3 citations · 8 across the 6 of their papers we have counts for
6 papers
Matrices over Finite Fields of Characteristic 2 as Sums of Diagonalizable and Square-Zero Matrices
Peter Danchev, Esther García, Miguel Gómez Lozano
We investigate the problem asking when any square matrix whose entries lie in a finite field of characteristic 2 is decomposable into the sum of a diagonalizable matrix and a nilpo…
Matrices over finite fields of odd characteristic as sums of diagonalizable and square-zero matrices
Peter Danchev, Esther García, Miguel Gómez Lozano
Let be a finite field of odd characteristic. When , we prove that every matrix admits a decomposition into where is diagonalizable and…
Decompositions of Periodic Matrices into a Sum of Special Matrices
Peter Danchev, Esther García, Miguel Gómez Lozano
We study the problem of when a periodic square matrix of order over an arbitrary field is decomposable into the sum of a square-zero matrix and a torsion matrix, a…
On prescribed characteristic polynomials
Peter Danchev, Esther García, Miguel Gómez Lozano
Let be a field. We show that given any th degree monic polynomial and any matrix whose trace coincides with t…
Decompositions of Matrices Into a Sum of Torsion Matrices and Matrices of Fixed Nilpotence
Peter Danchev, Esther García, Miguel Gómez Lozano
For and fixed , we study when a square matrix over an arbitrary field can be decomposed as where is a torsion matrix and is a nilpot…
Decomposition of matrices into a sum of invertible matrices and matrices of fixed index
Peter Danchev, Esther García, Miguel Gómez Lozano
For any and fixed , we give necessary and sufficient conditions for an arbitrary nonzero square matrix in the matrix ring to be written…