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

Fazlollah Soleymani; Mahdi Sharifi; Solat Karimi Vanani; Farhad Khaksar Haghani; Adem Kılıçman

doi:10.1155/2014/560931

The Scientific World Journal (Jan 2014)

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

Fazlollah Soleymani,
Mahdi Sharifi,
Solat Karimi Vanani,
Farhad Khaksar Haghani,
Adem Kılıçman

Affiliations

Fazlollah Soleymani: Department of Mathematics, Islamic Azad University, Shahrekord Branch, Shahrekord, Iran
Mahdi Sharifi: Department of Mathematics, Islamic Azad University, Shahrekord Branch, Shahrekord, Iran
Solat Karimi Vanani: Department of Mathematics, Islamic Azad University, Shahrekord Branch, Shahrekord, Iran
Farhad Khaksar Haghani: Department of Mathematics, Islamic Azad University, Shahrekord Branch, Shahrekord, Iran
Adem Kılıçman: Department of Mathematics and Institute for Mathematical Research, Universiti Putra Malaysia, 43400 Serdang, Malaysia

DOI: https://doi.org/10.1155/2014/560931
Journal volume & issue: Vol. 2014

Abstract

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A new iterative scheme has been constructed for finding minimal solution of a rational matrix equation of the form X+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.

Published in The Scientific World Journal

ISSN: 2356-6140 (Print); 1537-744X (Online)
Publisher: Wiley
Country of publisher: United Kingdom
LCC subjects: Technology; Medicine; Science
Website: https://onlinelibrary.wiley.com/journal/8086

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