کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8901847 | 1631948 | 2018 | 26 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Solutions to matrix equations XâAXB=CY+R and XâAXÌB=CY+R
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Solutions to matrix equations XâAXB=CY+R and XâAXÌB=CY+R Solutions to matrix equations XâAXB=CY+R and XâAXÌB=CY+R](/preview/png/8901847.png)
چکیده انگلیسی
The present work proposed an alternative approach to find the closed-form solutions of the nonhomogeneous Yakubovich matrix equation XâAXB=CY+R. Based on the derived closed-form solution to the nonhomogeneous Yakubovich matrix equation, the solutions to the nonhomogeneous Yakubovich quaternion j-conjugate matrix equation XâAXÌB=CY+R are obtained by the use of the real representation of a quaternion matrix. The existing complex representation method requires the coefficient matrix A to be a block diagonal matrix over complex field. In contrast in this publication we allow a quaternion matrix of any dimension. As an application, eigenstructure assignment problem for descriptor linear systems is considered.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 343, 1 December 2018, Pages 488-500
Journal: Journal of Computational and Applied Mathematics - Volume 343, 1 December 2018, Pages 488-500
نویسندگان
Caiqin Song, Guoliang Chen,