## Journal of Applied Mathematics

### Relative and Absolute Perturbation Bounds for Weighted Polar Decomposition

#### 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 $\widetilde{A}$ have the same rank. These bounds improve the corresponding recent results.

#### Article information

Source
J. Appl. Math., Volume 2012 (2012), Article ID 219025, 15 pages.

Dates
First available in Project Euclid: 14 December 2012

https://projecteuclid.org/euclid.jam/1355495062

Digital Object Identifier
doi:10.1155/2012/219025

Mathematical Reviews number (MathSciNet)
MR2889119

Zentralblatt MATH identifier
1238.65020

#### Citation

Zhang, Pingping; Yang, Hu; Li, Hanyu. Relative and Absolute Perturbation Bounds for Weighted Polar Decomposition. J. Appl. Math. 2012 (2012), Article ID 219025, 15 pages. doi:10.1155/2012/219025. https://projecteuclid.org/euclid.jam/1355495062