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

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

Detalles Bibliográficos
Autores principales: Soleymani, Fazlollah, Sharifi, Mahdi, Karimi Vanani, Solat, Khaksar Haghani, Farhad, Kılıçman, Adem
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2014
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4151580/
https://www.ncbi.nlm.nih.gov/pubmed/25215323
http://dx.doi.org/10.1155/2014/560931
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author Soleymani, Fazlollah
Sharifi, Mahdi
Karimi Vanani, Solat
Khaksar Haghani, Farhad
Kılıçman, Adem
author_facet Soleymani, Fazlollah
Sharifi, Mahdi
Karimi Vanani, Solat
Khaksar Haghani, Farhad
Kılıçman, Adem
author_sort Soleymani, Fazlollah
collection PubMed
description A new iterative scheme has been constructed for finding minimal solution of a rational matrix equation of the form X + A*X (−1) A = I. The new method is inversion-free per computing step. The convergence of the method has been studied and tested via numerical experiments.
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spelling pubmed-41515802014-09-11 An Inversion-Free Method for Finding Positive Definite Solution of a Rational Matrix Equation Soleymani, Fazlollah Sharifi, Mahdi Karimi Vanani, Solat Khaksar Haghani, Farhad Kılıçman, Adem ScientificWorldJournal Research Article A new iterative scheme has been constructed for finding minimal solution of a rational matrix equation of the form X + A*X (−1) A = I. The new method is inversion-free per computing step. The convergence of the method has been studied and tested via numerical experiments. Hindawi Publishing Corporation 2014 2014-08-19 /pmc/articles/PMC4151580/ /pubmed/25215323 http://dx.doi.org/10.1155/2014/560931 Text en Copyright © 2014 Fazlollah Soleymani et al. https://creativecommons.org/licenses/by/3.0/ 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.
spellingShingle Research Article
Soleymani, Fazlollah
Sharifi, Mahdi
Karimi Vanani, Solat
Khaksar Haghani, Farhad
Kılıçman, Adem
An Inversion-Free Method for Finding Positive Definite Solution of a Rational Matrix Equation
title An Inversion-Free Method for Finding Positive Definite Solution of a Rational Matrix Equation
title_full An Inversion-Free Method for Finding Positive Definite Solution of a Rational Matrix Equation
title_fullStr An Inversion-Free Method for Finding Positive Definite Solution of a Rational Matrix Equation
title_full_unstemmed An Inversion-Free Method for Finding Positive Definite Solution of a Rational Matrix Equation
title_short An Inversion-Free Method for Finding Positive Definite Solution of a Rational Matrix Equation
title_sort inversion-free method for finding positive definite solution of a rational matrix equation
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4151580/
https://www.ncbi.nlm.nih.gov/pubmed/25215323
http://dx.doi.org/10.1155/2014/560931
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