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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.

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Main Authors: Soleymani, Fazlollah, Sharifi, Mahdi, Vanani, Solat Karimi, Haghani, Farhad Khaksar, Kilicman, Adem
格式: Article
语言:English
出版: Hindawi Publishing Corporation 2014
在线阅读:http://psasir.upm.edu.my/id/eprint/36422/1/An%20inversion.pdf
http://psasir.upm.edu.my/id/eprint/36422/
http://www.hindawi.com/journals/tswj/2014/560931/
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spelling my.upm.eprints.364222016-01-27T05:07:32Z http://psasir.upm.edu.my/id/eprint/36422/ An inversion-free method for finding positive definite solution of a rational matrix equation Soleymani, Fazlollah Sharifi, Mahdi Vanani, Solat Karimi Haghani, Farhad Khaksar Kilicman, Adem 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 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/36422/1/An%20inversion.pdf Soleymani, Fazlollah and Sharifi, Mahdi and Vanani, Solat Karimi and Haghani, Farhad Khaksar and Kilicman, Adem (2014) An inversion-free method for finding positive definite solution of a rational matrix equation. The Scientific World Journal, 2014. art. no. 560931. pp. 1-5. ISSN 2356-6140; ESSN: 1537-744X http://www.hindawi.com/journals/tswj/2014/560931/ 10.1155/2014/560931
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
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.
format Article
author Soleymani, Fazlollah
Sharifi, Mahdi
Vanani, Solat Karimi
Haghani, Farhad Khaksar
Kilicman, Adem
spellingShingle Soleymani, Fazlollah
Sharifi, Mahdi
Vanani, Solat Karimi
Haghani, Farhad Khaksar
Kilicman, Adem
An inversion-free method for finding positive definite solution of a rational matrix equation
author_facet Soleymani, Fazlollah
Sharifi, Mahdi
Vanani, Solat Karimi
Haghani, Farhad Khaksar
Kilicman, Adem
author_sort Soleymani, Fazlollah
title 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_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_sort inversion-free method for finding positive definite solution of a rational matrix equation
publisher Hindawi Publishing Corporation
publishDate 2014
url http://psasir.upm.edu.my/id/eprint/36422/1/An%20inversion.pdf
http://psasir.upm.edu.my/id/eprint/36422/
http://www.hindawi.com/journals/tswj/2014/560931/
_version_ 1643831735715102720
score 13.250246

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