Generalized Inverse Eigenvalue Problem for (P,Q)-Conjugate Matrices and the Associated Approximation Problem

被引：1

作者：

DAI Lifang ^{[1
]}

LIANG Maolin ^{[1
]}

机构：

[1] School of Mathematics and Statistics,Tianshui Normal University

来源：

Wuhan University Journal of Natural Sciences | 2016年 / 21卷 / 02期

关键词：

generalized inverse eigenvalue problem; least residual problem; (P; Q)-conjugate matrices; generalized singular value decomposition(GSVD); canonical correlation decomposition(CCD); optimal approximation;

D O I：

暂无

中图分类号：

O151.21 [矩阵论];

学科分类号：

070104 ;

摘要：

In this paper, the generalized inverse eigenvalue problem for the(P,Q)-conjugate matrices and the associated approximation problem are discussed by using generalized singular value decomposition(GSVD). Moreover, the least residual problem of the above generalized inverse eigenvalue problem is studied by using the canonical correlation decomposition(CCD). The solutions to these problems are derived. Some numerical examples are given to illustrate the main results.

引用

页码：93 / 98

页数：6

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