doc. Ing. Martin Plešinger, Ph.D.
e-mail: | |||
martin.plesinger_AT_SIGN_tul.cz | |||
Line | Position | Department | Office number |
+420 48535 2809 | Vice-Dean | Dean's Office of FP | G 04012 |
+420 48535 2809 | Deputy Head of Department | Katedra matematiky | G 04058 |
Publications
- E. Duintjer Tebbens, I. Hnětynková, M. Plešinger, Z. Strakoš, P. Tichý, Analýza metod pro maticové výpočty: Základní metody — Upravené a rozšířené vydání, Praha, Matfyzpress, 2, ISBN: 978-80-7378-481-2, 330 pages, [Online], 2023
- I. Hnětynková, M. Plešinger, J. Žáková, Krylov subspace approach to core problems within multilinear approximation problems: A unifying framework, SIAM Journal on matrix analysis and applications, SIAM, p. 53-79, 26 pages, ISSN: 0895-4798, n. 1, [Online], 2023
- M. Plešinger, Výpisky z lineární algebry očima nematematika, Praha, Karolinum, 1, ISBN: 978-80-246-4096-9, 476 pages, [Online], 2023
- P. Márton, M. Gonçalves, M. Pasciak, S. Körbel, V. Chumchal, M. Plešinger, A. Klíč, J. Hlinka, Zigzag charged domain walls in ferroelectric PbTiO₃, Physical Review B, American Physical Society, p. 094102(1)-094102(9), 9 pages, ISSN: 2469-9950, n. 9, [Online], 2023
- I. Hnětynková, M. Plešinger, J. Žáková, Extracting relevant data from linear data fitting problems via generalized Krylov subspace methods, Householder Symposium XXI on Numerical Linear Algebra, p. 219-221, 3 pages, [Online], 2020
- I. Hnětynková, M. Plešinger, J. Žáková, Recent development of the core problem theory in the context of the total least squares minimization, Householder Symposium XXI on Numerical Linear Algebra, p. 321-323, 3 pages, [Online], 2020
- I. Hnětynková, M. Plešinger, J. Žáková, On TLS formulation and core reduction for data fitting with generalized models, Linear Algebra and Its Applications, Elsevier BV, p. 1-20, 20 pages, ISSN: 0024-3795, n. 15 September, [Online], 2019
- I. Hnětynková, M. Plešinger, J. Žáková, Solvability classes for core problems in matrix total least squares minimization, Applications of Mathematics, Springer, p. 103-128, 26 pages, ISSN: 0862-7940, n. 2, [Online], 2019
- M. Plešinger, I. Pultarová, On the extreme eigenvalues of certain matrices of non-standard inner products of Hermite polynomials, Linear Algebra and Its Applications, Elsevier, p. 50-66, 17 pages, ISSN: 0024-3795, n. 1 June, [Online], 2018
- I. Hnětynková, M. Plešinger, J. Žáková, TLS formulation and core reduction for problems with structured right-hand sides, Linear Algebra and Its Applications, Elsevier, p. 241-265, 25 pages, ISSN: 0024-3795, n. 15 October, [Online], 2018
- I. Hnětynková, M. Plešinger, J. Žáková, Towards tensor generalizations of TLS & core problem theory, Proceedings in Applied Mathematics and Mechanics, Weinheim, WILEY-VCH Verlag GmbH & Co. KG, 2 pages, ISSN: 1617-7061, n. 1, [Online], 2018
- I. Hnětynková, M. Plešinger, J. Žáková, Filter factors of truncated tls regularization with multiple observations, Applications of Mathematics, Springer, p. 105-120, 16 pages, ISSN: 0862-7940, n. 2, [Online], 2017
- I. Hnětynková, M. Plešinger, J. Žáková, Modification of TLS algorithm for solving ℱ2 linear data fitting problems, Proceedings in Applied Mathematics and Mechanics, Wiley Interscience, p. 749-750, 2 pages, ISSN: 1617-7061, [Online], 2017
- I. Hnětynková, M. Kubínová, M. Plešinger, Noise representation in residuals of LSQR, LSMR, and CRAIG regularization, Linear Algebra and Its Applications, Elsevier, p. 357-379, 23 pages, ISSN: 0024-3795, n. 15 November, [Online], 2017
- I. Hnětynková, M. Kubínová, M. Plešinger, Notes on performance of bidiagonalization-based noise level estimator in image deblurring, Proceedings of the conference Algoritmy 2016, ISBN: 978-80-227-4544-4, p. 333-342, 10 pages, [Online], 2016
- I. Hnětynková, M. Plešinger, D. Sima, Solvability of the core problem with multiple right-hand sides in the TLS sense, SIAM Journal on Matrix Analysis and Applications, SIAM, p. 861-876, 16 pages, ISSN: 0895-4798, n. 3, [Online], 2016
- I. Hnětynková, M. Plešinger, Z. Strakoš, Band generalization of the Golub-Kahan bidiagonalization, generalized Jacobi matrices, and the core problem, SIAM Journal on Matrix Analysis and Applications, Society for Industrial and Applied Mathematics, p. 417-434, 18 pages, ISSN: 0895-4798, n. 2, [Online], 2015
- I. Hnětynková, M. Plešinger, Complex wedge-shaped matrices: A generalization of Jacobi matrices, Linear Algebra and Its Applications, Elsevier, p. 203-219, 17 pages, ISSN: 0024-3795, [Online], 2015
- D. Kressner, M. Plešinger, C. Tobler, A preconditioned low-rank CG method for parameter-dependent Lyapunov matrix equations, Numerical Linear Algebra with Applications, p. 666-684, 19 pages, ISSN: 1070-5325, n. 5, [Online], 2014
- I. Hnětynková, M. Michenková, M. Plešinger, Noise approximation in discrete ill-posed problems, Householder Symposium XIX on Numerical Linear Algebra, p. 107-108, 2 pages, [Online], 2014
- I. Hnětynková, M. Plešinger, D. Sima, The core problem within a linear approximation problem with multiple right-hand sides, Householder Symposium XIX on Numerical Linear Algebra, p. 180-181, 2 pages, [Online], 2014
- I. Hnětynková, M. Plešinger, Z. Strakoš, The core problem within a linear approximation problem AX ≈ B with multiple right-hand sides, SIAM Journal on Matrix Analysis and Applications, SIAM Publications, p. 917-931, 15 pages, ISSN: 0895-4798, n. 2, [Online], 2013
- E. Duintjer Tebbens, I. Hnětynková, M. Plešinger, Z. Strakoš, P. Tichý, Analýza metod pro maticové výpočty: Základní metody, Praha, Matfyzpress, 1, ISBN: 978-80-7378-201-6, 308 pages, 2012
- I. Hnětynková, M. Plešinger, Z. Strakoš, The Golub–Kahan iterative bidiagonalization in regularization of ill-posed problems and estimation of the noise in the data, Householder Symposium XVIII on Numerical Linear Algebra, p. 106-107, 2 pages, [Online], 2011
- I. Hnětynková, M. Plešinger, D. Sima, Z. Strakoš, S. Van Huffel, The total least squares problem in AX ≈ B. A new classification with the relationship to the classical works, SIAM Journal on Matrix Analysis and Applications, SIAM Publications, p. 748-770, 23 pages, ISSN: 0895-4798, n. 3, [Online], 2011
- I. Hnětynková, M. Plešinger, D. Sima, Z. Strakoš, S. Van Huffel, The total least squares problem with multiple right-hand sides, Householder Symposium XVIII on Numerical Linear Algebra, p. 182-183, 2 pages, [Online], 2011
- I. Hnětynková, M. Plešinger, Z. Strakoš, The regularizing effect of the Golub–Kahan iterative bidiagonalization and revealing the noise level in the data, BIT Numerical Mathematics, Springer Verlag, p. 669-696, 28 pages, ISSN: 0006-3835, n. 4, [Online], 2009
- I. Hnětynková, M. Plešinger, Z. Strakoš, On solution of total least squares problems with multiple right‐hand sides, Proceedings in Applied Mathematics and Mechanics, Willey Interscience, p. 10815-10816, 2 pages, ISSN: 1617-7061, n. 1, [Online], 2008
- I. Hnětynková, M. Plešinger, Z. Strakoš, Lanczos tridiagonalization, Golub–Kahan bidiagonalization and core problem, Proceedings in Applied Mathematics and Mechanics, Wiley Interscience, p. 717-718, 2 pages, ISSN: 1617-7061, n. 1, [Online], 2006