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Perturbation bounds for constrained and weighted linear least squares problems
M.Gulliksson1; Xiao-Qing Jin2; Yi-Min Wei3
2002-02-01
Source PublicationLINEAR ALGEBRA AND ITS APPLICATIONS
Volume349Issue:1-3Pages:221-232
Abstract

We derive perturbation bounds for the constrained and weighted linear least squares (LS) problems. Both the full rank and rank-deficient cases are considered. The analysis generalizes some results of earlier works.

KeywordLinear Ls Problem Constraint Condition Number (Weighted) Moore–penrose Inverse Perturbation Bound Weight
DOI10.1016/S0024-3795(02)00262-8
Indexed BySCIE
Language英語English
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000175946900013
PublisherELSEVIER SCIENCE INC
Scopus ID2-s2.0-31244432352
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Citation statistics
Document TypeJournal article
CollectionFaculty of Science and Technology
DEPARTMENT OF MATHEMATICS
Corresponding AuthorXiao-Qing Jin
Affiliation1.Department of Physics and Mathematics, Mid Sweden University, S-851 70, Sweden
2.Faculty of Science and Technology, University of Macau, Macau, China
3.Department of Mathematics, Fudan University, Shanghai 200433, China
Corresponding Author AffilicationFaculty of Science and Technology
Recommended Citation
GB/T 7714
M.Gulliksson,Xiao-Qing Jin,Yi-Min Wei. Perturbation bounds for constrained and weighted linear least squares problems[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2002, 349(1-3), 221-232.
APA M.Gulliksson., Xiao-Qing Jin., & Yi-Min Wei (2002). Perturbation bounds for constrained and weighted linear least squares problems. LINEAR ALGEBRA AND ITS APPLICATIONS, 349(1-3), 221-232.
MLA M.Gulliksson,et al."Perturbation bounds for constrained and weighted linear least squares problems".LINEAR ALGEBRA AND ITS APPLICATIONS 349.1-3(2002):221-232.
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