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
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Matrix inverse problem and its optimal approximation problem for R-symmetric matrices
چکیده انگلیسی
Let R∈Cn×n be a nontrivial involution, i.e., R2=I and R≠±I. A matrix A∈Cn×n is called R-symmetric if RAR=A. The solvability conditions and the expression of the matrix inverse problem for R-symmetric matrices with R∗=R are derived, also the least-squares solutions of the matrix inverse problem for R-symmetric matrices with R∗=R are given. The corresponding optimal approximation problem for R-symmetric matrices with R∗=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
نویسندگان
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