Table of Contents
Advances in Numerical Analysis
Volume 2014, Article ID 576325, 5 pages
http://dx.doi.org/10.1155/2014/576325
Research Article

A Third-Order Newton-Type Method for Finding Polar Decomposition

Department of Mathematics, Islamic Azad University, Shahrekord Branch, Shahrekord, Iran

Received 30 July 2014; Accepted 17 September 2014; Published 30 September 2014

Academic Editor: Ting-Zhu Huang

Copyright © 2014 F. Khaksar Haghani. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

It is attempted to present an iteration method for finding polar decomposition. The approach is categorized in the scope of Newton-type methods. Error analysis and rate of convergence are studied. Some illustrations are also given to disclose the numerical behavior of the proposed method.