کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4626663 | 1631789 | 2015 | 10 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Least-squares symmetric and skew-symmetric solutions of the generalized Sylvester matrix equation ∑i=1sAiXBi+∑j=1tCjYDj=E
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Least-squares symmetric and skew-symmetric solutions of the generalized Sylvester matrix equation ∑i=1sAiXBi+∑j=1tCjYDj=E Least-squares symmetric and skew-symmetric solutions of the generalized Sylvester matrix equation ∑i=1sAiXBi+∑j=1tCjYDj=E](/preview/png/4626663.png)
چکیده انگلیسی
The generalized Sylvester matrix equation ∑i=1sAiXBi+∑j=1tCjYDj=E with unknown matrices X and Y is encountered in many system and control applications. In this paper, a direct method is established to solve the least-squares symmetric and skew-symmetric solutions of the equation by using the Kronecker product and the generalized inverses and, the expression of the solution set SS are provided. Moreover, an optimal approximation between a given matrix pair and the affine subspace SS is discussed, and an explicit formula for the unique optimal approximation solution is presented. Finally, two numerical examples are given which demonstrate that the introduced algorithm is quite efficient.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 265, 15 August 2015, Pages 370–379
Journal: Applied Mathematics and Computation - Volume 265, 15 August 2015, Pages 370–379
نویسندگان
Yongxin Yuan, Kezheng Zuo,