Geodesic
An improved characterisation of the interior of the completely positive cone
The electronic journal of linear algebra, Tome 20 (2010), pp. 723-729.

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

Summary: A symmetric matrix is defined to be completely positive if it allows a factorisation BB T, where B is an entrywise nonnegative matrix. This set is useful in certain optimisation problems. The interior of the completely positive cone has previously been characterised by D$\ddot $ur and Still [M. D$\ddot $ur and G. Still, Interior points of the completely positive cone, Electronic Journal of Linear Algebra , 17:48-53, 2008]. In this paper, we introduce the concept of the set of zeros in the nonnegative orthant for a quadratic form, and use the properties of this set to give a more relaxed characterisation of the interior of the completely positive cone.
Classification : 15A23, 15B48
Keywords: completely positive matrices, copositive matrices, cones of matrices 
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     title = {An improved characterisation of the interior of the completely positive cone},
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Dickinson, Peter J.C. An improved characterisation of the interior of the completely positive cone. The electronic journal of linear algebra, Tome 20 (2010), pp. 723-729. http://geodesic.mathdoc.fr/item/ELA_2010__20__a3/