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An optimal perturbation bound for the partial isometry associated to the generalized polar decomposition

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  • Fu, Chunhong
  • Xu, Qingxiang

Abstract

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.

Suggested Citation

  • Fu, Chunhong & Xu, Qingxiang, 2020. "An optimal perturbation bound for the partial isometry associated to the generalized polar decomposition," Applied Mathematics and Computation, Elsevier, vol. 372(C).
  • Handle: RePEc:eee:apmaco:v:372:y:2020:i:c:s0096300319309798
    DOI: 10.1016/j.amc.2019.124987
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    References listed on IDEAS

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    1. Liu, Na & Luo, Wei & Xu, Qingxiang, 2018. "New multiplicative perturbation bounds for the generalized polar decomposition," Applied Mathematics and Computation, Elsevier, vol. 339(C), pages 259-271.
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    Cited by:

    1. Du, Dingyi & Fu, Chunhong & Xu, Qingxiang, 2024. "Some remarks on the norm upper bounds associated with the generalized polar decompositions of matrices," Applied Mathematics and Computation, Elsevier, vol. 466(C).

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