Geodesic
The combinatorial structure of eventually nonnegative matrices
The electronic journal of linear algebra, Tome 9 (2002), pp. 255-269.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: In this paper it is shown that an eventually nonnegative matrix A whose index of zero is less than or equal to one, exhibits many of the same combinatorial properties as a nonnegative matrix. In particular, there is a positive integer g such that Ag is nonnegative, A and Ag have the same irreducible classes, and the transitive closure of the reduced graph of A is the same as the transitive closure of the reduced graph of Ag. In this instance, many of the combinatorial properties of nonnegative matrices carry over to this subclass of the eventually nonnegative matrices.
Classification : 15A18, 15A48, 15A21 
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     title = {The combinatorial structure of eventually nonnegative matrices},
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Naqvi, Sarah Carnochan; McDonald, Judith J. The combinatorial structure of eventually nonnegative matrices. The electronic journal of linear algebra, Tome 9 (2002), pp. 255-269. https://geodesic-test.mathdoc.fr/item/ELA_2002__9__a3/