کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4635397 | 1340710 | 2007 | 8 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Matrix inverse problem and its optimal approximation problem for R-symmetric matrices
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله

چکیده انگلیسی
Let RâCnÃn be a nontrivial involution, i.e., R2=I and Râ ±I. A matrix AâCnÃn is called R-symmetric if RAR=A. The solvability conditions and the expression of the matrix inverse problem for R-symmetric matrices with Râ=R are derived, also the least-squares solutions of the matrix inverse problem for R-symmetric matrices with Râ=R are given. The corresponding optimal approximation problem for R-symmetric matrices with Râ=R is considered. We firstly point out that the optimal approximation problem is solvable, then get the expression of its unique solution. It can be seen that this paper generalizes the results mentioned in Zhou [F.-Z. Zhou, L. Zhang, X.-Y. Hu, Least-square solutions for inverse problem of centrosymmetric matrices, Comput. Math. Appl. 45 (2003) 1581-1589].
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 189, Issue 1, 1 June 2007, Pages 482-489
Journal: Applied Mathematics and Computation - Volume 189, Issue 1, 1 June 2007, Pages 482-489
نویسندگان
Guang-Xin Huang, Feng Yin,