Finite iterative Hermitian R-conjugate solutions of the generalized coupled Sylvester-conjugate matrix equations
| Autor: | Ahmed M. E. Bayoumi, Mohamed A. Ramadan |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Pure mathematics
Iterative method 010103 numerical & computational mathematics 01 natural sciences Hermitian matrix 010101 applied mathematics Computational Mathematics Matrix (mathematics) Computational Theory and Mathematics Modeling and Simulation Convergence (routing) 0101 mathematics Conjugate Mathematics Conjugate transpose |
| Zdroj: | Computers & Mathematics with Applications. 75:3367-3378 |
| ISSN: | 0898-1221 |
| DOI: | 10.1016/j.camwa.2018.02.003 |
| Popis: | In this paper, an iterative algorithm for solving a generalized coupled Sylvester-conjugate matrix equations over Hermitian R -conjugate matrices given by A 1 V B 1 + C 1 W D 1 = E 1 V ¯ F 1 + G 1 and A 2 V B 2 + C 2 W D 2 = E 2 V ¯ F 2 + G 2 is presented. When these two matrix equations are consistent, the convergence theorem shows that a solution can be obtained within finite iterative steps in the absence of round-off error for any initial arbitrary Hermitian R -conjugate solution matrices V 1 , W 1 . Some lemmas and theorems are stated and proved where the iterative solutions are obtained. A numerical example is given to demonstrate the behavior of the proposed method and to support the theoretical results. |
| Databáze: | OpenAIRE |
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