About: On Solution of Total Least Squares Problems with Multiple Right-hand Sides

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	Consider a linear approximation problem AXB with multiple right-hand sides. When errors in the data are confirmed both to B and A, the total least squares (TLS) concept is used to solve this problem. Contrary to the standard least squares approximation problem, a solution of the TLS problem may not exist. For a single (vector) right-hand side, the classical theory has been developed by G.H. Golub, C.F. Van Loan (1980), and S. Van Huffel, J. Vandewalle (1991), and then complemented recently by the core problem approach of C.C. Paige, Z. Strakoš (2002, 2006). Analysis of the problem with multiple right-hand sides is still under development. In this short contribution we present conditions for the existence of a TLS solution. Consider a linear approximation problem AXB with multiple right-hand sides. When errors in the data are confirmed both to B and A, the total least squares (TLS) concept is used to solve this problem. Contrary to the standard least squares approximation problem, a solution of the TLS problem may not exist. For a single (vector) right-hand side, the classical theory has been developed by G.H. Golub, C.F. Van Loan (1980), and S. Van Huffel, J. Vandewalle (1991), and then complemented recently by the core problem approach of C.C. Paige, Z. Strakoš (2002, 2006). Analysis of the problem with multiple right-hand sides is still under development. In this short contribution we present conditions for the existence of a TLS solution. (en)
Title	On Solution of Total Least Squares Problems with Multiple Right-hand Sides On Solution of Total Least Squares Problems with Multiple Right-hand Sides (en)
skos:prefLabel	On Solution of Total Least Squares Problems with Multiple Right-hand Sides On Solution of Total Least Squares Problems with Multiple Right-hand Sides (en)
skos:notation	RIV/67985807:_____/08:00329233!RIV10-AV0-67985807
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(IAA100300802), Z(AV0Z10300504), Z(MSM0021620839)
http://linked.open...iv/cisloPeriodika	1
http://linked.open...vai/riv/dodaniDat	2010
http://linked.open...aciTvurceVysledku	Strakoš, Zdeněk Hnětynková, Iveta Plešinger, Martin
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Ústav informatiky AV ČR, v. v. i.
http://linked.open...dnocenehoVysledku	384673
http://linked.open...ai/riv/idVysledku	RIV/67985807:_____/08:00329233
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	total least squares problem; multiple right-hand sides; linear approximation problem (en)
http://linked.open.../riv/klicoveSlovo	linear approximation problem total least squares problem multiple right-hand sides
http://linked.open...odStatuVydavatele	DE - Spolková republika Německo
http://linked.open...ontrolniKodProRIV	[C2B64AB040A5]
http://linked.open...i/riv/nazevZdroje	Proceedings in Applied Mathematics and Mechanics
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	3 (xsd:int)
http://linked.open...cetTvurcuVysledku	3 (xsd:int)
http://linked.open...vavai/riv/projekt	Theory of Krylov subspace methods and its relationship to other mathematical disciplines
http://linked.open...UplatneniVysledku	2008
http://linked.open...v/svazekPeriodika	8
http://linked.open...iv/tvurceVysledku	Strakoš, Zdeněk Plešinger, Martin Hnětynková, Iveta
http://linked.open...n/vavai/riv/zamer	Informatika pro informační společnost: modely, algoritmy, aplikace Metody moderní matematiky a jejich aplikace
issn	1617-7061
number of pages	2 (xsd:int)
is http://linked.open...avai/riv/vysledek of	On Solution of Total Least Squares Problems with Multiple Right-hand Sides On Solution of Total Least Squares Problems with Multiple Right-hand Sides On Solution of Total Least Squares Problems with Multiple Right-hand Sides On Solution of Total Least Squares Problems with Multiple Right-hand Sides

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