The inverse problem of centrosymmetric matrices with a submatrix constraint

被引：4

作者：

Peng, ZY ^{[1
]}

Hu, XY

Zhang, L

机构：

[1] Hunan Univ Sci & Technol, Dept Math, Xinagtan 411201, Peoples R China

[2] Hunan Univ, Coll Math & Econometr, Changsha 410082, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL MATHEMATICS | 2004年 / 22卷 / 04期

关键词：

matrix norm; centrosymmetric matrix; inverse problem; optimal approximation;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By using Moore-Penrose generalized inverse and the general singular value decomposition of matrices, this paper establishes the necessary and sufficient conditions for the existence of and the expressions for the centrosymmetric solutions with a submatrix constraint of matrix inverse problem AX = B. In addition, in the solution set of corresponding problem, the expression of the optimal approximation solution to a given matrix is derived.

引用

页码：535 / 544

页数：10

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