Formal Power Series and the Spectra of Nonnegative Real Matrices
Thomas J. Laffey · Mathematical Proceedings of the Royal Irish Academy · 2013
One of the research interests of Trevor West was the Perron-Frobenius theory of nonnegative matrices and its extensions to infinite dimensions. We present some connections between the characteristic polynomials of nonnegative matrices A and the sign patterns of the Taylor expansions about t = 0 of fractional powers of det(I-tA).