Polynomials that preserve nonnegative monomial matrices

2024/01/03 by Clark, Benjamin J., Paparella, Pietro
#FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.2401.01471

Abstract

A recently-established necessary condition for polynomials that preserve the class of entrywise nonnegative matrices of a fixed order is shown to be necessary and sufficient for the class of nonnegative monomial matrices. Along the way, we provide a formula for computing an arbitrary power of a monomial matrix and a formula for computing the polynomial of a nonnegative monomial matrix.

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