An accelerated gradient based iterative algorithm for solving systems of coupled generalized Sylvester-transpose matrix equations
محورهای موضوعی : Linear and multilinear algebra; matrix theoryA‎. ‎M‎. ‎E‎. ‎ Bayoumi 1 , M. A. Ramadan 2 , M. Nili Ahmadabadi 3
1 - Department of Mathematics, Faculty of Education, Ain Shams University, Cairo, Egypt
2 - Department of Mathematics, Faculty of Science, Menoufia University, Shebeen El- Koom, Egypt
3 - Department of Mathematics, Najafabad Branch, Islamic Azad University, Najafabad, Iran
کلید واژه: Coupled matrix equations, Frobenius norm, relaxation parameters, gradient algorithm,
چکیده مقاله :
In this paper, an accelerated gradient based iterative algorithm for solving systems of coupled generalized Sylvester-transpose matrix equations is proposed. The convergence analysis of the algorithm is investigated. We show that the proposed algorithm converges to the exact solution for any initial value under certain assumptions. Finally, some numerical examples are given to demonstrate the behavior of the proposed method and to support the theoretical results of this paper.
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