Hamiltonian Descriptor Systems.

Christian Mehl, Volker Mehrmann, Michal Wojtylak

SIAM J. Matrix Anal. Appl., 2018

Computing the nearest stable matrix pairs.

Nicolas Gillis, Volker Mehrmann, Punit Sharma

Numer. Linear Algebra Appl., 2018

Optimal model switching for gas flow in pipe networks.

Fabian Rüffler, Volker Mehrmann, Falk M. Hante

Networks Heterog. Media, 2018

Linear port-Hamiltonian descriptor systems.

Christopher Beattie, Volker Mehrmann, Hongguo Xu, Hans Zwart

Math. Control. Signals Syst., 2018

2017

Parameter-Dependent Rank-One Perturbations of Singular Hermitian Or Symmetric Pencils.

Christian Mehl, Volker Mehrmann, Michal Wojtylak

SIAM J. Matrix Anal. Appl., 2017

On the Nearest Singular Matrix Pencil.

Nicola Guglielmi, Christian Lubich, Volker Mehrmann

SIAM J. Matrix Anal. Appl., 2017

Model reduction for systems with inhomogeneous initial conditions.

Christopher Beattie, Serkan Gugercin, Volker Mehrmann

Syst. Control. Lett., 2017

2016

A Newton-Type Method with Nonequivalence Deflation for Nonlinear Eigenvalue Problems Arising in Photonic Crystal Modeling.

Tsung-Ming Huang, Wen-Wei Lin, Volker Mehrmann

SIAM J. Sci. Comput., 2016

Stability Radii for Linear Hamiltonian Systems with Dissipation Under Structure-Preserving Perturbations.

Christian Mehl, Volker Mehrmann, Punit Sharma

SIAM J. Matrix Anal. Appl., 2016

An inverse-free ADI algorithm for computing Lagrangian invariant subspaces.

Volker Mehrmann, Federico Poloni

Numer. Linear Algebra Appl., 2016

Model Reduction for Large-scale Dynamical Systems with Inhomogeneous Initial Conditions.

Christopher A. Beattie, Serkan Gugercin, Volker Mehrmann

CoRR, 2016

2015

Basic Numerical Methods and Software for Computer-aided Control Systems Design.

Volker Mehrmann, Paul Van Dooren

Proceedings of the Encyclopedia of Systems and Control, 2015

Stability Analysis of Implicit Difference Equations Under Restricted Perturbations.

Volker Mehrmann, Do Duc Thuan

SIAM J. Matrix Anal. Appl., 2015

2014

An adaptive finite element method with asymptotic saturation for eigenvalue problems.

Carsten Carstensen, Joscha Gedicke, Volker Mehrmann, Agnieszka Miedlar

Numerische Mathematik, 2014

Self-adjoint differential-algebraic equations.

Peter Kunkel, Volker Mehrmann, Lena Scholz

Math. Control. Signals Syst., 2014

Efficient integration of strangeness-free non-stiff differential-algebraic equations by half-explicit methods.

Vu Hoang Linh, Volker Mehrmann

J. Comput. Appl. Math., 2014

Computation of state reachable points of descriptor systems.

Subashish Datta, Volker Mehrmann

Proceedings of the 53rd IEEE Conference on Decision and Control, 2014

2013

NLEVP: A Collection of Nonlinear Eigenvalue Problems.

Timo Betcke, Nicholas J. Higham, Volker Mehrmann, Christian Schröder, Françoise Tisseur

ACM Trans. Math. Softw., 2013

Stability and Robust Stability of Linear Time-Invariant Delay Differential-Algebraic Equations.

Nguyen Huu Du, Vu Hoang Linh, Volker Mehrmann, Do Duc Thuan

SIAM J. Matrix Anal. Appl., 2013

Numerical integration of positive linear differential-algebraic systems.

Ann-Kristin Baum, Volker Mehrmann

Numerische Mathematik, 2013

A generalized structured doubling algorithm for the numerical solution of linear quadratic optimal control problems.

Volker Mehrmann, Federico Poloni

Numer. Linear Algebra Appl., 2013

On best rank one approximation of tensors.

Shmuel Friedland, Volker Mehrmann, Renato Pajarola, Susanne K. Suter

Numer. Linear Algebra Appl., 2013

Operator Differential-Algebraic Equations Arising in Fluid Dynamics.

Etienne Emmrich, Volker Mehrmann

Comput. Methods Appl. Math., 2013

Using permuted graph bases in <i>H</i>_<i>∞</i>H∞ control.

Volker Mehrmann, Federico Poloni

Autom., 2013

2012

Doubling Algorithms with Permuted Lagrangian Graph Bases.

Volker Mehrmann, Federico Poloni

SIAM J. Matrix Anal. Appl., 2012

2011

Approximation of Spectral Intervals and Leading Directions for Differential-Algebraic Equation via Smooth Singular Value Decompositions.

Vu Hoang Linh, Volker Mehrmann

SIAM J. Numer. Anal., 2011

Perturbation Theory for Hamiltonian Matrices and the Distance to Bounded-Realness.

Rafikul Alam, Shreemayee Bora, Michael Karow, Volker Mehrmann, Julio Moro

SIAM J. Matrix Anal. Appl., 2011

An adaptive homotopy approach for non-selfadjoint eigenvalue problems.

Carsten Carstensen, Joscha Gedicke, Volker Mehrmann, Agnieszka Miedlar

Numerische Mathematik, 2011

Adaptive computation of smallest eigenvalues of self-adjoint elliptic partial differential equations.

Volker Mehrmann, Agnieszka Miedlar

Numer. Linear Algebra Appl., 2011

Robust formulas for optimal H_∞ controllers.

Peter Benner, Ralph Byers, Philip Losse, Volker Mehrmann, Hongguo Xu

Autom., 2011

<i>QR</i> methods and error analysis for computing Lyapunov and Sacker-Sell spectral intervals for linear differential-algebraic equations.

Vu Hoang Linh, Volker Mehrmann, Erik S. Van Vleck

Adv. Comput. Math., 2011

2010

Singular-value-like decomposition for complex matrix triples.

Christian Mehl, Volker Mehrmann, Hongguo Xu

J. Comput. Appl. Math., 2010

2009

Numerical methods for palindromic eigenvalue problems: Computing the anti-triangular Schur form.

D. Steven Mackey, Niloufer Mackey, Christian Mehl, Volker Mehrmann

Numer. Linear Algebra Appl., 2009

2008

A New Methodology for Modeling, Analysis, Synthesis, and Simulation of Time-Optimal Train Traffic in Large Networks.

Yazdan Bavafa-Toosi, Christoph Blendinger, Volker Mehrmann, Andreas Steinbrecher, Roman Unger

IEEE Trans Autom. Sci. Eng., 2008

Explicit Solutions for a Riccati Equation from Transport Theory.

Volker Mehrmann, Hongguo Xu

SIAM J. Matrix Anal. Appl., 2008

The Modified Optimal <i>H</i>_infinity Control Problem for Descriptor Systems.

Philip Losse, Volker Mehrmann, Lisa Katrin Poppe, Timo Reis

SIAM J. Control. Optim., 2008

Controllability and Observability of Second Order Descriptor Systems.

Philip Losse, Volker Mehrmann

SIAM J. Control. Optim., 2008

Optimal control for unstructured nonlinear differential-algebraic equations of arbitrary index.

Peter Kunkel, Volker Mehrmann

Math. Control. Signals Syst., 2008

2007

A numerical method for computing the Hamiltonian Schur form.

Delin Chu, Xinmin Liu, Volker Mehrmann

Numerische Mathematik, 2007

2006

Structured Polynomial Eigenvalue Problems: Good Vibrations from Good Linearizations.

D. Steven Mackey, Niloufer Mackey, Christian Mehl, Volker Mehrmann

SIAM J. Matrix Anal. Appl., 2006

Vector Spaces of Linearizations for Matrix Polynomials.

D. Steven Mackey, Niloufer Mackey, Christian Mehl, Volker Mehrmann

SIAM J. Matrix Anal. Appl., 2006

Linear Perturbation Theory for Structured Matrix Pencils Arising in Control Theory.

Shreemayee Bora, Volker Mehrmann

SIAM J. Matrix Anal. Appl., 2006

Transformation of high order linear differential-algebraic systems to first order.

Volker Mehrmann, Chunchao Shi

Numer. Algorithms, 2006

Descriptor Systems: A General Mathematical Framework for Modelling, Simulation and Control (Deskriptorsysteme: Ein allgemeines mathematisches Konzept für Modellierung, Simulation und Regelung).

Volker Mehrmann, Tatjana Stykel

Autom., 2006

2005

Multiple Shooting for Unstructured Nonlinear Differential-Algebraic Equations of Arbitrary Index.

Peter Kunkel, Volker Mehrmann, Ronald Stöver

SIAM J. Numer. Anal., 2005

A Behavioral Approach to Time-Varying Linear Systems. Part 2: Descriptor Systems.

Achim Ilchmann, Volker Mehrmann

SIAM J. Control. Optim., 2005

A Behavioral Approach to Time-Varying Linear Systems. Part 1: General Theory.

Achim Ilchmann, Volker Mehrmann

SIAM J. Control. Optim., 2005

2004

Potter, Wielandt, and Drazin on the Matrix Equation AB = ωBA: New Answers to Old Questions.

Olga Holtz, Volker Mehrmann, Hans Schneider

Am. Math. Mon., 2004

Symmetric collocation for unstructured nonlinear differential-algebraic equations of arbitrary index.

Peter Kunkel, Volker Mehrmann, Ronald Stöver

Numerische Mathematik, 2004

2003

Numerical Solution of Quadratic Eigenvalue Problems with Structure-Preserving Methods.

Tsung-Min Hwang, Wen-Wei Lin, Volker Mehrmann

SIAM J. Sci. Comput., 2003

A Note on the Symmetric Recursive Inverse Eigenvalue Problem.

Raphael Loewy, Volker Mehrmann

SIAM J. Matrix Anal. Appl., 2003

Structure preservation: a challenge in computational control.

Peter Benner, Daniel Kressner, Volker Mehrmann

Future Gener. Comput. Syst., 2003

2002

Existence, Uniqueness, and Parametrization of Lagrangian Invariant Subspaces.

Gerhard Freiling, Volker Mehrmann, Hongguo Xu

SIAM J. Matrix Anal. Appl., 2002

Algebraic Multilevel Methods and Sparse Approximate Inverses.

Matthias Bollhöfer, Volker Mehrmann

SIAM J. Matrix Anal. Appl., 2002

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

Peter Benner, Ralph Byers, Volker Mehrmann, Hongguo Xu

SIAM J. Matrix Anal. Appl., 2002

2001

Disturbance decoupling for linear time-invariant systems: a matrix pencil approach.

Delin Chu, Volker Mehrmann

IEEE Trans. Autom. Control., 2001

Structure-Preserving Methods for Computing Eigenpairs of Large Sparse Skew-Hamiltonian/Hamiltonian Pencils.

Volker Mehrmann, David Watkins

SIAM J. Sci. Comput., 2001

Perturbation Analysis of Hamiltonian Schur and Block-Schur Forms.

Mihail Konstantinov, Volker Mehrmann, Petko Hr. Petkov

SIAM J. Matrix Anal. Appl., 2001

Analysis and Numerical Solution of Control Problems in Descriptor Form.

Peter Kunkel, Volker Mehrmann, Werner Rath

Math. Control. Signals Syst., 2001

Analysis of Over- and Underdetermined Nonlinear Differential-Algebraic Systems with Application to Nonlinear Control Problems.

Peter Kunkel, Volker Mehrmann

Math. Control. Signals Syst., 2001

2000

The Recursive Inverse Eigenvalue Problem.

Marina Arav, Daniel Hershkowitz, Volker Mehrmann, Hans Schneider

SIAM J. Matrix Anal. Appl., 2000

Disturbance Decoupling for Descriptor Systems by State Feedback.

Delin Chu, Volker Mehrmann

SIAM J. Control. Optim., 2000

1999

The Anderson Model of Localization: A Challenge for Modern Eigenvalue Methods.

Ulrich Elsner, Volker Mehrmann, Frank Milde, Rudolf A. Römer, Michael Schreiber

SIAM J. Sci. Comput., 1999

1998

Choosing Poles So That the Single-Input Pole Placement Problem Is Well Conditioned.

Volker Mehrmann, Hongguo Xu

SIAM J. Matrix Anal. Appl., July, 1998

Dampening controllers via a Riccati equation approach.

J. J. Hench, Chunyang He, Vladimír Kucera, Volker Mehrmann

IEEE Trans. Autom. Control., 1998

On damped algebraic Riccati equations.

Chunyang He, J. J. Hench, Volker Mehrmann

IEEE Trans. Autom. Control., 1998

1997

The Matrix Sign Function Method and the Computation of Invariant Subspaces.

Ralph Byers, Chunyang He, Volker Mehrmann

SIAM J. Matrix Anal. Appl., July, 1997

A New Software Package for Linear Differential-Algebraic Equations.

Peter Kunkel, Volker Mehrmann, Werner Rath, Jörg Weickert

SIAM J. Sci. Comput., 1997

The linear quadratic optimal control problem for linear descriptor systems with variable coefficients.

Peter Kunkel, Volker Mehrmann

Math. Control. Signals Syst., 1997

1996

Algebraic Riccati Equations (Peter Lancaster and Leiba Rodman).

Volker Mehrmann

SIAM Rev., 1996

Generalized Inverses of Differential-Algebraic Operators.

Peter Kunkel, Volker Mehrmann

SIAM J. Matrix Anal. Appl., 1996

1995

Minimization of the norm, the norm of the inverse and the condition number of a matrix by completion.

Ludwig Elsner, Chunyang He, Volker Mehrmann

Numer. Linear Algebra Appl., 1995

1994

Regularization of descriptor systems by output feedback.

Angelika Bunse-Gerstner, Volker Mehrmann, Nancy K. Nichols

IEEE Trans. Autom. Control., 1994

1993

Numerical Methods for Simultaneous Diagonalization.

Angelika Bunse-Gerstner, Ralph Byers, Volker Mehrmann

SIAM J. Matrix Anal. Appl., October, 1993

Sign Controllability of a Nonnegative Matrix and a Positive Vector.

Charles R. Johnson, Volker Mehrmann, D. Dale Olesky

SIAM J. Matrix Anal. Appl., April, 1993

Divide and Conquer Methods for Block Tridiagonal Systems.

Volker Mehrmann

Parallel Comput., 1993

1992

Regularization of Descriptor Systems by Derivative and Proportional State Feedback.

Angelika Bunse-Gerstner, Volker Mehrmann, Nancy K. Nichols

SIAM J. Matrix Anal. Appl., 1992

A Chart of Numerical Methods for Structured Eigenvalue Problems.

Angelika Bunse-Gerstner, Ralph Byers, Volker Mehrmann

SIAM J. Matrix Anal. Appl., 1992