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 |
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): | |
Menu | Colleagues and Collaborators (not a full list) |
• Books (in Czech) • Selected Lectures • Papers • Selected proceedings contributions • Master & bachelor students • Theses • Editorial work |
• Iveta Hnětynková • Daniel Kressner • Pavel Márton • Ivana Pultarová • Zdeněk Strakoš • Sabine Van Huffel • Jana Žáková |
M. Plešinger: Lecture notes in linear algebra in the eyes of a non-mathematician (written in Czech: Výpisky z lineární algebry očima nematematika), Karolinum, Prague, 2023 (476 pages, ISBN 978-80-246-4096-9 (printed), ISBN 978-80-246-5554-3 (e-book)). | |||||
E. J. Duintjer Tebbens, I. Hnětynková, M. Plešinger, Z. Strakoš, P. Tichý: Analysis of methods for matrix computations: Basic methods (written in Czech: Analýza metod pro maticové výpočty: Základní metody), Matfyzpress, Prague, 2012 (xvi+308 pages (1st impression), xvi+312 pages (2nd impression), ISBN 978-80-7378-201-6). | |||||
2nd modified and extended edition, Matfyzpress, Prague, 2023 (xvi+310 pages, ISBN 978-80-7378-481-2). | |||||
• Awarded the Jaroslav Jirsa Price for the best textbook in mathematics and physics:
[ JPG ],
[ JPG ]. | |||||
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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. | |||||
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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. |
P. Márton, M. A. P. Gonçalves, M. Paściak, S. Körbel, V. Chumchal, M. Plešinger, A. Klíč, J. Hlinka:
Zigzag charged domain walls in ferroelectric PbTiO3,
Physical Review B (ISSN 2469-9950 (print) 2469-9969 (online)), volume 107, issue 9 (2023), paper id 094102, pp. 1–9.
DOI: 10.1103/PhysRevB.107.094102 | |
• Preprint available: [ arXiv:2211.04828 ]. | |
I. Hnětynková, M. Plešinger, J. Žáková:
Krylov subspace approach to core problems within multilinear approximation problems: A unifying framework,
SIAM J. on Matrix Analysis and Applications (ISSN 0895-4798 (print) 1095-7162 (online)), volume 44, issue 1 (2023), pp. 53–79.
DOI: 10.1137/21M1462155 | |
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 | |
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 | |
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 | |
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 | |
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 ]. | |
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 | |
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 | |
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 | |
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 | |
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 ]. | |
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 | |
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 ]. | |
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 |
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 | |
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 | |
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. | |
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 | |
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 |
J. Lungová: Convergence of matrix-oriented Krylov-subspace methods in terms of rank (Konvergence krylovovských metod pro maticové rovnice z pohledu hodnosti; written in Czech), bachelor thesis, Faculty of Education, Technical University of Liberec, 2023 (60 pages). | |
J. Marhanová: Primes, their selected properties and applications (Prvočísla, jejich vybrané vlastnosti a aplikace; written in Czech), bachelor thesis, Faculty of Education, Technical University of Liberec, 2021 (77 pages). | |
K. Čiháčková: Nisa mechanical calculator, its history, priciples, and applications (Mechanický kalkulátor Nisa, jeho historie, konstrukce a užití; written in Czech), bachelor thesis, Faculty of Education, Technical University of Liberec, 2020 (60 pages). | |
M. Kutschkerová: Algebro-geometric approach to ruler-and-compass construction of regular polygons (Algebraicko-geometrická varianta eukleidovské konstrukce pravidelných mnohoúhelníků; written in Czech), bachelor thesis, Faculty of Education, Technical University of Liberec, 2020 (81 pages). | |
J. Šikola: Eigenvalue problem and its various generalizations (Problém vlastních čísel a jeho různá zobecnění; written in Czech), bachelor thesis, Faculty of Education, Technical University of Liberec, 2020 (65 pages). | |
B. Košková: Systems of linear equations with hierarchical matrices and solved by decompositions (Soustavy lineárních rovnic s hierarchickými maticemi řešené pomocí rozkladů; written in Czech), master thesis, Faculty of Education, Technical University of Liberec, 2020 (55 pages). | |
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). | |
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). | |
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. | |
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). | |
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. | |
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). | |
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). |
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. | |
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. | |
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. | |
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. |
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). |