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Multiplicative perturbation bounds for spectral and singular value decompositions

โœ Scribed by Wen Li

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
159 KB
Volume
217
Category
Article
ISSN
0377-0427

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โœฆ Synopsis

Let H be a Hermitian matrix, and H = D * H D be its perturbed matrix. In this paper, the multiplicative perturbations for both spectral decompositions and singular value decompositions are studied and some new perturbation bounds for these decompositions are presented. Our results improve some existing bounds.

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