Some remarks on the perturbation of polar decompositions for rectangular matrices
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Author(s)
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Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 327-338 |
| Journal / Publication | Numerical Linear Algebra with Applications |
| Volume | 13 |
| Issue number | 4 |
| Publication status | Published - May 2006 |
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Abstract
In this article we focus on perturbation bounds of unitary polar factors in polar decompositions for rectangular matrices. First we present two absolute perturbation bounds in unitarily invariant norms and in spectral norm, respectively, for any rectangular complex matrices, which improve recent results of Li and Sun (SIAM J. Matrix Anal. Appl. 2003; 25:362-372). Secondly, a new absolute bound for complex matrices of full rank is given. When ||A - Ã||2 ≪ || A - Ã||F, our bound for complex matrices is the same as in real case. Finally, some asymptotic bounds given by Mathias (SIAM J. Matrix Anal. Appl. 1993; 14:588-593) for both real and complex square matrices are generalized. Copyright © 2005 John Wiley & Sons, Ltd.
Research Area(s)
- Perturbation bound, Polar decomposition, Unitarily invariant norm
Citation Format(s)
Some remarks on the perturbation of polar decompositions for rectangular matrices. / Li, Wen; Sun, Weiwei.
In: Numerical Linear Algebra with Applications, Vol. 13, No. 4, 05.2006, p. 327-338.
In: Numerical Linear Algebra with Applications, Vol. 13, No. 4, 05.2006, p. 327-338.
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
