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Perturbation bounds for weighted polar decomposition in the weighted unitarily invariant norm.
- Source :
- Numerical Linear Algebra with Applications; Oct2008, Vol. 15 Issue 8, p685-700, 16p
- Publication Year :
- 2008
-
Abstract
- In this paper, by generalizing the ideas of the (generalized) polar decomposition to the weighted polar decomposition and the unitarily invariant norm to the weighted unitarily invariant norm, we present some perturbation bounds for the generalized positive polar factor, generalized nonnegative polar factor, and weighted unitary polar factor of the weighted polar decomposition in the weighted unitarily invariant norm. These bounds extend the corresponding recent results for the (generalized) polar decomposition. In addition, we also give the comparison between the two perturbation bounds for the generalized positive polar factor obtained from two different methods. Copyright © 2008 John Wiley & Sons, Ltd. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10705325
- Volume :
- 15
- Issue :
- 8
- Database :
- Complementary Index
- Journal :
- Numerical Linear Algebra with Applications
- Publication Type :
- Academic Journal
- Accession number :
- 34428097
- Full Text :
- https://doi.org/10.1002/nla.591