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Abstract and Applied Analysis
Volume 2014 (2014), Article ID 563787, 7 pages
http://dx.doi.org/10.1155/2014/563787
Research Article

A New Iterative Method for Finding Approximate Inverses of Complex Matrices

1Department of Applied Mathematics, School of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran
2Department of Mathematics and Applied Mathematics, School of Mathematical and Natural Sciences, University of Venda, Private Bag X5050, Thohoyandou 0950, South Africa

Received 24 May 2014; Revised 25 July 2014; Accepted 28 July 2014; Published 14 September 2014

Academic Editor: Juan R. Torregrosa

Copyright © 2014 M. Kafaei Razavi 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

This paper presents a new iterative method for computing the approximate inverse of nonsingular matrices. The analytical discussion of the method is included to demonstrate its convergence behavior. As a matter of fact, it is proven that the suggested scheme possesses tenth order of convergence. Finally, its performance is illustrated by numerical examples on different matrices.