Power series with positive coefficients arising from the characteristic polynomials of positive matrices

Abstract

Let A be an nxn (entrywise) positive matrix and let f(t)=det(I-t A). We prove that there always exists a positive integer N such that 1-f(t)^{1/N} has positive coefficients.

26 pages

References in corpus (1)

• A note on the nonzero spectrum of irreducible matrices