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Some New Perturbation Bounds for the Generalized Polar Decomposition
Authors:Xiao-shan Chen  Wen Li  Weiwei Sun
Affiliation:(1) Department of Mathematics, South China Normal University, Guangzhou, 510631, P.R, China
Abstract:The changes in the unitary polar factor under both multiplicative and additive perturbation are studied. A multiplicative perturbation bound and a new additive perturbation bound, in which a different measure of perturbation is introduced, are presented.
Keywords:generalized polar decomposition  perturbation bound  subunitary polar factor
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