A Matrix Iteration for Finding Drazin Inverse with Ninth-Order Convergence-Reference-Cited by-同舟云学术

A Matrix Iteration for Finding Drazin Inverse with Ninth-Order Convergence

Published:2014 Issue: Volume:2014 Page:1-7
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Al-Fhaid A. S.¹,Shateyi S.²,Ullah M. Zaka¹,Soleymani F.³

Affiliation:

1. Department of Mathematics, Faculty of Sciences, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia

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

3. Department of Mathematics, Islamic Azad University, Zahedan Branch, Zahedan, Iran

Abstract

The aim of this paper is twofold. First, a matrix iteration for finding approximate inverses of nonsingular square matrices is constructed. Second, how the new method could be applied for computing the Drazin inverse is discussed. It is theoretically proven that the contributed method possesses the convergence rate nine. Numerical studies are brought forward to support the analytical parts.

Funder

Deanship of Scientific Research (DSR), King Abdulaziz University

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2014/137486.pdf

Reference30 articles.

1. Identifiability for a Class of Discretized Linear Partial Differential Algebraic Equations

2. A Rapid Numerical Algorithm to Compute Matrix Inversion

3. A new method for solving ill-conditioned linear systems

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