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Relative and Absolute Perturbation Bounds for Weighted Polar Decomposition

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  • Pingping Zhang
  • Hu Yang
  • Hanyu Li

Abstract

Some new perturbation bounds for both weighted unitary polar factors and generalized nonnegative polar factors of the weighted polar decompositions are presented without the restriction that A and its perturbed matrix A ˜ have the same rank. These bounds improve the corresponding recent results.

Suggested Citation

  • Pingping Zhang & Hu Yang & Hanyu Li, 2012. "Relative and Absolute Perturbation Bounds for Weighted Polar Decomposition," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-15, February.
    • Handle: RePEc:hin:jnljam:219025
    DOI: 10.1155/2012/219025
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