doc. Ing. Martin Plešinger, Ph.D.

doc. Ing. Martin Plešinger, Ph.D. QR VCARD
LinePositionDepartmentOffice number
+420 48535 2835Vice-DeanDean's Office of FP
+420 48535 2809Deputy Head of DepartmentKatedra matematikyG04058

Publications

  1. 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, p. 53-79, 26 pages, ISSN: 0895-4798, n. 1, [Online], 2023
  2. 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
  3. 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
  4. 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
  5. 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
  6. 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
  7. 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
  8. 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, 2 pages, ISSN: 1617-7061, n. 1, [Online], 2018
  9. 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
  10. 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
  11. 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
  12. 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
  13. 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
  14. 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
  15. 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
  16. 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
  17. 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
  18. 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
  19. 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
  20. 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
  21. 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
  22. 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
  23. 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
  24. 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
  25. 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
  26. 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