Spectral perturbation by rank one matrices

Abstract

Let $A$ be a matrix of size $n\times n$ over an algebraically closed field $F$ and $q(t)$ a monic polynomial of degree $n$. In this article, we describe the necessary and sufficient conditions of $q(t)$ so that there exists a rank one matrix $B$ such that the characteristic polynomial of $A+B$ is $q(t)$.

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References in corpus (1)

• Circulants and critical points of polynomials