کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4631628 | 1340626 | 2010 | 7 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On the Hermitian positive definite solutions of nonlinear matrix equation Xs + A∗X−tA = Q
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: On the Hermitian positive definite solutions of nonlinear matrix equation Xs + A∗X−tA = Q On the Hermitian positive definite solutions of nonlinear matrix equation Xs + A∗X−tA = Q](/preview/png/4631628.png)
چکیده انگلیسی
Nonlinear matrix equation Xs + A∗X−tA = Q, where A, Q are n × n complex matrices with Q Hermitian positive definite, has widely applied background. In this paper, we consider the Hermitian positive definite solutions of this matrix equation with two cases: s ⩾ 1, 0 < t ⩽ 1 and 0 < s ⩽ 1, t ⩾ 1. We derive necessary conditions and sufficient conditions for the existence of Hermitian positive definite solutions for the matrix equation and obtain some properties of the solutions. We also propose iterative methods for obtaining the extremal Hermitian positive definite solution of the matrix equation. Finally, we give some numerical examples to show the efficiency of the proposed iterative methods.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 217, Issue 1, 1 September 2010, Pages 117–123
Journal: Applied Mathematics and Computation - Volume 217, Issue 1, 1 September 2010, Pages 117–123
نویسندگان
Jing Cai, Guoliang Chen,