Volker Mehrmann

Computational Theory and Mathematics · 1993–2019

A researcher in the Science corpus: 25 papers; trusts 43 researchers and is trusted by 30 researchers here, as inferred from the citation graph.

Subfields

• Computational Theory and Mathematics — 72 citations into it; #1,940 of 12,182 by trust here, #1,101 by citations
• Numerical Analysis — 50 citations into it; #413 of 3,586 by trust here, #190 by citations
• Control and Systems Engineering — 25 citations into it; #4,348 of 8,257 by trust here, #3,865 by citations
• Computational Mechanics — 21 citations into it; #5,231 of 10,001 by trust here, #6,877 by citations
• Numerical Methods & Scientific Computing — 18 citations into it; #167 of 266 by trust here, #170 by citations
• Statistical and Nonlinear Physics — 16 citations into it; #2,619 of 10,127 by trust here, #3,616 by citations
• Computational Mathematics — 13 citations into it
• Atomic and Molecular Physics, and Optics — 12 citations into it

Whom Volker Mehrmann trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Tatjana Stykel
2. Zhong-Zhi Bai
3. Peter Lancaster
4. Y. Saad
5. Françoise Tisseur
6. Heinrich Voss
7. D. Steven Mackey
8. Roswitha März
9. R. Lehoucq
10. Wolfgang Hackbusch

Who trusts Volker Mehrmann overall

1. Pratibhamoy Das
2. Peter Benner
3. D. Steven Mackey
4. Valeria Simoncini
5. Oliver Weeger
6. Heinrich Voss
7. Fernando De Terán
8. Timo Reis
9. Nicholas John Higham
10. Niloufer Mackey

Papers from Volker Mehrmann's perspective

Ordered by how strongly the researchers Volker Mehrmann trusts endorse each paper. Same corpus, a different order for every researcher.

1. The Quadratic Eigenvalue Problem (SIAM Review)
2. LAPACK Users' Guide
3. Vector Spaces of Linearizations for Matrix Polynomials (SIAM Journal on Matrix Analysis and Applications)
4. Iterative methods for sparse linear systems
5. ARPACK users' guide - solution of large-scale eigenvalue problems with implicitly restarted Arnoldi methods
6. Linearization of matrix polynomials expressed in polynomial bases
7. The Symmetric Eigenvalue Problem
8. Eigenvalue decay bounds for solutions of Lyapunov equations: the symmetric case
9. Krylov-subspace methods for reduced-order modeling in circuit simulation
10. ON THE SOLUTION OF PALINDROMIC EIGENVALUE PROBLEMS

Their papers

• Structured Polynomial Eigenvalue Problems: Good Vibrations from Good Linearizations (2006) — 330 citations
• NLEVP: A Collection of Nonlinear Eigenvalue Problems (2013) — 365 citations
• Vector Spaces of Linearizations for Matrix Polynomials (2006) — 362 citations
• Perturbation theory for matrix equations (2003) — 138 citations
• Dimension Reduction of Large-Scale Systems (2005) — 519 citations
• Jordan structures of alternating matrix polynomials (2010) — 48 citations
• Nonlinear eigenvalue problems: a challenge for modern eigenvalue methods (2004) — 328 citations
• Möbius transformations of matrix polynomials (2015) — 64 citations
• Smith Forms of Palindromic Matrix Polynomials (2011) — 55 citations
• Balanced Truncation Model Reduction for Large-Scale Systems in Descriptor Form (2005) — 227 citations
• Numerical solution of singularly perturbed convection-diffusion-reaction problems with two small parameters (2015) — 141 citations
• On best rank one approximation of tensors (2011) — 48 citations
• Nonlinear optimization of district heating networks (2019) — 67 citations
• Control and Optimization with Differential-Algebraic Constraints (2012) — 94 citations
• Eigenvalue perturbation theory of classes of structured matrices under generic structured rank one perturbations (2011) — 76 citations
• Fast low rank approximations of matrices and tensors (2011) — 38 citations
• Lyapunov, Bohl and Sacker-Sell Spectral Intervals for Differential-Algebraic Equations (2009) — 54 citations
• Hybrid systems of differential-algebraic equations – Analysis and numerical solution (2009) — 52 citations
• A robust numerical method for the γ-iteration in H∞ control (2007) — 52 citations
• Differential-Algebraic Equations: Analysis and Numerical Solution (2006) — 1,106 citations