New perturbation bounds for the subunitary polar factors |
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| Authors: | Pingping Zhang Hanyu Li |
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| Institution: | College of Mathematics and Statistics , Chongqing University , Chongqing 401331 , China |
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| Abstract: | In this article, we present some new perturbation bounds for the (subunitary) unitary polar factors of the (generalized) polar decompositions. Two numerical examples are given to show the rationality and superiority of our results, respectively. In terms of the one-to-one correspondence between the weighted case and the non-weighted case, all these bounds can be applied to the weighted polar decomposition. |
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| Keywords: | polar decomposition perturbation bound weighted polar decomposition subunitary polar factor weighted unitary polar factor |
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