Geodesic
Some characterizations of totally nonpositive (totally negative) matrices
The electronic journal of linear algebra, Tome 20 (2010), pp. 241-253.

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

Summary: An n $\times m$ real matrix A is said to be totally nonpositive (totally negative) if every minor is nonpositive (negative). In this paper, we study characterizations of these classes of matrices by minors, by their full rank factorization and by their thin QR factorization.
Classification : 65F40, 15A15, 15A23
Keywords: totally nonpositive and totally negative matrices, full rank factorization, thin QR factorization 
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     title = {Some characterizations of totally nonpositive (totally negative) matrices},
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Canto, Rafael; Ricarte, Beatriz; Urbano, Ana Maria. Some characterizations of totally nonpositive (totally negative) matrices. The electronic journal of linear algebra, Tome 20 (2010), pp. 241-253. http://geodesic.mathdoc.fr/item/ELA_2010__20__a36/