New Perturbation Bounds for Nonnegative and Positive Polar Factors
نویسندگان
چکیده
The changes in the nonnegative and positive polar factors of generalized polar decomposition and polar decomposition are studied under the additive perturbation. Some new perturbation bounds are obtained. These bounds are different from precious ones in form and measure and, in some cases, may be smaller than the corresponding existing ones. Furthermore, the corresponding perturbation bounds for generalized nonnegative and positive polar factors of (M,N) weighted polar decomposition are also presented as the straightforward corollaries. Mathematics subject classification (2010): 15A09, 15A45, 65F35.
منابع مشابه
Some new perturbation bounds of generalized polar decomposition
Some new perturbation bounds of the positive (semi) definite polar factor and the (sub) unitary polar factor for the (generalized) polar decomposition under the general unitarily invariant norm and the spectral norm are presented. By applying our new bounds to the weighted cases, the known perturbation bounds for the weighted polar decomposition are improved. 2014 Elsevier Inc. All rights reser...
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