A Higher Order Iterative Method for Computing the Drazin Inverse
A method with high convergence rate for finding approximate inverses of nonsingular matrices is suggested and established analytically. An extension of the introduced computational scheme to general square matrices is defined. The extended method could be used for finding the Drazin inverse. The app...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2013/708647 |
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| _version_ | 1832555436049432576 |
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| author | F. Soleymani Predrag S. Stanimirović |
| author_facet | F. Soleymani Predrag S. Stanimirović |
| author_sort | F. Soleymani |
| collection | DOAJ |
| description | A method with high convergence rate for finding approximate inverses of nonsingular matrices is suggested
and established analytically. An extension of the introduced computational scheme to general square matrices is
defined. The extended method could be used for finding the Drazin inverse. The application of the scheme on large sparse test matrices alongside the use in preconditioning of linear system of equations will be presented to clarify the contribution of the paper. |
| format | Article |
| id | doaj-art-dc7c25ea43094f5b88807f9b58df24df |
| institution | Kabale University |
| issn | 1537-744X |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-dc7c25ea43094f5b88807f9b58df24df2025-02-03T05:48:17ZengWileyThe Scientific World Journal1537-744X2013-01-01201310.1155/2013/708647708647A Higher Order Iterative Method for Computing the Drazin InverseF. Soleymani0Predrag S. Stanimirović1Department of Mathematics, Zahedan Branch, Islamic Azad University, Zahedan, IranFaculty of Sciences and Mathematics, University of Niš, Višegradska 33, 18000 Niš, SerbiaA method with high convergence rate for finding approximate inverses of nonsingular matrices is suggested and established analytically. An extension of the introduced computational scheme to general square matrices is defined. The extended method could be used for finding the Drazin inverse. The application of the scheme on large sparse test matrices alongside the use in preconditioning of linear system of equations will be presented to clarify the contribution of the paper.http://dx.doi.org/10.1155/2013/708647 |
| spellingShingle | F. Soleymani Predrag S. Stanimirović A Higher Order Iterative Method for Computing the Drazin Inverse The Scientific World Journal |
| title | A Higher Order Iterative Method for Computing the Drazin Inverse |
| title_full | A Higher Order Iterative Method for Computing the Drazin Inverse |
| title_fullStr | A Higher Order Iterative Method for Computing the Drazin Inverse |
| title_full_unstemmed | A Higher Order Iterative Method for Computing the Drazin Inverse |
| title_short | A Higher Order Iterative Method for Computing the Drazin Inverse |
| title_sort | higher order iterative method for computing the drazin inverse |
| url | http://dx.doi.org/10.1155/2013/708647 |
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