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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| フォーマット: | 論文 |
| 言語: | English |
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Hindawi Publishing Corporation
2014
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| オンライン･アクセス: | 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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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 |
13.251813 |