On prescribed characteristic polynomials

2024/03/22 by Danchev, Peter, García, Esther, Lozano, Miguel Gómez · 1 citation
#15A15 #15A21 #15A83 #FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.2403.15138

Abstract

Let \mathbbF be a field. We show that given any nth degree monic polynomial q(x)∈ \mathbbF[x] and any matrix A∈\mathbbM_n(\mathbbF) whose trace coincides with the trace of q(x) and consisting in its main diagonal of k 0-blocks of order one, with k

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