Perturbation bounds for weighted polar decomposition in the weighted unitarily invariant norm |
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Authors: | Hu Yang Hanyu Li |
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Institution: | College of Mathematics and Physics, Chongqing University, Chongqing 400030, People's Republic of China |
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Abstract: | In this paper, by generalizing the ideas of the (generalized) polar decomposition to the weighted polar decomposition and the unitarily invariant norm to the weighted unitarily invariant norm, we present some perturbation bounds for the generalized positive polar factor, generalized nonnegative polar factor, and weighted unitary polar factor of the weighted polar decomposition in the weighted unitarily invariant norm. These bounds extend the corresponding recent results for the (generalized) polar decomposition. In addition, we also give the comparison between the two perturbation bounds for the generalized positive polar factor obtained from two different methods. Copyright © 2008 John Wiley & Sons, Ltd. |
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Keywords: | weighted polar decomposition generalized positive polar factor generalized nonnegative polar factor weighted unitary polar factor weighted unitarily invariant norm |
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