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Thomas Mach
Thomas Mach
Postdoc at the Institute for Mathematics, University of Potsdam
Verified email at uni-potsdam.de - Homepage
Title
Cited by
Cited by
Year
Fast and backward stable computation of roots of polynomials
JL Aurentz, T Mach, R Vandebril, DS Watkins
692014
Core-chasing algorithms for the eigenvalue problem
JL Aurentz, T Mach, L Robol, R Vandebril, DS Watkins
Society for Industrial and Applied Mathematics, 2018
392018
Computing All or Some Eigenvalues of Symmetric -Matrices
P Benner, T Mach
SIAM Journal on Scientific Computing 34 (1), A485-A496, 2012
252012
Fast and backward stable computation of roots of polynomials, Part II: Backward error analysis; companion matrix and companion pencil
JL Aurentz, T Mach, L Robol, R Vandebril, DS Watkins
SIAM Journal on Matrix Analysis and Applications 39 (3), 1245-1269, 2018
242018
Computing Inner Eigenvalues of Matrices in Tensor Train Matrix Format
T Mach
232011
On the QR decomposition of ℋ-matrices
P Benner, T Mach
Computing 88 (3), 111-129, 2010
212010
Fast and backward stable computation of eigenvalues and eigenvectors of matrix polynomials
J Aurentz, T Mach, L Robol, R Vandebril, D Watkins
Mathematics of Computation 88 (315), 313-347, 2019
202019
Computing approximate (block) rational Krylov subspaces without explicit inversion with extensions to symmetric matrices
T Mach, MS Pranic, R Vandebril
Electron. Trans. Numer. Anal 43 (100-124), 15, 2014
192014
Adaptive cross approximation for ill-posed problems
T Mach, L Reichel, M Van Barel, R Vandebril
Journal of Computational and Applied Mathematics 303, 206-217, 2016
182016
Inverse eigenvalue problems for extended Hessenberg and extended tridiagonal matrices
T Mach, M Van Barel, R Vandebril
Journal of Computational and Applied Mathematics 272, 377-398, 2014
18*2014
Computing Approximate Extended Krylov Subspaces without Explicit Inversion
T Mach, MS Pranic, R Vandebril
182013
Eigenvalue Algorithms for Symmetric Hierarchical Matrices
T Mach
TU Chemnitz/Max Planck Institute for Dynamics of C, 2012
152012
Fast and stable unitary QR algorithm
JL Aurentz, T Mach, R Vandebril, DS Watkins
Electron. Trans. Numer. Anal 44, 327-341, 2015
142015
On deflations in extended QR algorithms
T Mach, R Vandebril
SIAM Journal on Matrix Analysis and Applications 35 (2), 559-579, 2014
142014
The preconditioned inverse iteration for hierarchical matrices
P Benner, T Mach
122011
The LR Cholesky algorithm for symmetric hierarchical matrices
P Benner, T Mach
Linear Algebra and its Applications 439 (4), 1150-1166, 2013
112013
Locally optimal block preconditioned conjugate gradient method for hierarchical matrices
P Benner, T Mach
PAMM 11 (1), 741-742, 2011
112011
Towards an ADI iteration for Tensor Structured Equations
T Mach, J Saak
Max Planck Institute Preprints, 2011
102011
Computing the eigenvalues of symmetric -matrices by slicing the spectrum
P Benner, S Börm, T Mach, K Reimer
Computing and Visualization in Science 16 (6), 271-282, 2013
82013
New matrix function approximations and quadrature rules based on the Arnoldi process
N Eshghi, T Mach, L Reichel
Journal of Computational and Applied Mathematics 391, 113442, 2021
52021
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