Inverse Eigenvalue Problems and Their Associated Approximation Problems for Matrices with J-(Skew) Centrosymmetry

被引：0

作者：

Liu, Zhong-Yun ^{[1
]}

Duan, You-Cai ^{[1
]}

Lai, Yun-Feng ^{[1
]}

Zhang, Yu-Lin

机构：

[1] Changsha Univ Sci & Technol, Sch Math, Changsha 410076, Hunan, Peoples R China

来源：

OPTIMIZATION AND SYSTEMS BIOLOGY | 2009年 / 11卷

基金：

中国国家自然科学基金;

关键词：

J-centrosymmetric matrices; J-skew centrosymmetric; Inverse eigenvalue problem; optimal approximation;

D O I：

暂无

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

The inverse problems play an important role in MEG reconstructions [3, 4, 5, 6, 7]. In this paper, a partially described inverse eigenvalue problem and an associated optimal approximation problem for J-centrosymmetric matrices are considered respectively. It is shown under which conditions the inverse eigenproblem has a solution. An expression of its general solution is given. In case a solution of the inverse eigenproblem exists, the optimal approximation problem can be solved. The formula of its unique solution is given. Also, the case for J-skew centrosymmetric matrices is considered.

引用

页码：329 / +

页数：3

共 12 条

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