Volker Mehrmann

ORCID

Publication Activity (10 Years)

Years Active: 1992-2024
Publications (10 Years): 54

Top Venues

CoRR

SIAM J. Matrix Anal. Appl.

SIAM J. Sci. Comput.

CDC

Publications

Andrea Brugnoli, Volker Mehrmann
On the discrete equivalence of Lagrangian, Hamiltonian and mixed finite element formulations for linear wave phenomena. CoRR (2024)
Volker Mehrmann, Hongguo Xu
Eigenstructure Perturbations for a Class of Hamiltonian Matrices and Solutions of Related Riccati Inequalities. SIAM J. Matrix Anal. Appl. 45 (3) (2024)
Delin Chu, Volker Mehrmann
Stabilization of linear Port-Hamiltonian Descriptor Systems via Output Feedback. CoRR (2024)
Volker Mehrmann, Hongguo Xu
Eigenstructure perturbations for a class of Hamiltonian matrices and solutions of related Riccati inequalities. CoRR (2023)
Volker Mehrmann, Arjan van der Schaft
Differential-algebraic systems with dissipative Hamiltonian structure. Math. Control. Signals Syst. 35 (3) (2023)
Volker Mehrmann, Benjamin Unger
Control of port-Hamiltonian differential-algebraic systems and applications. Acta Numer. 32 (2023)
Paul Schwerdtner, Tim Moser, Volker Mehrmann, Matthias Voigt
Optimization-based model order reduction of port-Hamiltonian descriptor systems. Syst. Control. Lett. 182 (2023)
Arjan van der Schaft, Volker Mehrmann
Linear port-Hamiltonian DAE systems revisited. Syst. Control. Lett. 177 (2023)
Arjan van der Schaft, Volker Mehrmann
Linear port-Hamiltonian DAE systems revisited. CoRR (2022)
Tim Moser, Paul Schwerdtner, Volker Mehrmann, Matthias Voigt
Structure-Preserving Model Order Reduction for Index Two Port-Hamiltonian Descriptor Systems. CoRR (2022)
Fernando de Terán, Christian Mehl, Volker Mehrmann
Low-Rank Perturbation of Regular Matrix Pencils with Symmetry Structures. Found. Comput. Math. 22 (1) (2022)
Andreas Binder, Volker Mehrmann, Agnieszka Miedlar, P. Schulze
A \texttt{Matlab} Toolbox for the Regularization of Descriptor Systems Arising from Generalized Realization Procedures. CoRR (2022)
Karim Cherifi, Volker Mehrmann, Philipp Schulze
Simulations in a Digital Twin of an Electrical Machine. CoRR (2022)
Peter Kunkel, Volker Mehrmann
Discretization of inherent ODEs and the geometric integration of DAEs with symmetries. CoRR (2022)
Christopher Beattie, Volker Mehrmann, Hongguo Xu
Port-Hamiltonian Realizations of Linear Time Invariant Systems. CoRR (2022)
Peter Kunkel, Volker Mehrmann
Local and global canonical forms for differential-algebraic equations with symmetries. CoRR (2022)
Volker Mehrmann, Benjamin Unger
Control of port-Hamiltonian differential-algebraic systems and applications. CoRR (2022)
Candan Güdücü, Jörg Liesen, Volker Mehrmann, Daniel B. Szyld
On Non-Hermitian Positive (Semi)Definite Linear Algebraic Systems Arising from Dissipative Hamiltonian DAEs. SIAM J. Sci. Comput. 44 (4) (2022)
Christian Mehl, Volker Mehrmann, Michal Wojtylak
Matrix Pencils with Coefficients that have Positive Semidefinite Hermitian Parts. SIAM J. Matrix Anal. Appl. 43 (3) (2022)
Paul Schwerdtner, Tim Moser, Volker Mehrmann, Matthias Voigt
Structure-Preserving Model Order Reduction for Index One Port-Hamiltonian Descriptor Systems. CoRR (2022)
Arjan van der Schaft, Volker Mehrmann
A Lagrange subspace approach to dissipation inequalities. CDC (2022)
Volker Mehrmann, Paul Van Dooren
Structured Backward Errors for Eigenvalues of Linear Port-Hamiltonian Descriptor Systems. SIAM J. Matrix Anal. Appl. 42 (1) (2021)
Nicola Guglielmi, Volker Mehrmann
Computation of the nearest structured matrix triplet with common null space. CoRR (2021)
Christian Mehl, Volker Mehrmann, Michal Wojtylak
Matrix pencils with coefficients that have positive semidefinite Hermitian part. CoRR (2021)
Andreas Binder, Onkar Jadhav, Volker Mehrmann
Error Analysis of a Model Order Reduction Framework for Financial Risk Analysis. CoRR (2021)
Rico Berner, Volker Mehrmann, Eckehard Schöll, Serhiy Yanchuk
The Multiplex Decomposition: An Analytic Framework for Multilayer Dynamical Networks. SIAM J. Appl. Dyn. Syst. 20 (4) (2021)
Candan Güdücü, Jörg Liesen, Volker Mehrmann, Daniel B. Szyld
On non-Hermitian positive (semi)definite linear algebraic systems arising from dissipative Hamiltonian DAEs. CoRR (2021)
Volker Mehrmann, Paul Van Dooren
Optimal Robustness of Port-Hamiltonian Systems. SIAM J. Matrix Anal. Appl. 41 (1) (2020)
Nicat Aliyev, Volker Mehrmann, Emre Mengi
Approximation of stability radii for large-scale dissipative Hamiltonian systems. Adv. Comput. Math. 46 (1) (2020)
Volker Mehrmann, Paul Van Dooren
Structured backward errors for eigenvalues of linear port-Hamiltonian descriptor systems. CoRR (2020)
Volker Mehrmann, Paul Van Dooren
Optimal robustness of passive discrete-time systems. IMA J. Math. Control. Inf. 37 (4) (2020)
Christian Mehl, Volker Mehrmann, Michal Wojtylak
Distance problems for dissipative Hamiltonian systems and related matrix polynomials. CoRR (2020)
Andreas Binder, Onkar Jadhav, Volker Mehrmann
Model order reduction for parametric high dimensional models in the analysis of financial risk. CoRR (2020)
Murat Manguoglu, Volker Mehrmann
A two-level iterative scheme for general sparse linear systems based on approximate skew-symmetrizers. CoRR (2020)
Andrés González-Zumba, Pedro Fernández de Córdoba, Juan Carlos Cortés, Volker Mehrmann
Stability Assessment of Stochastic Differential-Algebraic Systems via Lyapunov Exponents with an Application to Power Systems. CoRR (2020)
Volker Mehrmann, Riccardo Morandin
Structure-preserving discretization for port-Hamiltonian descriptor systems. CDC (2019)
Christopher A. Beattie, Serkan Gugercin, Volker Mehrmann
Structure-preserving Interpolatory Model Reduction for Port-Hamiltonian Differential-Algebraic Systems. CoRR (2019)
Christopher A. Beattie, Volker Mehrmann, Paul Van Dooren
Robust port-Hamiltonian representations of passive systems. Autom. 100 (2019)
Volker Mehrmann, Paul Van Dooren
Optimal robustness of passive discrete time systems. CoRR (2019)
Murat Manguoglu, Volker Mehrmann
A Robust Iterative Scheme for Symmetric Indefinite Systems. SIAM J. Sci. Comput. 41 (3) (2019)
Fabian Rüffler, Volker Mehrmann, Falk M. Hante
Optimal model switching for gas flow in pipe networks. Networks Heterog. Media 13 (4) (2018)
Herbert Egger, Thomas Kugler, Björn Liljegren-Sailer, Nicole Marheineke, Volker Mehrmann
On Structure-Preserving Model Reduction for Damped Wave Propagation in Transport Networks. SIAM J. Sci. Comput. 40 (1) (2018)
Nicolas Gillis, Volker Mehrmann, Punit Sharma
Computing the nearest stable matrix pairs. Numer. Linear Algebra Appl. 25 (5) (2018)
Christian Mehl, Volker Mehrmann, Marek Wojtylak
Linear Algebra Properties of Dissipative Hamiltonian Descriptor Systems. SIAM J. Matrix Anal. Appl. 39 (3) (2018)
Julius Reiss, Philipp Schulze, Jörn Sesterhenn, Volker Mehrmann
The Shifted Proper Orthogonal Decomposition: A Mode Decomposition for Multiple Transport Phenomena. SIAM J. Sci. Comput. 40 (3) (2018)
Murat Manguoglu, Volker Mehrmann
A Robust Iterative Scheme for Symmetric Indefinite Systems. CoRR (2018)
Christopher Beattie, Volker Mehrmann, Hongguo Xu, Hans Zwart
Linear port-Hamiltonian descriptor systems. Math. Control. Signals Syst. 30 (4) (2018)
Nicola Guglielmi, Christian Lubich, Volker Mehrmann
On the Nearest Singular Matrix Pencil. SIAM J. Matrix Anal. Appl. 38 (3) (2017)
Christian Mehl, Volker Mehrmann, Marek Wojtylak
Parameter-Dependent Rank-One Perturbations of Singular Hermitian Or Symmetric Pencils. SIAM J. Matrix Anal. Appl. 38 (1) (2017)
Christopher Beattie, Serkan Gugercin, Volker Mehrmann
Model reduction for systems with inhomogeneous initial conditions. Syst. Control. Lett. 99 (2017)
Volker Mehrmann, Federico Poloni
An inverse-free ADI algorithm for computing Lagrangian invariant subspaces. Numer. Linear Algebra Appl. 23 (1) (2016)
Tsung-Ming Huang, Wen-Wei Lin, Volker Mehrmann
A Newton-Type Method with Nonequivalence Deflation for Nonlinear Eigenvalue Problems Arising in Photonic Crystal Modeling. SIAM J. Sci. Comput. 38 (2) (2016)
Christian Mehl, Volker Mehrmann, Punit Sharma
Stability Radii for Linear Hamiltonian Systems with Dissipation Under Structure-Preserving Perturbations. SIAM J. Matrix Anal. Appl. 37 (4) (2016)
Christopher A. Beattie, Serkan Gugercin, Volker Mehrmann
Model Reduction for Large-scale Dynamical Systems with Inhomogeneous Initial Conditions. CoRR (2016)
Volker Mehrmann, Do Duc Thuan
Stability Analysis of Implicit Difference Equations Under Restricted Perturbations. SIAM J. Matrix Anal. Appl. 36 (1) (2015)
Subashish Datta, Volker Mehrmann
Computation of state reachable points of descriptor systems. CDC (2014)
Peter Kunkel, Volker Mehrmann, Lena Scholz
Self-adjoint differential-algebraic equations. Math. Control. Signals Syst. 26 (1) (2014)
Carsten Carstensen, Joscha Gedicke, Volker Mehrmann, Agnieszka Miedlar
An adaptive finite element method with asymptotic saturation for eigenvalue problems. Numerische Mathematik 128 (4) (2014)
Vu Hoang Linh, Volker Mehrmann
Efficient integration of strangeness-free non-stiff differential-algebraic equations by half-explicit methods. J. Comput. Appl. Math. 262 (2014)
Shmuel Friedland, Volker Mehrmann, Renato Pajarola, Susanne K. Suter
On best rank one approximation of tensors. Numer. Linear Algebra Appl. 20 (6) (2013)
Nguyen Huu Du, Vu Hoang Linh, Volker Mehrmann, Do Duc Thuan
Stability and Robust Stability of Linear Time-Invariant Delay Differential-Algebraic Equations. SIAM J. Matrix Anal. Appl. 34 (4) (2013)
Volker Mehrmann, Federico Poloni
H∞ control. Autom. 49 (6) (2013)
Timo Betcke, Nicholas J. Higham, Volker Mehrmann, Christian Schröder, Françoise Tisseur
NLEVP: A Collection of Nonlinear Eigenvalue Problems. ACM Trans. Math. Softw. 39 (2) (2013)
Volker Mehrmann, Federico Poloni
A generalized structured doubling algorithm for the numerical solution of linear quadratic optimal control problems. Numer. Linear Algebra Appl. 20 (1) (2013)
Etienne Emmrich, Volker Mehrmann
Operator Differential-Algebraic Equations Arising in Fluid Dynamics. Comput. Methods Appl. Math. 13 (4) (2013)
Ann-Kristin Baum, Volker Mehrmann
Numerical integration of positive linear differential-algebraic systems. Numerische Mathematik 124 (2) (2013)
Volker Mehrmann, Federico Poloni
Doubling Algorithms with Permuted Lagrangian Graph Bases. SIAM J. Matrix Anal. Appl. 33 (3) (2012)
Vu Hoang Linh, Volker Mehrmann, Erik S. Van Vleck
methods and error analysis for computing Lyapunov and Sacker-Sell spectral intervals for linear differential-algebraic equations. Adv. Comput. Math. 35 (2-4) (2011)
Peter Benner, Ralph Byers, Philip Losse, Volker Mehrmann, Hongguo Xu
controllers. Autom. 47 (12) (2011)
Rafikul Alam, Shreemayee Bora, Michael Karow, Volker Mehrmann, Julio Moro
Perturbation Theory for Hamiltonian Matrices and the Distance to Bounded-Realness. SIAM J. Matrix Anal. Appl. 32 (2) (2011)
Carsten Carstensen, Joscha Gedicke, Volker Mehrmann, Agnieszka Miedlar
An adaptive homotopy approach for non-selfadjoint eigenvalue problems. Numerische Mathematik 119 (3) (2011)
Volker Mehrmann, Agnieszka Miedlar
Adaptive computation of smallest eigenvalues of self-adjoint elliptic partial differential equations. Numer. Linear Algebra Appl. 18 (3) (2011)
Vu Hoang Linh, Volker Mehrmann
Approximation of Spectral Intervals and Leading Directions for Differential-Algebraic Equation via Smooth Singular Value Decompositions. SIAM J. Numer. Anal. 49 (5) (2011)
Christian Mehl, Volker Mehrmann, Hongguo Xu
Singular-value-like decomposition for complex matrix triples. J. Comput. Appl. Math. 233 (5) (2010)
D. Steven Mackey, Niloufer Mackey, Christian Mehl, Volker Mehrmann
Numerical methods for palindromic eigenvalue problems: Computing the anti-triangular Schur form. Numer. Linear Algebra Appl. 16 (1) (2009)
Yazdan Bavafa-Toosi, Christoph Blendinger, Volker Mehrmann, Andreas Steinbrecher, Roman Unger
A New Methodology for Modeling, Analysis, Synthesis, and Simulation of Time-Optimal Train Traffic in Large Networks. IEEE Trans Autom. Sci. Eng. 5 (1) (2008)
Philip Losse, Volker Mehrmann, Lisa Katrin Poppe, Timo Reis
Control Problem for Descriptor Systems. SIAM J. Control. Optim. 47 (6) (2008)
Peter Kunkel, Volker Mehrmann
Optimal control for unstructured nonlinear differential-algebraic equations of arbitrary index. Math. Control. Signals Syst. 20 (3) (2008)
Volker Mehrmann, Hongguo Xu
Explicit Solutions for a Riccati Equation from Transport Theory. SIAM J. Matrix Anal. Appl. 30 (4) (2008)
Philip Losse, Volker Mehrmann
Controllability and Observability of Second Order Descriptor Systems. SIAM J. Control. Optim. 47 (3) (2008)
Delin Chu, Xinmin Liu, Volker Mehrmann
A numerical method for computing the Hamiltonian Schur form. Numerische Mathematik 105 (3) (2007)
Volker Mehrmann, Tatjana Stykel
Descriptor Systems: A General Mathematical Framework for Modelling, Simulation and Control (Deskriptorsysteme: Ein allgemeines mathematisches Konzept für Modellierung, Simulation und Regelung). Autom. 54 (8) (2006)
Volker Mehrmann, Chunchao Shi
Transformation of high order linear differential-algebraic systems to first order. Numer. Algorithms 42 (3-4) (2006)
Shreemayee Bora, Volker Mehrmann
Linear Perturbation Theory for Structured Matrix Pencils Arising in Control Theory. SIAM J. Matrix Anal. Appl. 28 (1) (2006)
D. Steven Mackey, Niloufer Mackey, Christian Mehl, Volker Mehrmann
Structured Polynomial Eigenvalue Problems: Good Vibrations from Good Linearizations. SIAM J. Matrix Anal. Appl. 28 (4) (2006)
D. Steven Mackey, Niloufer Mackey, Christian Mehl, Volker Mehrmann
Vector Spaces of Linearizations for Matrix Polynomials. SIAM J. Matrix Anal. Appl. 28 (4) (2006)
Achim Ilchmann, Volker Mehrmann
A Behavioral Approach to Time-Varying Linear Systems. Part 2: Descriptor Systems. SIAM J. Control. Optim. 44 (5) (2005)
Peter Kunkel, Volker Mehrmann, Ronald Stöver
Multiple Shooting for Unstructured Nonlinear Differential-Algebraic Equations of Arbitrary Index. SIAM J. Numer. Anal. 42 (6) (2005)
Achim Ilchmann, Volker Mehrmann
A Behavioral Approach to Time-Varying Linear Systems. Part 1: General Theory. SIAM J. Control. Optim. 44 (5) (2005)
Olga Holtz, Volker Mehrmann, Hans Schneider
Potter, Wielandt, and Drazin on the Matrix Equation AB = ωBA: New Answers to Old Questions. Am. Math. Mon. 111 (8) (2004)
Peter Kunkel, Volker Mehrmann, Ronald Stöver
Symmetric collocation for unstructured nonlinear differential-algebraic equations of arbitrary index. Numerische Mathematik 98 (2) (2004)
Peter Benner, Daniel Kressner, Volker Mehrmann
Structure preservation: a challenge in computational control. Future Gener. Comput. Syst. 19 (7) (2003)
Raphael Loewy, Volker Mehrmann
A Note on the Symmetric Recursive Inverse Eigenvalue Problem. SIAM J. Matrix Anal. Appl. 25 (1) (2003)
Tsung-Min Hwang, Wen-Wei Lin, Volker Mehrmann
Numerical Solution of Quadratic Eigenvalue Problems with Structure-Preserving Methods. SIAM J. Sci. Comput. 24 (4) (2003)
Peter Benner, Ralph Byers, Volker Mehrmann, Hongguo Xu
Numerical Computation of Deflating Subspaces of Skew-Hamiltonian/Hamiltonian Pencils. SIAM J. Matrix Anal. Appl. 24 (1) (2002)
Gerhard Freiling, Volker Mehrmann, Hongguo Xu
Existence, Uniqueness, and Parametrization of Lagrangian Invariant Subspaces. SIAM J. Matrix Anal. Appl. 23 (4) (2002)
Matthias Bollhöfer, Volker Mehrmann
Algebraic Multilevel Methods and Sparse Approximate Inverses. SIAM J. Matrix Anal. Appl. 24 (1) (2002)
Peter Kunkel, Volker Mehrmann, Werner Rath
Analysis and Numerical Solution of Control Problems in Descriptor Form. Math. Control. Signals Syst. 14 (1) (2001)
Delin Chu, Volker Mehrmann
Disturbance decoupling for linear time-invariant systems: a matrix pencil approach. IEEE Trans. Autom. Control. 46 (5) (2001)
Peter Kunkel, Volker Mehrmann
Analysis of Over- and Underdetermined Nonlinear Differential-Algebraic Systems with Application to Nonlinear Control Problems. Math. Control. Signals Syst. 14 (3) (2001)

Volker Mehrmann.css-eqlu8i{font-size:small;padding-left:4px;}

Publication Activity (10 Years)

Top Topics

Top Venues

Volker Mehrmann