An optimal perturbation bound for the partial isometry associated to the generalized polar decomposition
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摘要
In terms of singular values and determinants, a new perturbation bound for partial isometry polar factor is derived and is proved to be optimal. The sharpness of this newly obtained perturbation bound is illustrated by numerical tests.
论文关键词：Generalized polar decomposition,Partial isometry,Multiplicative perturbation,Frobenius norm
论文评审过程：Received 20 August 2019, Revised 28 November 2019, Accepted 15 December 2019, Available online 2 January 2020, Version of Record 2 January 2020.
论文官网地址：https://doi.org/10.1016/j.amc.2019.124987
