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Discrete Dynamics in Nature and Society
Volume 2015, Article ID 649423, 11 pages
http://dx.doi.org/10.1155/2015/649423
Research Article

A Novel Iterative Method for Polar Decomposition and Matrix Sign Function

1Department of Mathematics, Islamic Azad University, Zahedan Branch, Zahedan, Iran
2Faculty of Sciences and Mathematics, University of Niš, Visegradska 33, 18000 Niš, Serbia
3Faculty of Computer Science, Goce Delčev University, Goce Delčev 89, 2000 Štip, Macedonia

Received 3 April 2015; Accepted 21 June 2015

Academic Editor: Gian I. Bischi

Copyright © 2015 F. Soleymani et al. 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

We define and investigate a globally convergent iterative method possessing sixth order of convergence which is intended to calculate the polar decomposition and the matrix sign function. Some analysis of stability and computational complexity are brought forward. The behaviors of the proposed algorithms are illustrated by numerical experiments.