Spectral perturbation by rank-$m$ matrices

Autor:	Merzel, Jonathan L., Mináč, Ján, Nguyen, Tung T., Pasini, Federico W.
Rok vydání:	2023
Předmět:	Mathematics - Spectral Theory
Druh dokumentu:	Working Paper
Popis:	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 $\le m$? Comment: To appear in Operators and Matrices
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2306.10253 Zobrazit plný text záznamu View this record from Arxiv