On weak monotonicity of the powers of nonnegative matrices
S. K. Jain, Ananda D. Gunawardena, L. Snyder · Linear and Multilinear Algebra · 1990
The purpose of this paper is to study conditions under which the powers of a square matrix A are weak monotone. Necessary and sufficient conditions under which the product of any two weak monotone matrices is weak monotone are also obtained. Several examples are given to illustrate the necessity of the conditions stated.