A New Iterative Method for Finding Approximate Inverses of Complex Matrices
This paper presents a new iterative method for computing the approximate inverse of nonsingular matrices. The analytical discussion of the method is included to demonstrate its convergence behavior. As a matter of fact, it is proven that the suggested scheme possesses tenth order of convergence. Fin...
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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: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/563787 |
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| author | M. Kafaei Razavi A. Kerayechian M. Gachpazan S. Shateyi |
| author_facet | M. Kafaei Razavi A. Kerayechian M. Gachpazan S. Shateyi |
| author_sort | M. Kafaei Razavi |
| collection | DOAJ |
| description | This paper presents a new iterative method for computing the approximate inverse of nonsingular matrices. The analytical discussion of the method is included to demonstrate its convergence behavior. As a matter of fact, it is proven that the suggested scheme possesses tenth order of convergence. Finally, its performance is illustrated by numerical examples on different matrices. |
| format | Article |
| id | doaj-art-570ded15b4fb424caec11c5147c45e92 |
| 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-570ded15b4fb424caec11c5147c45e922025-02-03T01:31:38ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/563787563787A New Iterative Method for Finding Approximate Inverses of Complex MatricesM. Kafaei Razavi0A. Kerayechian1M. Gachpazan2S. Shateyi3Department of Applied Mathematics, School of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, IranDepartment of Applied Mathematics, School of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, IranDepartment of Applied Mathematics, School of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, IranDepartment of Mathematics and Applied Mathematics, School of Mathematical and Natural Sciences, University of Venda, Private Bag X5050, Thohoyandou 0950, South AfricaThis paper presents a new iterative method for computing the approximate inverse of nonsingular matrices. The analytical discussion of the method is included to demonstrate its convergence behavior. As a matter of fact, it is proven that the suggested scheme possesses tenth order of convergence. Finally, its performance is illustrated by numerical examples on different matrices.http://dx.doi.org/10.1155/2014/563787 |
| spellingShingle | M. Kafaei Razavi A. Kerayechian M. Gachpazan S. Shateyi A New Iterative Method for Finding Approximate Inverses of Complex Matrices Abstract and Applied Analysis |
| title | A New Iterative Method for Finding Approximate Inverses of Complex Matrices |
| title_full | A New Iterative Method for Finding Approximate Inverses of Complex Matrices |
| title_fullStr | A New Iterative Method for Finding Approximate Inverses of Complex Matrices |
| title_full_unstemmed | A New Iterative Method for Finding Approximate Inverses of Complex Matrices |
| title_short | A New Iterative Method for Finding Approximate Inverses of Complex Matrices |
| title_sort | new iterative method for finding approximate inverses of complex matrices |
| url | http://dx.doi.org/10.1155/2014/563787 |
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