On Infinite Products of Nonnegative Matrices

The paper gives some sufficient conditions under which $\prod _{k = 1}^\infty A_k = \lim _{m \to \infty } (A_m A_{m - 1} \cdots A_1 )$ exists, where each $A_k ,k = 1,2, \cdots $, is $n \times n$ and nonnegative.