The Inverse Generalized Eigenvalue Problem for Generalized Centro-anti-symmetric Matrices

被引：0
|
作者：
Wang, Xiangrong [1 ]
机构：
[1] Cangzhou Teachers Coll, Dept Math, Cangzhou 061001, Hebei, Peoples R China
来源：
ADVANCES IN MATRIX THEORY AND ITS APPLICATIONS, VOL II: PROCEEDINGS OF THE EIGHTH INTERNATIONAL CONFERENCE ON MATRIX THEORY AND ITS APPLICATIONS | 2008年
关键词：
generalized centro-anti-symmetric matrix; generalized eigenvalue; inverse problem; SVD;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Given matrix X, Lambda, find the generalized centro-anti-symmetric matrices solutions A, B of inverse generalized eigenvalue problem AX = BX Lambda. The general expression of solution to the problem is provided. The set of such solutions is denoted by S-[A,S-B]. The optimal approximation problem associated with S-[A,S-B] is posed, that is: to find the nearest triple matrix [A,B] from S-[A,S-B]. The existence and uniqueness of the optimal approximation problem is discussed and the expression is provided for the nearest triple matrix.
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页码：343 / 346
页数：4
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