A Matrix Iteration for Finding Drazin Inverse with Ninth-Order Convergence
The aim of this paper is twofold. First, a matrix iteration for finding approximate inverses of nonsingular square matrices is constructed. Second, how the new method could be applied for computing the Drazin inverse is discussed. It is theoretically proven that the contributed method possesses the...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/137486 |
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| author | A. S. Al-Fhaid S. Shateyi M. Zaka Ullah F. Soleymani |
| author_facet | A. S. Al-Fhaid S. Shateyi M. Zaka Ullah F. Soleymani |
| author_sort | A. S. Al-Fhaid |
| collection | DOAJ |
| description | The aim of this paper is twofold. First, a matrix iteration for finding approximate inverses of nonsingular square matrices is constructed. Second, how the new method could be applied for computing the Drazin inverse is discussed. It is theoretically proven that the contributed method possesses the convergence rate nine. Numerical studies are brought forward to support the analytical parts. |
| format | Article |
| id | doaj-art-aeb219208d04472fbdd0fdb50d332824 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-aeb219208d04472fbdd0fdb50d3328242025-02-03T05:52:41ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/137486137486A Matrix Iteration for Finding Drazin Inverse with Ninth-Order ConvergenceA. S. Al-Fhaid0S. Shateyi1M. Zaka Ullah2F. Soleymani3Department of Mathematics, Faculty of Sciences, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaDepartment of Mathematics and Applied Mathematics, School of Mathematical and Natural Sciences, University of Venda, Private Bag X5050, Thohoyandou 0950, South AfricaDepartment of Mathematics, Faculty of Sciences, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, Islamic Azad University, Zahedan Branch, Zahedan, IranThe aim of this paper is twofold. First, a matrix iteration for finding approximate inverses of nonsingular square matrices is constructed. Second, how the new method could be applied for computing the Drazin inverse is discussed. It is theoretically proven that the contributed method possesses the convergence rate nine. Numerical studies are brought forward to support the analytical parts.http://dx.doi.org/10.1155/2014/137486 |
| spellingShingle | A. S. Al-Fhaid S. Shateyi M. Zaka Ullah F. Soleymani A Matrix Iteration for Finding Drazin Inverse with Ninth-Order Convergence Abstract and Applied Analysis |
| title | A Matrix Iteration for Finding Drazin Inverse with Ninth-Order Convergence |
| title_full | A Matrix Iteration for Finding Drazin Inverse with Ninth-Order Convergence |
| title_fullStr | A Matrix Iteration for Finding Drazin Inverse with Ninth-Order Convergence |
| title_full_unstemmed | A Matrix Iteration for Finding Drazin Inverse with Ninth-Order Convergence |
| title_short | A Matrix Iteration for Finding Drazin Inverse with Ninth-Order Convergence |
| title_sort | matrix iteration for finding drazin inverse with ninth order convergence |
| url | http://dx.doi.org/10.1155/2014/137486 |
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