A family of realizability criteria for the real and symmetric nonnegative inverse eigenvalue problem

被引：19

作者：

Soto, Ricardo L. ^{[1
]}

机构：

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

来源：

NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS | 2013年 / 20卷 / 02期

关键词：

real and symmetric nonnegative inverse eigenvalue problem; COMPENSATION;

D O I：

10.1002/nla.835

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A new realizability criterion for the real nonnegative inverse eigenvalue problemis introduced. This criterion is a nontrivial extension of a powerful previous sufficient condition, based on negativity compensation. If the criterion is satisfied, then we can always construct a realizing matrix. It is also proved that this new criterion is easily adaptable to be sufficient for the construction of a symmetric nonnegative matrixwith given spectrum. In a natural way, the criterion extends to a family of sufficient conditions for the problem to have a solution. Copyright (c) 2011 John Wiley & Sons, Ltd.

引用

页码：336 / 348

页数：13

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