An inverse eigenvalue problem for symmetrical tridiagonal matrices

被引：27

作者：

Pickmann, Hubert ^{[1
]}

Soto, Ricardo L. ^{[1
]}

Egana, J. ^{[1
]}

Salas, Mario ^{[1
]}

机构：

[1] Univ Catolica Norte, Dept Matemat, Antofagasta, Chile

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2007年 / 54卷 / 05期

关键词：

symmetrical tridiagonal matrices; matrix inverse eigenvalue problem;

D O I：

10.1016/j.camwa.2006.12.035

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the following inverse eigenvalue problem: to construct a symmetrical tridiagonal matrix from the minimal and maximal eigenvalues of all its leading principal submatrices. We give a necessary and sufficient condition for the existence of such a matrix and for the existence of a nonnegative symmetrical tridiagonal matrix. Our results are constructive, in the sense that they generate an algorithmic procedure to construct the matrix. (c) 2007 Elsevier Ltd. All rights reserved.

引用

页码：699 / 708

页数：10

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