Volker Mehrmann

According to our database1, Volker Mehrmann authored at least 85 papers between 1992 and 2020.

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Bibliography

2020
Optimal Robustness of Port-Hamiltonian Systems.
SIAM J. Matrix Anal. Appl., 2020

Optimal robustness of passive discrete-time systems.
IMA J. Math. Control. Inf., 2020

A two-level iterative scheme for general sparse linear systems based on approximate skew-symmetrizers.
CoRR, 2020

Stability Assessment of Stochastic Differential-Algebraic Systems via Lyapunov Exponents with an Application to Power Systems.
CoRR, 2020

Structured backward errors for eigenvalues of linear port-Hamiltonian descriptor systems.
CoRR, 2020

Model order reduction for parametric high dimensional models in the analysis of financial risk.
CoRR, 2020

Distance problems for dissipative Hamiltonian systems and related matrix polynomials.
CoRR, 2020

Approximation of stability radii for large-scale dissipative Hamiltonian systems.
Adv. Comput. Math., 2020

2019
A Robust Iterative Scheme for Symmetric Indefinite Systems.
SIAM J. Sci. Comput., 2019

Structure-preserving Interpolatory Model Reduction for Port-Hamiltonian Differential-Algebraic Systems.
CoRR, 2019

Robust port-Hamiltonian representations of passive systems.
Autom., 2019

Structure-preserving discretization for port-Hamiltonian descriptor systems.
Proceedings of the 58th IEEE Conference on Decision and Control, 2019

2018
The Shifted Proper Orthogonal Decomposition: A Mode Decomposition for Multiple Transport Phenomena.
SIAM J. Sci. Comput., 2018

On Structure-Preserving Model Reduction for Damped Wave Propagation in Transport Networks.
SIAM J. Sci. Comput., 2018

Linear Algebra Properties of Dissipative Hamiltonian Descriptor Systems.
SIAM J. Matrix Anal. Appl., 2018

Computing the nearest stable matrix pairs.
Numer. Linear Algebra Appl., 2018

Optimal model switching for gas flow in pipe networks.
Networks Heterog. Media, 2018

Linear port-Hamiltonian descriptor systems.
Math. Control. Signals Syst., 2018

2017
Parameter-Dependent Rank-One Perturbations of Singular Hermitian Or Symmetric Pencils.
SIAM J. Matrix Anal. Appl., 2017

On the Nearest Singular Matrix Pencil.
SIAM J. Matrix Anal. Appl., 2017

Model reduction for systems with inhomogeneous initial conditions.
Syst. Control. Lett., 2017

2016
A Newton-Type Method with Nonequivalence Deflation for Nonlinear Eigenvalue Problems Arising in Photonic Crystal Modeling.
SIAM J. Sci. Comput., 2016

Stability Radii for Linear Hamiltonian Systems with Dissipation Under Structure-Preserving Perturbations.
SIAM J. Matrix Anal. Appl., 2016

An inverse-free ADI algorithm for computing Lagrangian invariant subspaces.
Numer. Linear Algebra Appl., 2016

Model Reduction for Large-scale Dynamical Systems with Inhomogeneous Initial Conditions.
CoRR, 2016

2015
Basic Numerical Methods and Software for Computer-aided Control Systems Design.
Proceedings of the Encyclopedia of Systems and Control, 2015

Stability Analysis of Implicit Difference Equations Under Restricted Perturbations.
SIAM J. Matrix Anal. Appl., 2015

2014
An adaptive finite element method with asymptotic saturation for eigenvalue problems.
Numerische Mathematik, 2014

Self-adjoint differential-algebraic equations.
Math. Control. Signals Syst., 2014

Efficient integration of strangeness-free non-stiff differential-algebraic equations by half-explicit methods.
J. Comput. Appl. Math., 2014

Computation of state reachable points of descriptor systems.
Proceedings of the 53rd IEEE Conference on Decision and Control, 2014

2013
NLEVP: A Collection of Nonlinear Eigenvalue Problems.
ACM Trans. Math. Softw., 2013

Stability and Robust Stability of Linear Time-Invariant Delay Differential-Algebraic Equations.
SIAM J. Matrix Anal. Appl., 2013

Numerical integration of positive linear differential-algebraic systems.
Numerische Mathematik, 2013

A generalized structured doubling algorithm for the numerical solution of linear quadratic optimal control problems.
Numer. Linear Algebra Appl., 2013

On best rank one approximation of tensors.
Numer. Linear Algebra Appl., 2013

Operator Differential-Algebraic Equations Arising in Fluid Dynamics.
Comput. Methods Appl. Math., 2013

Using permuted graph bases in <i>H</i><sub><i>∞</i></sub>H∞ control.
Autom., 2013

2012
Doubling Algorithms with Permuted Lagrangian Graph Bases.
SIAM J. Matrix Anal. Appl., 2012

2011
Approximation of Spectral Intervals and Leading Directions for Differential-Algebraic Equation via Smooth Singular Value Decompositions.
SIAM J. Numer. Anal., 2011

Perturbation Theory for Hamiltonian Matrices and the Distance to Bounded-Realness.
SIAM J. Matrix Anal. Appl., 2011

An adaptive homotopy approach for non-selfadjoint eigenvalue problems.
Numerische Mathematik, 2011

Adaptive computation of smallest eigenvalues of self-adjoint elliptic partial differential equations.
Numer. Linear Algebra Appl., 2011

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

<i>QR</i> methods and error analysis for computing Lyapunov and Sacker-Sell spectral intervals for linear differential-algebraic equations.
Adv. Comput. Math., 2011

2010
Singular-value-like decomposition for complex matrix triples.
J. Comput. Appl. Math., 2010

2009
Numerical methods for palindromic eigenvalue problems: Computing the anti-triangular Schur form.
Numer. Linear Algebra Appl., 2009

2008
A New Methodology for Modeling, Analysis, Synthesis, and Simulation of Time-Optimal Train Traffic in Large Networks.
IEEE Trans Autom. Sci. Eng., 2008

Explicit Solutions for a Riccati Equation from Transport Theory.
SIAM J. Matrix Anal. Appl., 2008

The Modified Optimal <i>H</i><sub>infinity</sub> Control Problem for Descriptor Systems.
SIAM J. Control. Optim., 2008

Controllability and Observability of Second Order Descriptor Systems.
SIAM J. Control. Optim., 2008

Optimal control for unstructured nonlinear differential-algebraic equations of arbitrary index.
Math. Control. Signals Syst., 2008

2007
A numerical method for computing the Hamiltonian Schur form.
Numerische Mathematik, 2007

2006
Structured Polynomial Eigenvalue Problems: Good Vibrations from Good Linearizations.
SIAM J. Matrix Anal. Appl., 2006

Vector Spaces of Linearizations for Matrix Polynomials.
SIAM J. Matrix Anal. Appl., 2006

Linear Perturbation Theory for Structured Matrix Pencils Arising in Control Theory.
SIAM J. Matrix Anal. Appl., 2006

Transformation of high order linear differential-algebraic systems to first order.
Numer. Algorithms, 2006

Descriptor Systems: A General Mathematical Framework for Modelling, Simulation and Control (Deskriptorsysteme: Ein allgemeines mathematisches Konzept für Modellierung, Simulation und Regelung).
Autom., 2006

2005
Multiple Shooting for Unstructured Nonlinear Differential-Algebraic Equations of Arbitrary Index.
SIAM J. Numer. Anal., 2005

A Behavioral Approach to Time-Varying Linear Systems. Part 2: Descriptor Systems.
SIAM J. Control. Optim., 2005

A Behavioral Approach to Time-Varying Linear Systems. Part 1: General Theory.
SIAM J. Control. Optim., 2005

2004
Potter, Wielandt, and Drazin on the Matrix Equation AB = ωBA: New Answers to Old Questions.
Am. Math. Mon., 2004

Symmetric collocation for unstructured nonlinear differential-algebraic equations of arbitrary index.
Numerische Mathematik, 2004

2003
Numerical Solution of Quadratic Eigenvalue Problems with Structure-Preserving Methods.
SIAM J. Sci. Comput., 2003

A Note on the Symmetric Recursive Inverse Eigenvalue Problem.
SIAM J. Matrix Anal. Appl., 2003

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

2002
Existence, Uniqueness, and Parametrization of Lagrangian Invariant Subspaces.
SIAM J. Matrix Anal. Appl., 2002

Algebraic Multilevel Methods and Sparse Approximate Inverses.
SIAM J. Matrix Anal. Appl., 2002

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

2001
Disturbance decoupling for linear time-invariant systems: a matrix pencil approach.
IEEE Trans. Autom. Control., 2001

Structure-Preserving Methods for Computing Eigenpairs of Large Sparse Skew-Hamiltonian/Hamiltonian Pencils.
SIAM J. Sci. Comput., 2001

Perturbation Analysis of Hamiltonian Schur and Block-Schur Forms.
SIAM J. Matrix Anal. Appl., 2001

Analysis and Numerical Solution of Control Problems in Descriptor Form.
Math. Control. Signals Syst., 2001

Analysis of Over- and Underdetermined Nonlinear Differential-Algebraic Systems with Application to Nonlinear Control Problems.
Math. Control. Signals Syst., 2001

2000
The Recursive Inverse Eigenvalue Problem.
SIAM J. Matrix Anal. Appl., 2000

Disturbance Decoupling for Descriptor Systems by State Feedback.
SIAM J. Control. Optim., 2000

1999
The Anderson Model of Localization: A Challenge for Modern Eigenvalue Methods.
SIAM J. Sci. Comput., 1999

1997
A New Software Package for Linear Differential-Algebraic Equations.
SIAM J. Sci. Comput., 1997

The linear quadratic optimal control problem for linear descriptor systems with variable coefficients.
Math. Control. Signals Syst., 1997

1996
Algebraic Riccati Equations (Peter Lancaster and Leiba Rodman).
SIAM Rev., 1996

Generalized Inverses of Differential-Algebraic Operators.
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.
Numer. Linear Algebra Appl., 1995

1993
Divide and Conquer Methods for Block Tridiagonal Systems.
Parallel Comput., 1993

1992
Regularization of Descriptor Systems by Derivative and Proportional State Feedback.
SIAM J. Matrix Anal. Appl., 1992

A Chart of Numerical Methods for Structured Eigenvalue Problems.
SIAM J. Matrix Anal. Appl., 1992


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