کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9506921 | 1340763 | 2005 | 13 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
The inverse eigenvalue problem for Hermitian anti-reflexive matrices and its approximation
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: The inverse eigenvalue problem for Hermitian anti-reflexive matrices and its approximation The inverse eigenvalue problem for Hermitian anti-reflexive matrices and its approximation](/preview/png/9506921.png)
چکیده انگلیسی
In this paper, we first consider the inverse eigenvalue problem as follows: Find a matrix A with specified eigenpairs, where A is a Hermitian anti-reflexive matrix with respect to a given generalized reflection matrix J. The sufficient and necessary conditions are obtained, and a general representation of such a matrix is presented. We denote the set of such matrices by SA. Then the best approximation problem for the inverse eigenproblem is discussed. That is: given an arbitrary Aâ, find a matrix AÌâSA which is nearest to Aâ in the Frobenius norm. We show that the best approximation is unique and provide an expression for this nearest matrix.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 162, Issue 3, 25 March 2005, Pages 1377-1389
Journal: Applied Mathematics and Computation - Volume 162, Issue 3, 25 March 2005, Pages 1377-1389
نویسندگان
Zhen-Yun Peng,