An accelerated gradient based iterative algorithm for solving systems of coupled generalized Sylvester-transpose matrix equations

نویسندگان

A‎. ‎M‎. ‎E‎. ‎ Bayoumi Department of Mathematics‎, ‎Faculty of Education‎, ‎Ain Shams University‎, ‎Cairo‎, ‎Egypt

M. A. Ramadan Department of Mathematics‎, ‎Faculty of Science‎, ‎Menoufia University‎, ‎Shebeen El‎- ‎Koom‎, ‎Egypt

M. Nili Ahmadabadi Department of Mathematics‎, ‎Najafabad Branch‎, ‎Islamic Azad University‎, ‎Najafabad‎, ‎Iran

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.