The iterative methods for computing the polar decomposition of rank-deficient matrix

被引：7
|
作者：
Du, K [1 ]
机构：
[1] Fudan Univ, Inst Math, Shanghai 200433, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2005年 / 162卷 / 01期
基金：
中国国家自然科学基金;
关键词：
polar decomposition; singular value decomposition; Newton method; matrix sign function;
D O I：
10.1016/j.amc.2003.12.083
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Some iterative methods for computing the polar decomposition are introduced. They can be used to compute the polar decomposition of rank-deficient matrix which includes both square and rectangular matrices. A very important application of the polar decomposition is about matrix sign function. Through the methods of this paper to compute the matrix sign function is convenient. Some examples are provided in this paper. (C) 2004 Elsevier Inc. All rights reserved.
引用
收藏
页码：95 / 102
页数：8
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