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.
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Publishing Corporation
2014
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| Online Access: | http://psasir.upm.edu.my/id/eprint/36422/ http://psasir.upm.edu.my/id/eprint/36422/1/An%20inversion.pdf |
| _version_ | 1848848327756480512 |
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| author | Soleymani, Fazlollah Sharifi, Mahdi Vanani, Solat Karimi Haghani, Farhad Khaksar Kilicman, Adem |
| author_facet | Soleymani, Fazlollah Sharifi, Mahdi Vanani, Solat Karimi Haghani, Farhad Khaksar Kilicman, Adem |
| author_sort | Soleymani, Fazlollah |
| building | UPM Institutional Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-15T09:32:45Z |
| format | Article |
| id | upm-36422 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T09:32:45Z |
| publishDate | 2014 |
| publisher | Hindawi Publishing Corporation |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-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 |
| 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 |
| 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 |
| url | http://psasir.upm.edu.my/id/eprint/36422/ http://psasir.upm.edu.my/id/eprint/36422/ http://psasir.upm.edu.my/id/eprint/36422/ http://psasir.upm.edu.my/id/eprint/36422/1/An%20inversion.pdf |