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An Ulm-like method for inverse singular value problems
Vong S.-W.1; Bai Z.-J.2; Jin X.-Q.1
2011-08-15
Source PublicationSIAM Journal on Matrix Analysis and Applications
ISSN08954798 10957162
Volume32Issue:2Pages:412-429
Abstract

In this paper, an Ulm-like method is proposed for solving inverse singular value problems. This method has an advantage over Newton's methods since it avoids solving approximate Jacobian equations. Under some mild assumptions, we show that the proposed method converges at least quadratically in the root sense. Our numerical tests, based on comparison with the inexact Newton method given by Bai and Xu [Linear Algebra Appl., 429(2008), pp. 527-547], demonstrate the effectiveness of the new method. © 2011 Society for Industrial and Applied Mathematics.

KeywordInverse Singular Value Problem Newton Method Ulm-like Method
DOI10.1137/100815748
URLView the original
Indexed BySCI
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000292817800005
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Citation statistics
Cited Times [WOS]:14   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionDEPARTMENT OF MATHEMATICS
Affiliation1.Department of Mathematics, University of Macau, Macau, People’s Republic of China
2.School of Mathematical Sciences, Xiamen University, Xiamen 361005, People’s Republic of China
First Author AffilicationUniversity of Macau
Recommended Citation
GB/T 7714
Vong S.-W.,Bai Z.-J.,Jin X.-Q.. An Ulm-like method for inverse singular value problems[J]. SIAM Journal on Matrix Analysis and Applications,2011,32(2):412-429.
APA Vong S.-W.,Bai Z.-J.,&Jin X.-Q..(2011).An Ulm-like method for inverse singular value problems.SIAM Journal on Matrix Analysis and Applications,32(2),412-429.
MLA Vong S.-W.,et al."An Ulm-like method for inverse singular value problems".SIAM Journal on Matrix Analysis and Applications 32.2(2011):412-429.
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