کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1136973 | 1489176 | 2009 | 9 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On the explicit solutions of forms of the Sylvester and the Yakubovich matrix equations
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
کنترل و سیستم های مهندسی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: On the explicit solutions of forms of the Sylvester and the Yakubovich matrix equations On the explicit solutions of forms of the Sylvester and the Yakubovich matrix equations](/preview/png/1136973.png)
چکیده انگلیسی
In this paper, we consider the explicit solutions of two matrix equations, namely, the Yakubovich matrix equation V−AVF=BWV−AVF=BW and Sylvester matrix equations AV−EVF=BW,AV+BW=EVFAV−EVF=BW,AV+BW=EVF and AV−VF=BWAV−VF=BW. For this purpose, we make use of Kronecker map and Sylvester sum as well as the concept of coefficients of characteristic polynomial of the matrix AA. Some lemmas and theorems are stated and proved where explicit and parametric solutions are obtained. The proposed methods are illustrated by numerical examples. The results obtained show that the methods are very neat and efficient.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Mathematical and Computer Modelling - Volume 50, Issues 9–10, November 2009, Pages 1400–1408
Journal: Mathematical and Computer Modelling - Volume 50, Issues 9–10, November 2009, Pages 1400–1408
نویسندگان
Mohamed A. Ramadan, Mokhtar A. Abdel Naby, Ahmed M.E. Bayoumi,