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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 DepartmentDepartment of Mathematics and Didactics of MathematicsG04058

Publications

  1. 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
  2. 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
  3. 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
  4. 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
  5. 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
  6. 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
  7. 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
  8. 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
  9. 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
  10. 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
  11. 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
  12. 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
  13. 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
  14. 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
  15. 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
  16. 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