An Improved Computationally Efficient Method for Finding the Drazin Inverse
Drazin inverse is one of the most significant inverses in the matrix theory, where its computation is an intensive and useful task. The objective of this work is to propose a computationally effective iterative scheme for finding the Drazin inverse. The convergence is investigated analytically by ap...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2018/6758302 |
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| _version_ | 1832561686413836288 |
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| author | Haifa Bin Jebreen Yurilev Chalco-Cano |
| author_facet | Haifa Bin Jebreen Yurilev Chalco-Cano |
| author_sort | Haifa Bin Jebreen |
| collection | DOAJ |
| description | Drazin inverse is one of the most significant inverses in the matrix theory, where its computation is an intensive and useful task. The objective of this work is to propose a computationally effective iterative scheme for finding the Drazin inverse. The convergence is investigated analytically by applying a suitable initial matrix. The theoretical discussions are upheld by several experiments showing the stability and convergence of the proposed method. |
| format | Article |
| id | doaj-art-0e097c6b5018489c8444fccf144d10c3 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-0e097c6b5018489c8444fccf144d10c32025-02-03T01:24:24ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2018-01-01201810.1155/2018/67583026758302An Improved Computationally Efficient Method for Finding the Drazin InverseHaifa Bin Jebreen0Yurilev Chalco-Cano1Mathematics Department, College of Science, King Saud University, Riyadh, Saudi ArabiaDepartamento de Matematica, Universidad de Tarapaca, Casilla 7D, Arica, ChileDrazin inverse is one of the most significant inverses in the matrix theory, where its computation is an intensive and useful task. The objective of this work is to propose a computationally effective iterative scheme for finding the Drazin inverse. The convergence is investigated analytically by applying a suitable initial matrix. The theoretical discussions are upheld by several experiments showing the stability and convergence of the proposed method.http://dx.doi.org/10.1155/2018/6758302 |
| spellingShingle | Haifa Bin Jebreen Yurilev Chalco-Cano An Improved Computationally Efficient Method for Finding the Drazin Inverse Discrete Dynamics in Nature and Society |
| title | An Improved Computationally Efficient Method for Finding the Drazin Inverse |
| title_full | An Improved Computationally Efficient Method for Finding the Drazin Inverse |
| title_fullStr | An Improved Computationally Efficient Method for Finding the Drazin Inverse |
| title_full_unstemmed | An Improved Computationally Efficient Method for Finding the Drazin Inverse |
| title_short | An Improved Computationally Efficient Method for Finding the Drazin Inverse |
| title_sort | improved computationally efficient method for finding the drazin inverse |
| url | http://dx.doi.org/10.1155/2018/6758302 |
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