Numerical Solution of Sylvester Equation Based on Iterative Predictor-Corrector Method
The inspiration of the study concerns an iterative predictor-corrector method with order of convergence p=45 for computing the inverse of the coefficient matrix Λ=In⊗A+BT⊗Im, which is obtained by the Sylvester equation AX+XB=C. The numerical solutions of three examples by predictor-corrector algorit...
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/6571126 |
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| _version_ | 1832563065597460480 |
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| author | Ovgu Cidar Iyikal |
| author_facet | Ovgu Cidar Iyikal |
| author_sort | Ovgu Cidar Iyikal |
| collection | DOAJ |
| description | The inspiration of the study concerns an iterative predictor-corrector method with order of convergence p=45 for computing the inverse of the coefficient matrix Λ=In⊗A+BT⊗Im, which is obtained by the Sylvester equation AX+XB=C. The numerical solutions of three examples by predictor-corrector algorithm are given. The final numerical results also support the applicability, fast convergency, and high accuracy of the method for finding matrix inverses. |
| format | Article |
| id | doaj-art-fc858e3bbc634620a9d084636a8c37e8 |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-fc858e3bbc634620a9d084636a8c37e82025-02-03T01:21:05ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/6571126Numerical Solution of Sylvester Equation Based on Iterative Predictor-Corrector MethodOvgu Cidar Iyikal0Department of MathematicsThe inspiration of the study concerns an iterative predictor-corrector method with order of convergence p=45 for computing the inverse of the coefficient matrix Λ=In⊗A+BT⊗Im, which is obtained by the Sylvester equation AX+XB=C. The numerical solutions of three examples by predictor-corrector algorithm are given. The final numerical results also support the applicability, fast convergency, and high accuracy of the method for finding matrix inverses.http://dx.doi.org/10.1155/2022/6571126 |
| spellingShingle | Ovgu Cidar Iyikal Numerical Solution of Sylvester Equation Based on Iterative Predictor-Corrector Method Journal of Mathematics |
| title | Numerical Solution of Sylvester Equation Based on Iterative Predictor-Corrector Method |
| title_full | Numerical Solution of Sylvester Equation Based on Iterative Predictor-Corrector Method |
| title_fullStr | Numerical Solution of Sylvester Equation Based on Iterative Predictor-Corrector Method |
| title_full_unstemmed | Numerical Solution of Sylvester Equation Based on Iterative Predictor-Corrector Method |
| title_short | Numerical Solution of Sylvester Equation Based on Iterative Predictor-Corrector Method |
| title_sort | numerical solution of sylvester equation based on iterative predictor corrector method |
| url | http://dx.doi.org/10.1155/2022/6571126 |
| work_keys_str_mv | AT ovgucidariyikal numericalsolutionofsylvesterequationbasedoniterativepredictorcorrectormethod |