An Inversion-Free Method for Finding Positive Definite Solution of a Rational Matrix Equation-Reference-Cited by-同舟云学术

An Inversion-Free Method for Finding Positive Definite Solution of a Rational Matrix Equation

Published:2014 Issue: Volume:2014 Page:1-5
ISSN:2356-6140
Container-title:The Scientific World Journal
language:en
Short-container-title:The Scientific World Journal

Author:

Soleymani Fazlollah¹^ORCID,Sharifi Mahdi¹,Karimi Vanani Solat¹,Khaksar Haghani Farhad¹,Kılıçman Adem²

Affiliation:

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

2. Department of Mathematics and Institute for Mathematical Research, Universiti Putra Malaysia, 43400 Serdang, Malaysia

Abstract

A new iterative scheme has been constructed for finding minimal solution of a rational matrix equation of the formX+A*X-1A=I. The new method is inversion-free per computing step. The convergence of the method has been studied and tested via numerical experiments.

Funder

University Putra Malaysia

Publisher

Hindawi Limited

Subject

General Environmental Science,General Biochemistry, Genetics and Molecular Biology,General Medicine

Link

http://downloads.hindawi.com/journals/tswj/2014/560931.pdf

Reference19 articles.

1. Necessary and sufficient conditions for the existence of a positive definite solution of the matrix equation X +A∗X-1A = Q

2. On an Iteration Method for Solving a Class of Nonlinear Matrix Equations

3. Solutions and Improved Perturbation Analysis for the Matrix EquationX-A*X-pA=Q (p>0)

4. On the existence of a positive definite solution of the matrix equation X+ATX−1A= I

5. A new inversion-free method for a rational matrix equation

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