Approximating the Inverse of a Square Matrix with Application in Computation of the Moore-Penrose Inverse
This paper presents a computational iterative method to find approximate inverses for the inverse of matrices. Analysis of convergence reveals that the method reaches ninth-order convergence. The extension of the proposed iterative method for computing Moore-Penrose inverse is furnished. Numerical r...
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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/10.1155/2014/731562 |
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| author | F. Soleymani M. Sharifi S. Shateyi |
| author_facet | F. Soleymani M. Sharifi S. Shateyi |
| author_sort | F. Soleymani |
| collection | DOAJ |
| description | This paper presents a computational iterative method to find approximate inverses for the inverse of matrices. Analysis of convergence reveals that the method reaches ninth-order convergence. The extension of the proposed iterative method for computing Moore-Penrose inverse is furnished. Numerical results including the comparisons with different existing methods of the same type in the literature will also be presented to manifest the superiority of the new algorithm in finding approximate inverses. |
| format | Article |
| id | doaj-art-b677b35d47e0409a9499a1bf6424c551 |
| 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-b677b35d47e0409a9499a1bf6424c5512025-02-03T05:43:59ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/731562731562Approximating the Inverse of a Square Matrix with Application in Computation of the Moore-Penrose InverseF. Soleymani0M. Sharifi1S. Shateyi2Department of Mathematics, Zahedan Branch, Islamic Azad University, Zahedan, IranDepartment of Mathematics, Zahedan Branch, Islamic Azad University, Zahedan, 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 computational iterative method to find approximate inverses for the inverse of matrices. Analysis of convergence reveals that the method reaches ninth-order convergence. The extension of the proposed iterative method for computing Moore-Penrose inverse is furnished. Numerical results including the comparisons with different existing methods of the same type in the literature will also be presented to manifest the superiority of the new algorithm in finding approximate inverses.http://dx.doi.org/10.1155/2014/731562 |
| spellingShingle | F. Soleymani M. Sharifi S. Shateyi Approximating the Inverse of a Square Matrix with Application in Computation of the Moore-Penrose Inverse Journal of Applied Mathematics |
| title | Approximating the Inverse of a Square Matrix with Application in Computation of the Moore-Penrose Inverse |
| title_full | Approximating the Inverse of a Square Matrix with Application in Computation of the Moore-Penrose Inverse |
| title_fullStr | Approximating the Inverse of a Square Matrix with Application in Computation of the Moore-Penrose Inverse |
| title_full_unstemmed | Approximating the Inverse of a Square Matrix with Application in Computation of the Moore-Penrose Inverse |
| title_short | Approximating the Inverse of a Square Matrix with Application in Computation of the Moore-Penrose Inverse |
| title_sort | approximating the inverse of a square matrix with application in computation of the moore penrose inverse |
| url | http://dx.doi.org/10.1155/2014/731562 |
| work_keys_str_mv | AT fsoleymani approximatingtheinverseofasquarematrixwithapplicationincomputationofthemoorepenroseinverse AT msharifi approximatingtheinverseofasquarematrixwithapplicationincomputationofthemoorepenroseinverse AT sshateyi approximatingtheinverseofasquarematrixwithapplicationincomputationofthemoorepenroseinverse |