An accelerated gradient based iterative algorithm for solving systems of coupled generalized Sylvester-transpose matrix equations
محورهای موضوعی : Linear and multilinear algebra; matrix theory
A‎. ‎M‎. ‎E‎. ‎ Bayoumi
1
(Department of Mathematics, Faculty of Education, Ain Shams University, Cairo, Egypt)
M. A. Ramadan
2
(Department of Mathematics, Faculty of Science, Menoufia University, Shebeen El- Koom, Egypt)
M. Nili Ahmadabadi
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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