doc. Ing. Martin Plešinger, Ph.D.

doc. Ing. Martin Plešinger, Ph.D. QR VCARD
e-mail:
martin.plesinger_AT_SIGN_tul.cz
LinePositionDepartmentOffice number
+420 48535 7050Vice-DeanDean's Office of FPG 04011
+420 48535 7050EmployeeKatedra matematikyG 04058

Publications

  1. J. Lungová, M. Plešinger, On bounds for rank growth of iterands in conjugate gradients for Lyapunov equation, Proceedings of Programs and Algorithms of Numerical Mathematics 23, Praha, Matematický ústav AV ČR, v. v. i., ISBN: 978-80-000-0000-8, 10 pages, ISSN: 0000-0000, [Online], 2026
  2. J. Boháčová, J. Lungová, M. Plešinger, Strassenovo násobení matic a problém hodnosti jistého tenzoru, Pokroky matematiky, fyziky a astronomie, Praha, Jednota českých matematiků a fyziků, p. 13-22, 10 pages, ISSN: 0032-2423, n. 1, 2026
  3. M. Plešinger, Výpisky z obecné algebry očima nematematika, Praha, Karolinum, 1, ISBN: 978-80-246-6459-0, 446 pages, [Online], 2026
  4. V. Chumchal, P. Márton, M. Plešinger, M. Šimůnková, Tensor-structured PCG for finite difference solver of domain patterns in ferroelectric material, Applications of Mathematics, Praha, Springer, 32 pages, ISSN: 0862-7940, n. xx, [Online], 2025
  5. 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
  6. 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
  7. M. Plešinger, Výpisky z lineární algebry očima nematematika, Praha, Karolinum, 1, ISBN: 978-80-246-4096-9, 476 pages, [Online], 2023
  8. 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
  9. 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
  10. 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
  11. 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
  12. 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
  13. 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
  14. 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
  15. 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
  16. 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
  17. 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, n. December, [Online], 2017
  18. 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
  19. 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
  20. 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
  21. 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
  22. 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, n. December, [Online], 2015
  23. 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
  24. 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
  25. 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
  26. 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
  27. 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
  28. 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
  29. 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
  30. 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
  31. 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
  32. 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
  33. 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