کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6891904 | 1445343 | 2018 | 17 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Analytical best approximate Hermitian and generalized skew-Hamiltonian solution of matrix equation AXAH+CYCH=F
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
علوم کامپیوتر (عمومی)
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Analytical best approximate Hermitian and generalized skew-Hamiltonian solution of matrix equation AXAH+CYCH=F Analytical best approximate Hermitian and generalized skew-Hamiltonian solution of matrix equation AXAH+CYCH=F](/preview/png/6891904.png)
چکیده انگلیسی
In this paper, we consider the matrix equation AXAH+CYCH=F, where A, C and F are given matrices with appropriate sizes and [X,Y] is an unknown Hermitian and generalized skew-Hamiltonian matrix pair. Based on matrix differential calculus and projection theorem in inner product spaces, we exploit the best approximate solution [XÌ,YÌ] in the set S to a given matrix pair [Xâ,Yâ], where S signifies the least-squares Hermitian and generalized skew-Hamiltonian solution set of the matrix equation AXAH+CYCH=F. The analytical expression of the best approximate solution is presented by applying the canonical correlation decomposition and the generalized singular value decomposition. Finally, a numerical algorithm and an illustrated example are given.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 75, Issue 10, 15 May 2018, Pages 3702-3718
Journal: Computers & Mathematics with Applications - Volume 75, Issue 10, 15 May 2018, Pages 3702-3718
نویسندگان
Wei-Ru Xu, Guo-Liang Chen, Xing-Ping Sheng,