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Martin Plešinger
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The regularizing effect of the Golub-Kahan iterative bidiagonalization and revealing the noise level in the data
I Hnětynková, M Plešinger, Z Strakoš
BIT Numerical Mathematics 49, 669-696, 2009
792009
Analýza metod pro maticové výpočty: Základní metody
EJ Duintjer Tebbens, I Hnětynková, M Plešinger, Z Strakoš, P Tichý
Matfyzpress, Praha, 2012
46*2012
The total least squares problem in AX≈B: A new classification with the relationship to the classical works
I Hnetynková, M Plešinger, DM Sima, Z Strakoš, S Van Huffel
SIAM Journal on Matrix Analysis and Applications 32 (3), 748-770, 2011
422011
A preconditioned low-rank CG method for parameter-dependent Lyapunov matrix equations
D Kressner, M Plešinger, C Tobler
Numerical Linear Algebra with Applications 21 (5), 666-684, 2014
312014
The total least squares problem and reduction of data in AX≈B
M Plešinger
PhD thesis, 2008
232008
Band generalization of the Golub–Kahan bidiagonalization, generalized Jacobi matrices, and the core problem
I Hnětynková, M Plešinger, Z Strakoš
SIAM Journal on Matrix Analysis and Applications 36 (2), 417-434, 2015
222015
The core problem within a linear approximation problem AX≈B with multiple right-hand sides
I Hnětynková, M Plešinger, Z Strakoš
SIAM Journal on Matrix Analysis and Applications 34 (3), 917-931, 2013
202013
Noise representation in residuals of LSQR, LSMR, and CRAIG regularization
I Hnětynková, M Kubínová, M Plešinger
Linear Algebra and its Applications 533, 357-379, 2017
192017
Solvability of the core problem with multiple right-hand sides in the TLS sense
I Hnětynková, M Plešinger, DM Sima
SIAM Journal on Matrix Analysis and Applications 37 (3), 861-876, 2016
162016
Lanczos tridiagonalization, Golub‐Kahan bidiagonalization and core problem
I Hnětynková, M Plešinger, Z Strakoš
PAMM: Proceedings in Applied Mathematics and Mechanics 6 (1), 717-718, 2006
132006
TLS formulation and core reduction for problems with structured right-hand sides
I Hnětynková, M Plešinger, J Žáková
Linear Algebra and its Applications 555, 241-265, 2018
62018
On TLS formulation and core reduction for data fitting with generalized models
I Hnětynková, M Plešinger, J Žáková
Linear Algebra and its Applications 577, 1-20, 2019
42019
Solvability classes for core problems in matrix total least squares minimization
I Hnětynková, M Plešinger, J Žáková
Applications of Mathematics 64 (2), 103-128, 2019
32019
Modification of TLS algorithm for solving ℱ2 linear data fitting problems
I Hnětynková, M Plešinger, J Žáková
PAMM: Proceedings in Applied Mathematics and Mechanics 17 (1), 749-750, 2017
32017
Filter factors of truncated TLS regularization with multiple observations
I Hnětynková, M Plešinger, J Žáková
Applications of Mathematics 62 (2), 105-120, 2017
32017
Complex wedge-shaped matrices: A generalization of Jacobi matrices
I Hnětynková, M Plešinger
Linear Algebra and its Applications 487, 203-219, 2015
32015
On solution of total least squares problems with multiple right‐hand sides
I Hnětynková, M Plešinger, Z Strakoš
PAMM: Proceedings in Applied Mathematics and Mechanics 8 (1), 10815-10816, 2008
32008
Notes on performance of bidiagonalization-based noise level estimator in image deblurring
I Hnětynková, M Kubínová, M Plešinger
Proceedings of ALGORITMY, 333-342, 2016
22016
Zigzag charged domain walls in ferroelectric PbTiO₃
P Marton, MAP Gonçalves, M Paściak, S Körbel, V Chumchal, ...
Physical Review B 107 (9), 094102, 2023
12023
Krylov subspace approach to core problems within multilinear approximation problems: A unifying framework
I Hnětynková, M Plešinger, J Žáková
SIAM Journal on Matrix Analysis and Applications 44 (1), 53-79, 2023
2023
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