SPECTRAL PERTURBATION BY RANK m MATRICES

被引：0
|
作者：
Merzel, Jonathan L. [1 ]
Minac, Jan [2 ]
Nguyen, Tung T. [2 ]
Pasini, Federico W. [3 ]
机构：
[1] Soka Univ Amer, Dept Math, 1 Univ Dr, Aliso Viejo, CA 92656 USA
[2] Univ Western Ontario, Dept Math, London, ON N6A 5B7, Canada
[3] Huron Univ Coll, London, ON, Canada
来源：
OPERATORS AND MATRICES | 2023年 / 17卷 / 03期
基金：
加拿大自然科学与工程研究理事会;
关键词：
Rank-m perturbation; eigenspectra; matrix theory; LARGEST EIGENVALUE;
D O I：
10.7153/oam-2023-17-58
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let A and B designate n x n matrices with coefficients in a field F . In this paper, we completely answer the following question: For A fixed, what are the possible characteristic polynomials of A+B, where B ranges over matrices of rank m?
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页码：867 / 874
页数：8
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