کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9498630 | 1631207 | 2005 | 13 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Perturbation analysis of the Hermitian positive definite solution of the matrix equation X â A*Xâ2A = I
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Perturbation analysis of the Hermitian positive definite solution of the matrix equation X â A*Xâ2A = I Perturbation analysis of the Hermitian positive definite solution of the matrix equation X â A*Xâ2A = I](/preview/png/9498630.png)
چکیده انگلیسی
Consider the nonlinear matrix equation X â A*Xâ2A = I, where A is an n Ã n complex matrix, I the identity matrix and A* the conjugate transpose of a matrix A. In this paper, it is proved that this matrix equation has a unique Hermitian positive definite solution provided â¥Aâ¥2 < 1, and moreover, under the condition â¥Aâ¥2 < 1, a perturbation bound for the Hermitian positive definite solution to this matrix equation is derived, and an explicit expression of the condition number for the Hermitian positive definite solution is obtained. The results are illustrated by using some numerical examples.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 394, 1 January 2005, Pages 39-51
Journal: Linear Algebra and its Applications - Volume 394, 1 January 2005, Pages 39-51
نویسندگان
Mingsong Cheng, Shufang Xu,