Iterative Algorithm for Solving a System of Nonlinear Matrix Equations
We discuss the positive definite solutions for the system of nonlinear matrix equations and , where , are two positive integers. Some properties of solutions are studied, and the necessary and sufficient conditions for the existence of positive definite solutions are given. An iterative algorithm...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
|
| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/461407 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832548709315903488 |
|---|---|
| author | Asmaa M. Al-Dubiban |
| author_facet | Asmaa M. Al-Dubiban |
| author_sort | Asmaa M. Al-Dubiban |
| collection | DOAJ |
| description | We discuss the positive definite solutions for the system of nonlinear matrix equations and , where , are two positive integers. Some properties of solutions are studied, and the necessary and sufficient conditions for the existence of positive definite solutions are given. An iterative algorithm for obtaining positive definite solutions of the system is proposed. Moreover, the error estimations are found. Finally, some numerical examples are given to show the efficiency of the proposed iterative algorithm. |
| format | Article |
| id | doaj-art-dec04520368d41ce97855e5e7949c274 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-dec04520368d41ce97855e5e7949c2742025-02-03T06:13:21ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/461407461407Iterative Algorithm for Solving a System of Nonlinear Matrix EquationsAsmaa M. Al-Dubiban0Faculty of Science and Arts, Qassim University, P.O. Box 1162, Buraydah 51431, Saudi ArabiaWe discuss the positive definite solutions for the system of nonlinear matrix equations and , where , are two positive integers. Some properties of solutions are studied, and the necessary and sufficient conditions for the existence of positive definite solutions are given. An iterative algorithm for obtaining positive definite solutions of the system is proposed. Moreover, the error estimations are found. Finally, some numerical examples are given to show the efficiency of the proposed iterative algorithm.http://dx.doi.org/10.1155/2012/461407 |
| spellingShingle | Asmaa M. Al-Dubiban Iterative Algorithm for Solving a System of Nonlinear Matrix Equations Journal of Applied Mathematics |
| title | Iterative Algorithm for Solving a System of Nonlinear Matrix Equations |
| title_full | Iterative Algorithm for Solving a System of Nonlinear Matrix Equations |
| title_fullStr | Iterative Algorithm for Solving a System of Nonlinear Matrix Equations |
| title_full_unstemmed | Iterative Algorithm for Solving a System of Nonlinear Matrix Equations |
| title_short | Iterative Algorithm for Solving a System of Nonlinear Matrix Equations |
| title_sort | iterative algorithm for solving a system of nonlinear matrix equations |
| url | http://dx.doi.org/10.1155/2012/461407 |
| work_keys_str_mv | AT asmaamaldubiban iterativealgorithmforsolvingasystemofnonlinearmatrixequations |