Some new perturbation bounds of generalized polar decomposition

被引：5
|
作者：
Hong, Xiaoli [1 ]
Meng, Lingsheng [1 ]
Zheng, Bing [1 ]
机构：
[1] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 233卷
基金：
中国国家自然科学基金;
关键词：
Perturbation bounds; Positive semidefinite polar factor; Subunitary polar factor; Generalized polar decomposition; Weighted polar decomposition; Unitarily invariant norm; Spectral norm; MATRICES; UNITARY;
D O I：
10.1016/j.amc.2014.02.013
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Some new perturbation bounds of the positive (semi) definite polar factor and the (sub) unitary polar factor for the (generalized) polar decomposition under the general unitarily invariant norm and the spectral norm are presented. By applying our new bounds to the weighted cases, the known perturbation bounds for the weighted polar decomposition are improved. (C) 2014 Elsevier Inc. All rights reserved.
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页码：430 / 438
页数：9
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