Spectral perturbation by rank m matrices

IF 0.6 4区数学 Q3 MATHEMATICS

Operators and Matrices Pub Date : 2023-01-01 DOI:10.7153/oam-2023-17-58

Jonathan L. Merzel, Ján Mináč, Tung T. Nguyen, Federico W. Pasini

引用次数: 0

Abstract

Let $A$ and $B$ designate $n\times n$ 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 $\le m$?

查看原文本刊更多论文

秩m矩阵的谱摄动

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Operators and Matrices 数学-数学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

7 months

期刊介绍： ''Operators and Matrices'' (''OaM'') aims towards developing a high standard international journal which will publish top quality research and expository papers in matrix and operator theory and their applications. The journal will publish mainly pure mathematics, but occasionally papers of a more applied nature could be accepted. ''OaM'' will also publish relevant book reviews. ''OaM'' is published quarterly, in March, June, September and December.