Interior points of the completely positive cone
نویسندگان
چکیده
منابع مشابه
Interior points of the completely positive cone
A matrix A is called completely positive if it can be decomposed as A = BBT with an entrywise nonnegative matrix B. The set of all such matrices is a convex cone which plays a role in certain optimization problems. A characterization of the interior of this cone is provided.
متن کاملAn improved characterisation of the interior of the completely positive cone
A symmetric matrix is defined to be completely positive if it allows a factorisation BB , 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 Dür and Still [M. Dür and G. Still, Interior points of the completely positive cone, Electronic Journal of Linear Algebra, 17:48...
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A symmetric matrix is defined to be completely positive if it allows a factorisation BB , 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 Dür and Still [M. Dür and G. Still, Interior points of the completely positive cone, Electronic Journal of Linear Algebra, 17:48...
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A symmetric matrix is defined to be completely positive if it allows a factorisation BB , 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 Dür and Still [7]. In this paper we introduce the concept of the set of zeros in the nonnegative orthant for a quadratic form an...
متن کاملSymmetric Tensor Approximation Hierarchies for the Completely Positive Cone
In this paper we construct two approximation hierarchies for the completely positive cone based on symmetric tensors. We show that one hierarchy corresponds to dual cones of a known polyhedral approximation hierarchy for the copositive cone, and the other hierarchy corresponds to dual cones of a known semidefinite approximation hierarchy for the copositive cone. As an application, we consider a...
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ژورنال
عنوان ژورنال: The Electronic Journal of Linear Algebra
سال: 2008
ISSN: 1081-3810
DOI: 10.13001/1081-3810.1248