Article ID Journal Published Year Pages File Type
4602189 Linear Algebra and its Applications 2009 10 Pages PDF
Abstract

Let RM(n,d) be the class {A∣A is an n×n reducible nonnegative matrix and the greatest common divisor of the lengths of all cycles in D(A) is d}, where D(A) is the associated digraph of A. In this paper we determine the set of numbers of positive entries of A for A∈RM(n,d). We also characterize the reducible nonnegative matrices with the maximum and minimum numbers of positive entries.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory