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A backward error for the inverse singular value problem

✍ Scribed by Xiao Shan Chen

Publisher: Elsevier Science
Year: 2010
Tongue: English
Weight: 263 KB
Volume: 234
Category: Article
ISSN: 0377-0427
DOI: 10.1016/j.cam.2010.03.003

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✦ Synopsis

a b s t r a c t A backward error for inverse singular value problems with respect to an approximate solution is defined, and an explicit expression for the backward error is derived by extending the approach described in [J.G. Sun, Backward errors for the inverse eigenvalue problem, Numer. Math. 82 (1999) 339-349]. The expression may be useful for testing the stability of practical algorithms.

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