New perturbation bounds for unitary polar factors

doi:10.1137/S0895479802413625

科研成果详情

发表状态	已发表Published
题名	New perturbation bounds for unitary polar factors
作者	Li, Wen 1; Sun, Weiwei2
发表日期	2004
发表期刊	SIAM Journal on Matrix Analysis and Applications
ISSN/eISSN	0895-4798
卷号	25 期号:2 页码:362-372
摘要	In this paper, we present some new perturbation bounds for polar decompositions in the Frobenius norm. We prove that under any active condition of the perturbation being small, our bounds always improve previous bounds. Some perturbation bounds in the spectral norm and general unitarily invariant norms are also given.
关键词	Perturbation bound Polar decomposition Singular value decomposition
DOI	10.1137/S0895479802413625
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
WOS记录号	WOS:000187741800003
引用统计	被引频次：24[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/3289
专题	个人在本单位外知识产出
通讯作者	Li, Wen
作者单位	1.Department of Mathematics, 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. New perturbation bounds for unitary polar factors[J]. SIAM Journal on Matrix Analysis and Applications, 2004, 25(2): 362-372.
APA	Li, Wen, & Sun, Weiwei. (2004). New perturbation bounds for unitary polar factors. SIAM Journal on Matrix Analysis and Applications, 25(2), 362-372.
MLA	Li, Wen,et al."New perturbation bounds for unitary polar factors". SIAM Journal on Matrix Analysis and Applications 25.2(2004): 362-372.