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New multiplicative perturbation bounds for the generalized polar decomposition

Author

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  • Liu, Na
  • Luo, Wei
  • Xu, Qingxiang

Abstract

Some new Frobenius norm bounds of the unique solution to certain structured Sylvester equation are derived. Based on the derived norm upper bounds, new multiplicative perturbation bounds are provided both for subunitary polar factors and positive semi-definite polar factors. Some previous results are then improved.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:apmaco:v:339:y:2018:i:c:p:259-271
    DOI: 10.1016/j.amc.2018.07.023
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    Cited by:

    1. 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).
    2. Fu, Chunhong & Chen, Jiajia & Xu, Qingxiang, 2021. "Upper bounds and lower bounds for the Frobenius norm of the solution to certain structured Sylvester equation," Applied Mathematics and Computation, Elsevier, vol. 399(C).

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