Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4602189 | Linear Algebra and its Applications | 2009 | 10 Pages |
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.
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