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
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موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
علوم کامپیوتر (عمومی)
پیش نمایش صفحه اول مقاله
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
Journal: Computers & Mathematics with Applications - Volume 71, Issue 12, June 2016, Pages 2513–2523
نویسندگان
Juan Yu, Shu-qian Shen,