On Solution of Total Least Squares Problems with Multiple Right-hand Sides
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F08%3A00206317" target="_blank" >RIV/00216208:11320/08:00206317 - isvavai.cz</a>
Alternative codes found
RIV/67985807:_____/08:00329233
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
On Solution of Total Least Squares Problems with Multiple Right-hand Sides
Original language description
Consider a linear approximation problem AX~B 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 approximationproblem, 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 coreproblem 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.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/IAA100300802" target="_blank" >IAA100300802: Theory of Krylov subspace methods and its relationship to other mathematical disciplines</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2008
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
PAMM - Proceedings in Applied Mathematics and Mechanics
ISSN
1617-7061
e-ISSN
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Volume of the periodical
8
Issue of the periodical within the volume
1
Country of publishing house
US - UNITED STATES
Number of pages
2
Pages from-to
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UT code for WoS article
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EID of the result in the Scopus database
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