A sufficient condition for the existence of an M-matrix with prescribed spectrum
A real n x n matrix A is said to be an Al-matrix if there exists a nonnegative matrix B with maximal eigenvalue r such that A = alphaI - B, where alpha greater than or equal to r. In this work, we present a sufficient condition for the existence of an M-matrix with prescribed complex spectrum. (C) 2001 Elsevier Science Ltd. All rights reserved.
m-matrices nonnegative matrices inverse eigenvalue problem