Esther García

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20112026

most citedDecomposition of matrices into a sum of invertible matrices and matrices of fixed index

3 citations · 5 across the 5 of their papers we have counts for

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math.RA2023★ 2 cited

Decompositions of Matrices Into a Sum of Torsion Matrices and Matrices of Fixed Nilpotence

Peter Danchev, Esther García, Miguel Gómez Lozano

For $n \geq 2$ and fixed $k \geq 1$ , we study when a square matrix $A$ over an arbitrary field $F$ can be decomposed as $T + N$ where $T$ is a torsion matrix and $N$ is a nilpot…

math.RA2023★ 3 cited

Decomposition of matrices into a sum of invertible matrices and matrices of fixed index

Peter Danchev, Esther García, Miguel Gómez Lozano

For any $n \geq 2$ and fixed $k \geq 1$ , we give necessary and sufficient conditions for an arbitrary nonzero square matrix in the matrix ring $M_{n} (F)$ to be written…