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A NOTE ON BACKWARD ERROR ANALYSIS OF THE GENERALIZED SINGULAR VALUE DECOMPOSITION.

Authors :
Xiao-Shan Chen
Wen Li
Source :
SIAM Journal on Matrix Analysis & Applications. 2008, Vol. 30 Issue 4, p1358-1370. 13p.
Publication Year :
2008

Abstract

In terms of the generalized singular value decomposition, we define the generalized singular matrix sets and their backward errors. The explicit expressions of backward errors are derived, which extend a result of Sun [SIAM J. Matrix Anal. Appl., 22 (2000), pp. 323-341]. The results are illustrated by a numerical example. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
08954798
Volume :
30
Issue :
4
Database :
Academic Search Index
Journal :
SIAM Journal on Matrix Analysis & Applications
Publication Type :
Academic Journal
Accession number :
36333953
Full Text :
https://doi.org/10.1137/070703351