Motto.   Homo nascitur imperfectus, sed perfectibilis est cum virtutibus et scienciis. Ad scienciam vero aquirendam duo principaliter sunt necessaria, scilicet karitas seu dileccio et sedulitas sive continuacio.

Magister Cristiannus de Prachaticz (Kříšťan z Prachatic)  
Algorismus prosaycus, prefacio, ante 1439  

Martin Plešinger – Homepage

Curriculum Vitæ
• Curriculum Vitæ in PDF
• In pictures, from the left to the right, 1990, 1994, 1998 (approximately :o)), and 2010 (with Cray X–MP/28):
Mata 1990 Mata 1994 (approximately) Mata 1998 (approximately) Mata 2010 & Cray X–MP/28 (ETHZ)
Menu Colleagues and Collaborators (not a full list)
• Papers
• Selected proceedings contributions
• Textbook (in Czech)
• Supervised students
• Theses
• Editorial work
• Iveta Hnětynková
• Daniel Kressner
• Ivana Pultarová
• Zdeněk Strakoš
• Sabine Van Huffel

Selected Lectures

Slides Slides Slides
On the Extreme Eigenvalues of Certain Gram Matrices of Hermite Polynomials, PANM'19 and KO-MIX seminary lecture, Hejnice, 2018 and Liberec, 2019. Google Matrix & The Question of Relevance of Web Pages (in Czech), Habilitation and KO-MIX seminary lecture, Ostrava and Liberec, 2018. The Total Least Squares Problem with Multiple Right-Hand Sides AX ≈ B, Invited lecture at PANM'16, Dolní Maxov, 2012.
Slides Slides
SlidesIll-posed Inverse Problems in Image Processing,
Lecture 1
SlidesIll-posed Inverse Problems in Image Processing,
Lecture 2
SlidesIll-posed Inverse Problems in Image Processing,
Lecture 3
On the Way from Matrix to Tensor Computations: Introduction, Basic arithmetics, Tensor decompositions, Hierarchical formats, and Tensor networks, Winter school lecture at SNA'19, Ostrava, 2019. Ill-posed Inverse Problems in Image Processing: Introduction, Structured matrices, Spectral filtering, Regularization, Noise revealing, series of three Winter school lectures at SNA'11, Rožnov pod Radhoštěm, 2011.

Papers

Paper I. Hnětynková, M. Plešinger, J. Žáková: On TLS formulation and core reduction for data fitting with generalized models, Linear Algebra and its Applications (ISSN 0024-3795), Volume 577 (2019), pp. 1–20.
DOI: 10.1016/j.laa.2019.04.018
Paper I. Hnětynková, M. Plešinger, J. Žáková: Solvability classes for core problems in matrix total least squares minimization, Applications of Mathematics (ISSN 0862-7940 (Print) 1572-9109 (Online)), Volume 64, Issue 2 (2019), pp. 103–128.
DOI: 10.21136/AM.2019.0252-18
Paper I. Hnětynková, M. Plešinger, J. Žáková: TLS formulation and core reduction for problems with structured right-hand sides, Linear Algebra and its Applications (ISSN 0024-3795), Volume 555 (2018), pp. 241–265.
DOI: 10.1016/j.laa.2018.06.016
Paper M. Plešinger, I. Pultarová: On the extreme eigenvalues of certain matrices of non-standard inner products of Hermite polynomials, Linear Algebra and its Applications (ISSN 0024-3795), Volume 546 (2018), pp. 50–66.
DOI: 10.1016/j.laa.2018.02.003
Paper I. Hnětynková, M. Kubínová, M. Plešinger: Noise representation in residuals of LSQR, LSMR, and CRAIG regularization, Linear Algebra and its Applications (ISSN 0024-3795), Volume 533 (2017), pp. 357–379.
DOI: 10.1016/j.laa.2017.07.031
• Preprint available: [ arXiv:1612.05551 ].
Paper I. Hnětynková, M. Plešinger, J. Žáková: Filter factors of truncated TLS regularization with multiple observations, Applications of Mathematics (ISSN 0862-7940 (Print) 1572-9109 (Online)), Volume 62, Issue 2 (2017), pp. 105–120.
DOI: 10.21136/AM.2017.0228-16
Paper I. Hnětynková, M. Plešinger, D. M. Sima: Solvability of the core problem with multiple right-hand sides in the TLS sense, SIAM J. on Matrix Analysis and Applications (ISSN 0895-4798 (Print) 1095-7162 (Online)), Volume 37, Issue 3 (2016), pp. 861–876.
DOI: 10.1137/15M1028339
Paper I. Hnětynková, M. Plešinger: Complex wedge-shaped matrices: A generalization of Jacobi matrices, Linear Algebra and its Applications (ISSN 0024-3795), Volume 487 (2015), pp. 203–219.
DOI: 10.1016/j.laa.2015.09.017
Paper I. Hnětynková, M. Plešinger, Z. Strakoš: Band generalization of the Golub–Kahan bidiagonalization, generalized Jacobi matrices, and the core problem, SIAM J. on Matrix Analysis and Applications (ISSN 0895-4798 (Print) 1095-7162 (Online)), Volume 36, Issue 2 (2015), pp. 417–434.
DOI: 10.1137/140968914
Paper D. Kressner, M. Plešinger, C. Tobler: A preconditioned low-rank CG method for parameter-dependent Lyapunov matrix equations, Numerical Linear Algebra with Applications (ISSN 1070-5325 (Print) 1099-1506 (Online)), Volume 21, Issue 5 (2014), pp. 666–684.
DOI: 10.1002/nla.1919
• Preprint (extended version) available as the EPFL MATHICSE Technical Report Nr. 18.2012: [ Technical reports 2012 | PDF ].
Paper I. Hnětynková, M. Plešinger, Z. Strakoš: The core problem within a linear approximation problem AX ≈ B with multiple right-hand sides, SIAM J. on Matrix Analysis and Applications (ISSN 0895-4798 (Print) 1095-7162 (Online)), Volume 34, Issue 3 (2013), pp. 917–931.
DOI: 10.1137/120884237
Paper I. Hnětynková, M. Plešinger, D. M. 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 J. on Matrix Analysis and Applications (ISSN 0895-4798 (Print) 1095-7162 (Online)), Volume 32, Issue 3 (2011), pp. 748–770.
DOI: 10.1137/100813348
• Preprint available as the ETH SAM Research Report No. 2010-38: [ Research reports 2010 | No. 2010-38 | PDF ].
Paper 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 (ISSN 0006-3835 (Print) 1572-9125 (Online)), Volume 49, Number 4 (2009), pp. 669–696.
DOI: 10.1007/s10543-009-0239-7

Selected proceedings contributions

Paper I. Hnětynková, M. Plešinger, J. Žáková: Towards tensor generalizations of TLS & core problem theory, PAMM · Proceedings in Applied Mathematics and Mechanics (ISSN 1617-7061), Volume 18, Issue 1 (2018), Article e201800196, 2 pages.
DOI: 10.1002/pamm.201800196
Paper I. Hnětynková, M. Plešinger, J. Žáková: Modification of TLS algorithm for solving F2 linear data fitting problems, PAMM · Proceedings in Applied Mathematics and Mechanics (ISSN 1617-7061), Volume 17, Issue 1 (2017), pp. 749–750.
DOI: 10.1002/pamm.201710342
Paper I. Hnětynková, M. Kubínová, M. Plešinger: Notes on performance of bidiagonalization-based noise level estimator in image deblurring, in proceedings of Algoritmy 2016 conference (ISBN 978-80-227-4454-4). Editor A. Handlovičová, Slovak University of Technology in Bratislava, Publishing House of STU, 2016, pp. 333–342.
Paper I. Hnětynková, M. Plešinger, Z. Strakoš: On solution of total least squares problems with multiple right-hand sides, PAMM · Proceedings in Applied Mathematics and Mechanics (ISSN 1617-7061), Volume 8, Issue 1 (2008), pp. 10815–10816.
DOI: 10.1002/pamm.200810815
Paper I. Hnětynková, M. Plešinger, Z. Strakoš: Lanczos tridiagonalization, Golub–Kahan bidiagonalization and core problem, PAMM · Proceedings in Applied Mathematics and Mechanics (ISSN 1617-7061), Volume 6, Issue 1 (2006), pp. 717–718.
DOI: 10.1002/pamm.200610339

Textbook (in Czech)

Book E. J. Duintjer Tebbens, I. Hnětynková, M. Plešinger, Z. Strakoš, P. Tichý: Analysis of methods for matrix computations: Basic methods (Analýza metod pro maticové výpočty: Základní metody; written in Czech), Matfyzpress Prague, 2012 (xvi+308 pages (1st impression), xvi+312 pages (2nd impression), ISBN 978-80-7378-201-6).
• Awarded the Jaroslav Jirsa Price for the best textbook in mathematics and physics: [ JPG ], [ JPG ]. • Textbooks website: [ Cover + table of content ], [ Matlab scripts ]. • Buy here: [ Matfyzpress Prague ] (420 CZK).

Supervised students

Thesis B. Košková: Hierarchical matrices: A contemporary approach for large-scale dense matrices (Hierarchické matice: Moderní přístup k práci s velkými hustými maticemi; written in Czech), bachelor thesis, Faculty of Education, Technical University of Liberec, 2018 (49 pages).
Thesis K. Stolínová: “Batman decomposition” of a symmetric indefinite matrix („Batman decomposition“ symetrické indefinitní matice; written in Czech), bachelor thesis, Faculty of Education, Technical University of Liberec, 2018 (51 pages).
Thesis J. Žáková: Tensor networks and hieararchical Tucker decomposition (Tenzorové sítě a hierarchický Tuckerův rozklad; written in Czech), master thesis, Faculty of Education, Technical University of Liberec, 2017 (62 pages).
• Awarded the Rector's Prize for the excellent master thesis.
Thesis M. Hejlová: Google's PageRank: Ranking of web pages and the eigenvalue problem (Google PageRank: Relevance webových stránek a problém vlastních čísel; written in Czech), bachelor thesis, Faculty of Education, Technical University of Liberec, 2015 (70 pages).
Thesis J. Žáková: Tensors and canonic tensor decompositions: Tucker decomposition (Tenzory a kanonické tenzorové rozklady: Tuckerův rozklad; written in Czech), bachelor thesis, Faculty of Education, Technical University of Liberec, 2015 (77 pages).
• Awarded the Dean's Prize for the excellent bachelor thesis.
Thesis F. Jágr: The core problem within a linear approximation problem Ax ≈ b, with the single right-hand side (Core problém v lineární aproximační úloze Ax ≈ b s jednou pravou stranou; written in Czech), bachelor thesis, Faculty of Education, Technical University of Liberec, 2015 (49 pages).
Thesis J. Ševic: Golub–Kahan bidiagonalization, its implementation, and numerical experiments (Golub–Kahanova bidiagonalizace, její implementace a numerické experimenty; written in Czech), bachelor thesis, Faculty of Mechatronics, Technical University of Liberec, 2009 (55 pages).

Theses

Thesis M. Plešinger: Matrix and Tensor Computations. Analysis and Applications (Maticové a tenzorové výpočty. Analýza a aplikace; collection of published papers with Czech commentary), habilitation thesis, Faculty of Electrical Engineering and Computer Science, VŠB–Technical University of Ostrava, 2016 (xiv+199 pages), defended on May 9, 2018.
• Referee reports by I. Pultarová (FSV, ČVUT/CTU); G. Okša (Institute of Mathematics, SAS); and R. Blaheta (ÚGN, AV ČR). • Report of the habilitation committee.
Thesis M. Plešinger: The total least squares problem and reduction of data in AX ≈ B, doctoral thesis, Faculty of Mechatronics and Interdiciplinary Engineering Studies, Technical University of Liberec, and Institute of Computer Science, Academy of Sciences of the Czech Republic, 2008 (xx+146 pages), advisor Z. Strakoš.
• Referee reports by E. J. Duintjer Tebbens (ICS, AS CR); D. M. Sima (ESAT, KU Leuven); and J. Antoch (MFF, CU Prague; written in Czech). • Awarded the Jiří Zelenka Prize of Technical University of Liberec for the excellent doctoral thesis. • Printed version available on the request from the author.
Thesis M. Plešinger: Selected numerical linear algebra problems in control theory (Vybrané problémy numerické lineární algebry v teorii řízení; written in Czech), master thesis, Faculty of Mechatronics and Interdiciplinary Engineering Studies, Technical University of Liberec, 2004 (75 pages), supervisor Z. Strakoš.
Thesis M. Plešinger: Simulation of turonian aquifer remediation process (Model sanace turonské zvodně; written in Czech), school research project, Faculty of Mechatronics and Interdiciplinary Engineering Studies, Technical University of Liberec, in cooperation with Mahtemetical Modeling Research Center, DIAMO, state enterprise, 2002–3 (viii+78 pages), supervisor J. Novák.

Editorial work

Thesis M. Hokr, M. Plešinger, J. Šembera (editors): SiMoNA 2009: Simulation, modelling, and miscellaneous applications (SiMoNA 2009: Simulace, modelování a nejrůznější aplikace; written mostly in Czech, partially in English, and Slovak), proceedings of SiMoNA 2009 workshop, Faculty of Mechatronics, Technical University of Liberec, 2009 (196 pages, ISBN 978-80-7372-543-3).
 
 

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