The solvability conditions for the inverse eigenvalue problem of the symmetrizable matrices

被引：8

作者：

Deng, YB ^{[1
]}

Hu, XY ^{[1
]}

Zhang, L ^{[1
]}

机构：

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

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2004年 / 163卷 / 01期

基金：

中国国家自然科学基金;

关键词：

symmetrizable matrices; inverse eigenvalue problem; optimal approximation; matrix norm;

D O I：

10.1016/j.cam.2003.08.056

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The necessary and sufficient conditions for the solvability of the inverse eigenvalue problern AX = XLambda over the class of the symmetrizable matrices are discussed, the general expression of the solution is given. Moreover, the related optimal approximation problem to a given matrix over the solution set is solved. (C) 2003 Published by Elsevier B.V.

引用

页码：101 / 106

页数：6

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