ListarAGT - Artículos por tema "Matrices (Matemáticas)"
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Decompositions of matrices into a sum of invertible matrices and matrices of fixed nilpotence.
Danchev, Peter; García González, Esther; Gómez-Lozano, Miguel Ángel
(International Linear Algebra Society, 2023-08-24)
For any n ≥ 2 and fixed k ≥ 1, we give necessary and sufficient conditions for an arbitrary nonzero square matrix in the matrix ring Mn(F) to be written as a sum of an invertible matrix U and a nilpotent matrix N with Nk ... -
On prescribed characteristic polynomials.
Danchev, Peter; García González, Esther; Gómez-Lozano, Miguel Ángel (Elsevier, 2024-08-13)
Let F be a field. We show that given any nth degree monic polynomial q(x) ∈ F[x] and any matrix A ∈ Mn(F) whose trace coincides with the trace of q(x) and consisting in its main diagonal of k 0-blocks of order one, with k ...