A note on a conjecture concerning rank one perturbations of singular M-matrices

被引：0

作者：

Anehila, B. ^{[1
]}

Ran, A. C. M. ^{[2
,3
]}

机构：

[1] ROC Mondriaan, Theresiastr 8, NL-2593 AN The Hague, Netherlands

[2] Vrije Univ Amsterdam, Dept Math, Fac Sci, De Boelelaan 1111, NL-1081 HV Amsterdam, Netherlands

[3] North West Univ, Res Focus Pure & Appl Analyt, Potchefstroom, South Africa

来源：

QUAESTIONES MATHEMATICAE | 2022年 / 45卷 / 10期

关键词：

Rank one perturbations; M-matrices; SPECTRAL PROPERTIES; EIGENVALUES;

D O I：

10.2989/16073606.2021.1951871

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A conjecture from [3] concerning the location of eigenvalues of rank one perturbations of singular M-matrices is shown to be false in dimension four and higher, but true for dimension two, as well as for dimension three with an additional condition on the perturbation.

引用

页码：1529 / 1537

页数：9

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