Some Matrix Iterations for Computing Matrix Sign Function
Some iterative methods are introduced and demonstrated for finding the matrix sign function. It is analytically shown that the new schemes are asymptotically stable. Convergence analysis along with the error bounds of the main proposed method is established. Different numerical experiments are emplo...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/425654 |
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| _version_ | 1832563815818985472 |
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| author | F. Soleymani E. Tohidi S. Shateyi F. Khaksar Haghani |
| author_facet | F. Soleymani E. Tohidi S. Shateyi F. Khaksar Haghani |
| author_sort | F. Soleymani |
| collection | DOAJ |
| description | Some iterative methods are introduced and demonstrated for finding the matrix sign function. It is analytically shown that the new schemes are asymptotically stable. Convergence analysis along with the error bounds of the main proposed method is established. Different numerical experiments are employed to compare the behavior of the new schemes with the existing matrix iterations of the same type. |
| format | Article |
| id | doaj-art-fc725ee8c2d64ace9309b236a2fb70d4 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-fc725ee8c2d64ace9309b236a2fb70d42025-02-03T01:12:31ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/425654425654Some Matrix Iterations for Computing Matrix Sign FunctionF. Soleymani0E. Tohidi1S. Shateyi2F. Khaksar Haghani3Department of Mathematics, Islamic Azad University, Shahrekord Branch, Shahrekord, IranDepartment of Mathematics, Islamic Azad University, Shahrekord Branch, Shahrekord, IranDepartment of Mathematics and Applied Mathematics, School of Mathematical and Natural Sciences, University of Venda, Private Bag X5050, Thohoyandou 0950, South AfricaDepartment of Mathematics, Islamic Azad University, Shahrekord Branch, Shahrekord, IranSome iterative methods are introduced and demonstrated for finding the matrix sign function. It is analytically shown that the new schemes are asymptotically stable. Convergence analysis along with the error bounds of the main proposed method is established. Different numerical experiments are employed to compare the behavior of the new schemes with the existing matrix iterations of the same type.http://dx.doi.org/10.1155/2014/425654 |
| spellingShingle | F. Soleymani E. Tohidi S. Shateyi F. Khaksar Haghani Some Matrix Iterations for Computing Matrix Sign Function Journal of Applied Mathematics |
| title | Some Matrix Iterations for Computing Matrix Sign Function |
| title_full | Some Matrix Iterations for Computing Matrix Sign Function |
| title_fullStr | Some Matrix Iterations for Computing Matrix Sign Function |
| title_full_unstemmed | Some Matrix Iterations for Computing Matrix Sign Function |
| title_short | Some Matrix Iterations for Computing Matrix Sign Function |
| title_sort | some matrix iterations for computing matrix sign function |
| url | http://dx.doi.org/10.1155/2014/425654 |
| work_keys_str_mv | AT fsoleymani somematrixiterationsforcomputingmatrixsignfunction AT etohidi somematrixiterationsforcomputingmatrixsignfunction AT sshateyi somematrixiterationsforcomputingmatrixsignfunction AT fkhaksarhaghani somematrixiterationsforcomputingmatrixsignfunction |