A sixth-order iterative method for approximating the polar decomposition of an arbitrary matrix*

被引：5

作者：

Cordero, Alicia ^{[1
]}

Torregrosa, Juan R. ^{[1
]}

机构：

[1] Univ Politecn Valencia, Inst Univ Matemat Multidisciplinar, Valencia, Spain

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2017年 / 318卷

关键词：

Polar decomposition; Singular value decomposition; Matrix iteration; Unitary factor; Hermitian matrix; Iterative method;

D O I：

10.1016/j.cam.2015.12.006

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A new iterative method for computing the polar decomposition of any rectangular complex matrix is presented and analyzed. The study of the convergence shows that this method has order of convergence six. Some numerical tests confirm the theoretical results and allow us to compare the proposed iterative scheme with other known ones. (C) 2015 Elsevier B.V. All rights reserved.

引用

页码：591 / 598

页数：8

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