3 papers
math.AG2024
The NIEP is solvable by reality and finitely many polynomial inequalities
Jared J. L. Brannan, Benjamin J. Clark
The nonnegative inverse eigenvalue problem (NIEP) is shown to be solvable by the reality condition, spectrum equal to its conjugate, as well as by a finite union and intersection o…
math.RA2024
Properties of the cone of polynomials of fixed degree that preserve nonnegative matrices
Jared J. L. Brannan, Benjamin J. Clark, Garrett J. Kepler
As was detailed by Loewy and London in [Linear and Multilinear Algebra 6 (1978/79), no.~1, 83--90], the cone of polynomials that preserve the nonnegativity of matrices may play an…
math.RA2024
Polynomials that preserve nonnegative monomial matrices
Benjamin J. Clark, Pietro Paparella
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 th…