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an accelerated gradient based iterative algorithm for solving systems of coupled generalized sylvester-transpose matrix equations
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نویسنده
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bayoumi a. m. e. ,ramadan m. a. ,ahmadabadi m. nili
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منبع
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journal of linear and topological algebra - 2019 - دوره : 8 - شماره : 2 - صفحه:117 -126
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چکیده
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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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کلیدواژه
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coupled matrix equations ,frobenius norm ,relaxation parameters ,gradient algorithm ,modified gradient ,the accelerated gradient algorithm
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آدرس
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ain shams university, faculty of education, department of mathematics, egypt, menoufia university, faculty of science, department of mathematics, egypt, islamic azad university, najafabad branch, department of mathematics, iran
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پست الکترونیکی
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mneely59@hotmail.com
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Authors
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