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math.RA2026
Decomposition of a square matrix into a product of a nilpotent matrix and an involutive or idempotent matrix
Flavien Mabilat
In this note, we give a complete characterization of square matrices of size over a commutative field which can be expressed as a product of a nilpotent matrix and an involutiv…
math.RA2026
Product of two matrices similar to companion matrices over sufficiently large fields
Flavien Mabilat
In this note, we prove that a square matrix of size over a field containing at least elements can be expressed as the product of two matrices similar to companion matrices…
math.RA2023
A dense subset of containing diagonalizable matrices
Flavien Mabilat
In this note, we consider matrices similar to -form matrices, which are the matrices for which only the diagonal and the anti-diagonal elements can be different from zero. First…