Some remarks on the perturbation of polar decompositions for rectangular matrices

doi:10.1002/nla.463

科研成果详情

发表状态	已发表Published
题名	Some remarks on the perturbation of polar decompositions for rectangular matrices
作者	Li, Wen 1; Sun, Weiwei2
发表日期	2006
发表期刊	Numerical Linear Algebra with Applications
ISSN/eISSN	1070-5325
卷号	13 期号:4 页码:327-338
摘要	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.
关键词	Perturbation bound Polar decomposition Unitarily invariant norm
DOI	10.1002/nla.463
URL	查看来源
收录类别	SCIE
语种	英语English
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000237474500003
引用统计	被引频次：13[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	https://repository.uic.edu.cn/handle/39GCC9TT/3280
专题	个人在本单位外知识产出
通讯作者	Li, Wen
作者单位	1.School of Mathematics Science, South China Normal University, Guangzhou, 510631, China 2.Department of Mathematics, City University of Hong Kong, Hong Kong, Hong Kong
推荐引用方式 GB/T 7714	Li, Wen,Sun, Weiwei. Some remarks on the perturbation of polar decompositions for rectangular matrices[J]. Numerical Linear Algebra with Applications, 2006, 13(4): 327-338.
APA	Li, Wen, & Sun, Weiwei. (2006). Some remarks on the perturbation of polar decompositions for rectangular matrices. Numerical Linear Algebra with Applications, 13(4), 327-338.
MLA	Li, Wen,et al."Some remarks on the perturbation of polar decompositions for rectangular matrices". Numerical Linear Algebra with Applications 13.4(2006): 327-338.