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.
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页码：1529 / 1537
页数：9
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