Search results
- 1.0504412 - ÚI 2020 RIV CZ eng J - Journal Article
Hnětynková, I. - Plešinger, Martin - Žáková, J.
Solvability Classes for Core Problems in Matrix Total Least Squares Minimization.
Applications of Mathematics. Roč. 64, č. 2 (2019), s. 103-128. ISSN 0862-7940. E-ISSN 1572-9109
Grant - others:GA ČR(CZ) GC17-04150J
Institutional support: RVO:67985807
Keywords : linear approximation problem * core problem theory * total least squares * classification * (ir)reducible problem
OECD category: Applied mathematics
Impact factor: 0.544, year: 2019
Method of publishing: Open access with time embargo
Permanent Link: http://hdl.handle.net/11104/0296053File Download Size Commentary Version Access 0504412-a.pdf 3 256.7 KB Embargo do 19. 2. 2021. Publisher’s postprint open-access - 2.0467970 - ÚI 2017 RIV US eng J - Journal Article
Hnětynková, Iveta - Plešinger, M. - Sima, D.M.
Solvability of the Core Problem with Multiple Right-Hand Sides in the TLS Sense.
SIAM Journal on Matrix Analysis and Applications. Roč. 37, č. 3 (2016), s. 861-876. ISSN 0895-4798. E-ISSN 1095-7162
R&D Projects: GA ČR GA13-06684S
Institutional support: RVO:67985807
Keywords : total least squares (TLS) problem * multiple right-hand sides * core problem * linear approximation problem * error-in-variables modeling * orthogonal regression * classical TLS algorithm
Subject RIV: BA - General Mathematics
Impact factor: 2.194, year: 2016
Permanent Link: http://hdl.handle.net/11104/0265909File Download Size Commentary Version Access a0467970.pdf 16 226.4 KB Publisher’s postprint require - 3.0446564 - ÚI 2016 RIV US eng J - Journal Article
Hnětynková, Iveta - Plešinger, M. - Strakoš, Z.
Band Generalization of the Golub-Kahan Bidiagonalization, Generalized Jacobi Matrices, and the Core Problem.
SIAM Journal on Matrix Analysis and Applications. Roč. 36, č. 2 (2015), s. 417-434. ISSN 0895-4798. E-ISSN 1095-7162
R&D Projects: GA ČR GA13-06684S
Grant - others:GA MŠk(CZ) EE2.3.30.0065; GA MŠk(CZ) LL1202
Keywords : total least squares problem * multiple right-hand sides * core problem * Golub-Kahan bidiagonalization * generalized Jacobi matrices
Subject RIV: BA - General Mathematics
Impact factor: 1.883, year: 2015
Permanent Link: http://hdl.handle.net/11104/0248548File Download Size Commentary Version Access a0446564.pdf 12 281.3 KB Publisher’s postprint require - 4.0431496 - ÚI 2015 GB eng A - Abstract
Hnětynková, Iveta - Plešinger, Martin - Strakoš, Zdeněk
Enhanced analysis of solvability of TLS problems with multiple right-hand sides.
4th IMA International Conference on Numerical Linear Algebra and Optimisation. Abstracs book and delegate list. 2014. s. 7-8.
[IMA International Conference on Numerical Linear Algebra and Optimisation /4./. 03.09.2014-05.09.2014, Birmingham]
Institutional support: RVO:67985807
Keywords : linear approximation problem * TLS * core problem
Subject RIV: BA - General Mathematics
Permanent Link: http://hdl.handle.net/11104/0236100 - 5.0426569 - ÚI 2014 RIV US eng J - Journal Article
Hnětynková, Iveta - Plešinger, Martin - Strakoš, Z.
The Core Problem within a Linear Approximation Problem $AX/approx B$ with Multiple Right-Hand Sides.
SIAM Journal on Matrix Analysis and Applications. Roč. 34, č. 3 (2013), s. 917-931. ISSN 0895-4798. E-ISSN 1095-7162
R&D Projects: GA ČR GA13-06684S
Grant - others:GA ČR(CZ) GA201/09/0917; GA MŠk(CZ) EE2.3.09.0155; GA MŠk(CZ) EE2.3.30.0065
Program: GA
Institutional support: RVO:67985807
Keywords : total least squares problem * multiple right-hand sides * core problem * linear approximation problem * error-in-variables modeling * orthogonal regression * singular value decomposition
Subject RIV: BA - General Mathematics
Impact factor: 1.806, year: 2013
Permanent Link: http://hdl.handle.net/11104/0232296 - 6.0404268 - UIVT-O 20020015 RIV DE eng C - Conference Paper (international conference)
Paige, C. C. - Strakoš, Zdeněk
Unifying Least Squares, Total Least Squares and Data Least Squares.
Total Least Squares and Errors-in-Variables. Modelling: Analysis, Algorithms and Applications. Dordrecht: Kluwer Academic Publishers, 2002 - (van Huffel, S.; Lemmerling, P.), s. 25-34. ISBN 1-4020-0476-1.
[International Workshop on TLS and Errore-in-Variables Modelling. Leuven (BE), 27.08.2001-29.08.2001]
R&D Projects: GA AV ČR IAA2030801
Grant - others:NSERC(CA) OGP0009236
Institutional research plan: AV0Z1030915
Keywords : scaled total least squares * ordinary least squares * data least squares * core problem * orthogonal reduction * singular value decomposition
Subject RIV: BA - General Mathematics
Permanent Link: http://hdl.handle.net/11104/0124531 - 7.0403906 - UIVT-O 20020004 RIV DE eng J - Journal Article
Paige, Ch. - Strakoš, Zdeněk
Scaled Total Least Squares Fundamentals.
Numerische Mathematik. Roč. 91, - (2002), s. 117-146. ISSN 0029-599X. E-ISSN 0945-3245
Grant - others:NSERC(CA) OGP0009236
Institutional research plan: AV0Z1030915
Keywords : overdetermined inconsistent linear systems * scaled total least squares * existence and uniqueness * bidiagonalization * core problem
Subject RIV: BA - General Mathematics
Impact factor: 1.239, year: 2002
Permanent Link: http://hdl.handle.net/11104/0124193 - 8.0319184 - ÚI 2009 JP eng A - Abstract
Strakoš, Zdeněk
Numerical Linear Algebra and Some Problems in Computational Statistics.
[Numerická lineární algebra a některé problémy ve výpočetní statistice.]
Program and Abstracts of IASC 2008. Tokyo: Japanese Society of Computational Statistics, 2008 - (Mizuta, M.; Nakano, J.). s. 267-267. ISBN 978-4-9904445-0-1.
[IASC 2008. 05.12.2008-08.12.2008, Yokohama]
R&D Projects: GA AV ČR IAA100300802
Institutional research plan: CEZ:AV0Z10300504
Keywords : moments * ordinary least squares * total least squares * errors-in-variables modeling * core problem theory * orthogonal bidiagonalization * orthogonality
Subject RIV: BB - Applied Statistics, Operational Research
Permanent Link: http://hdl.handle.net/11104/0168412 - 9.0319059 - ÚI 2009 RIV DE eng J - Journal Article
Fiedler, Miroslav
The development of Linear Algebra in Czechia.
[Vývoj lineární algebry v Česku.]
IMAGE. -, č. 41 (2008), s. 18-20
Institutional research plan: CEZ:AV0Z10300504
Keywords : moments * errors-in-variables modeling * core problem theory * orthogonal bidiagonalization
Subject RIV: BA - General Mathematics
http://www.ilasic.math.uregina.ca/iic/IMAGE/IMAGES/image41.pdf
Permanent Link: http://hdl.handle.net/11104/0168319 - 10.0317559 - ÚI 2009 RIV JP eng C - Conference Paper (international conference)
Strakoš, Zdeněk
Numerical Linear Algebra and Some Problems in Computational Statistics.
[Numerická lineární algebra a některé problémy ve výpočetní statistice.]
Proceedings of IASC 2008. Tokyo: Japanese Society of Computational Statistics, 2008 - (Mizuta, M.; Nakano, J.), s. 1469-1478. ISBN 978-4-9904445-1-8.
[IASC 2008. Yokohama (JP), 05.12.2008-08.12.2008]
R&D Projects: GA AV ČR IAA100300802
Institutional research plan: CEZ:AV0Z10300504
Keywords : moments * ordinary least squares * total least squares * errors-in-variables modeling * core problem theory * orthogonal bidiagonalization * orthogonality
Subject RIV: BB - Applied Statistics, Operational Research
Permanent Link: http://hdl.handle.net/11104/0167172