کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
471286 698617 2016 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The Hermitian {P,k+1}-(anti-)reflexive solutions of a linear matrix equation
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر علوم کامپیوتر (عمومی)
پیش نمایش صفحه اول مقاله
The Hermitian {P,k+1}-(anti-)reflexive solutions of a linear matrix equation
چکیده انگلیسی

In this paper, we first establish the necessary and sufficient conditions for the existence and the explicit expressions of the Hermitian {P,k+1}-(anti-)reflexive solutions of the matrix equation AX=BAX=B, and meanwhile the best approximation solution is considered. Then, if the solvability conditions are not satisfied, the least squares Hermitian {P,k+1}-(anti-)reflexive solutions and the least squares Hermitian {P,k+1}-(anti-)reflexive solutions with the minimum norm of the above matrix equation are respectively derived. In addition, two algorithms are shown to compute the least squares Hermitian {P,k+1}-(anti-)reflexive solutions, and the corresponding numerical examples are also given to illustrate the feasibility of the algorithms.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 71, Issue 12, June 2016, Pages 2513–2523
نویسندگان
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