PERTURBATION BOUNDS ON THE POLAR DECOMPOSITION

被引：30

作者：

BARRLUND, A ^{[1
]}

机构：

[1] UMEA UNIV,INST INFORMAT PROC,S-90187 UMEA,SWEDEN

来源：

BIT | 1990年 / 30卷 / 01期

关键词：

AMS Subject Classifications: 15A45; Perturbation bounds; Polar decomposition; Positive semidefinite; Procrustes;

D O I：

10.1007/BF01932136

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

The polar decomposition of an n ×n-matrix A takes the form A=MH where M is orthogonal and H is symmetric and positive semidefinite. This paper presents strict bounds, (with no order terms), on the perturbations ΔM, ΔH of M and H respectively, when A is perturbed by ΔA. The bounds on ΔM can also be applied to the orthogonal Procrustes problem. © 1990 BIT Foundations.

引用

页码：101 / 113

页数：13

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