Perturbation bounds of unitary and subunitary polar factors

doi:10.1137/S0895479801394623

科研成果详情

发表状态	已发表Published
题名	Perturbation bounds of unitary and subunitary polar factors
作者	Li, Wen; Sun, Weiwei
发表日期	2002
发表期刊	SIAM Journal on Matrix Analysis and Applications
ISSN/eISSN	0895-4798
卷号	23 期号:4 页码:1183-1193
摘要	In this paper, we present some new perturbation bounds for (generalized) polar decompositions under the Frobenius norm for both complex and real matrices. For subunitary polar factors, we show that our bounds always improve the existing bounds. Based on some interesting properties of the matrix equation W + W* = W*W, some new bounds involving both the Frobenius norm and the spectral norm of the perturbation are given. The optimality of bounds is discussed.
关键词	Generalized polar decomposition Perturbation bound Singular value
DOI	10.1137/S0895479801394623
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:000175811000017
引用统计	被引频次：30[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/3297
专题	个人在本单位外知识产出
通讯作者	Li, Wen
作者单位	Research Center for Science, Xi'an Jiaotong University, Xi'an 710049, China
推荐引用方式 GB/T 7714	Li, Wen,Sun, Weiwei. Perturbation bounds of unitary and subunitary polar factors[J]. SIAM Journal on Matrix Analysis and Applications, 2002, 23(4): 1183-1193.
APA	Li, Wen, & Sun, Weiwei. (2002). Perturbation bounds of unitary and subunitary polar factors. SIAM Journal on Matrix Analysis and Applications, 23(4), 1183-1193.
MLA	Li, Wen,et al."Perturbation bounds of unitary and subunitary polar factors". SIAM Journal on Matrix Analysis and Applications 23.4(2002): 1183-1193.