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WU Hong-lin. Nonnegative matrices decomposable into products of irreducible nonnegative matrices(English)[J]. Journal of East China Normal University (Natural Sciences), 2008, (5): 35-44.
Citation:
WU Hong-lin. Nonnegative matrices decomposable into products of irreducible nonnegative matrices(English)[J]. Journal of East China Normal University (Natural Sciences), 2008, (5): 35-44.
WU Hong-lin. Nonnegative matrices decomposable into products of irreducible nonnegative matrices(English)[J]. Journal of East China Normal University (Natural Sciences), 2008, (5): 35-44.
Citation:
WU Hong-lin. Nonnegative matrices decomposable into products of irreducible nonnegative matrices(English)[J]. Journal of East China Normal University (Natural Sciences), 2008, (5): 35-44.
This paper gave a necessary and sufficient condition for an n times n nonnegative matrix to be decomposed into a product of irreducible nonnegative matrices. It also showed that when such a decomposition is possible, the number of factors can be required to be at most three. The methods used here are constructive, and the factors can be presented.