秩m矩阵的谱摄动

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

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

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Spectral perturbation by rank m matrices

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 $\le m$?

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