11 خرداد 1403
سعيد كريمي جعفر بيگلو

سعید کریمی جعفر بیگلو

مرتبه علمی: دانشیار
نشانی: دانشکده مهندسی سیستم های هوشمند و علوم داده - گروه ریاضی
تحصیلات: دکترای تخصصی / ریاضی
تلفن: 07733447965
دانشکده: دانشکده مهندسی سیستم های هوشمند و علوم داده

مشخصات پژوهش

عنوان Global least squares solution of matrix equation sP j=1 A jXjBj = E
نوع پژوهش مقالات در نشریات
کلیدواژه‌ها
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مجله Journal of Mathematical Modeling
شناسه DOI
پژوهشگران سعید کریمی جعفر بیگلو (نفر اول)

چکیده

In this paper, an iterative method is proposed for solving matrix equation Ps j=1 AjXjBj = E. This method is based on the global least squares (GL-LSQR) method for solving the linear system of equations with the multiple right hand sides. For applying the GL-LSQR algorithm to solve the above matrix equation, a new linear operator, its adjoint and a new inner product are defined. It is proved that the new iterative method obtains the least norm solution of the mentioned matrix equation within finite iteration steps in the exact arithmetic, when the above matrix equation is consistent. Moreover, the optimal approximate solution (X1 ?, X2 ?, . . . , Xs ?) to a given multiple matrices (X ¯1, X ¯2, . . . , X ¯s) can be derived by finding the least norm solution of a new matrix equation. Finally, some numerical experiments are given to illustrate the efficiency of the new method