The total least squares problem in AX~B: A new classification with the relationship to the classical works
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F11%3A10103996" target="_blank" >RIV/00216208:11320/11:10103996 - isvavai.cz</a>
Result on the web
<a href="http://epubs.siam.org/simax/resource/1/sjmael/v32/i3/p748_s1" target="_blank" >http://epubs.siam.org/simax/resource/1/sjmael/v32/i3/p748_s1</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1137/100813348" target="_blank" >10.1137/100813348</a>
Alternative languages
Result language
angličtina
Original language name
The total least squares problem in AX~B: A new classification with the relationship to the classical works
Original language description
The paper investigates the analysis of the total least squares (TLS) problem with multiple right-hand sides. It reviews the classical analysis of the existence and uniqueness of the TLS solution given by Sabine Van Huffel and Joos Vandewalle, SIAM Publications, Philadelphia, 1991. This analysis, unfortunately, does not cover all the situations that can occur in the multiple right-hand side case. This paper introduces a new complete classification of all linear approximation problems with multiple right-hand sides of the form AX~B which is based on properties of singular value decomposition of the extended matrix [B|A].
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/GA201%2F09%2F0917" target="_blank" >GA201/09/0917: Mathematical and computer analysis of the evolution processes in nonlinear viscoelastic fluid-like materials</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
2011
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
SIAM Journal on Matrix Analysis and Applications
ISSN
0895-4798
e-ISSN
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Volume of the periodical
32
Issue of the periodical within the volume
3
Country of publishing house
US - UNITED STATES
Number of pages
23
Pages from-to
748-770
UT code for WoS article
000295399200005
EID of the result in the Scopus database
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