摘要
A matrix A∈R<sup>nn</sup> is called an M-matrix if A = sI- B, where B≥0 and s≥ρ(B), the spectral radius of B. By Γ(A) we denote the directed graph associated with a matrix A. The reflexive-transitive closure of F(A) is defined to be = △∪Γ(A)∪Γ<sup>2</sup>(A)∪…, where symbol △ denotes the diagonal graph.