Journal of East China Normal University(Natural Sc ›› 2008, Vol. 2008 ›› Issue (5): 35-44.
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WU Hong-lin
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Abstract: 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.
Key words: irreducible matrix, digraph, nonnegative monomial matrix, Frobenius normal form , nonnegative matrix, irreducible matrix, digraph, nonnegative monomial matrix, Frobenius normal form
CLC Number:
O151.21
O157.1
O157.5
O157.6
WU Hong-lin. Nonnegative matrices decomposable into products of irreducible nonnegative matrices(English)[J]. Journal of East China Normal University(Natural Sc, 2008, 2008(5): 35-44.
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