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-1A=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: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2014/560931 |
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| _version_ | 1832561054331174912 |
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| author | Fazlollah Soleymani Mahdi Sharifi Solat Karimi Vanani Farhad Khaksar Haghani Adem Kılıçman |
| author_facet | Fazlollah Soleymani Mahdi Sharifi Solat Karimi Vanani Farhad Khaksar Haghani Adem Kılıçman |
| author_sort | Fazlollah Soleymani |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-fbb805de9b5646c2b1c06965cedd90e1 |
| institution | Kabale University |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-fbb805de9b5646c2b1c06965cedd90e12025-02-03T01:26:12ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/560931560931An Inversion-Free Method for Finding Positive Definite Solution of a Rational Matrix EquationFazlollah Soleymani0Mahdi Sharifi1Solat Karimi Vanani2Farhad Khaksar Haghani3Adem Kılıçman4Department of Mathematics, Islamic Azad University, Shahrekord Branch, Shahrekord, IranDepartment of Mathematics, Islamic Azad University, Shahrekord Branch, Shahrekord, IranDepartment of Mathematics, Islamic Azad University, Shahrekord Branch, Shahrekord, IranDepartment of Mathematics, Islamic Azad University, Shahrekord Branch, Shahrekord, IranDepartment of Mathematics and Institute for Mathematical Research, Universiti Putra Malaysia, 43400 Serdang, MalaysiaA 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.http://dx.doi.org/10.1155/2014/560931 |
| spellingShingle | Fazlollah Soleymani Mahdi Sharifi Solat Karimi Vanani Farhad Khaksar Haghani Adem Kılıçman An Inversion-Free Method for Finding Positive Definite Solution of a Rational Matrix Equation The Scientific World Journal |
| 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://dx.doi.org/10.1155/2014/560931 |
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