Copositive matrices with nondecreasing off-diagonal entries admit a PSD plus nonnegative decomposition, which implies exactness of a natural relaxation for separable quadratic optimization over the simplex.
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Tridimensional tensors are studied for degeneracy and related properties via geometric analysis of determinantal schemes linked to hypermatrices, following ideas from Schläfli.
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Copositive Matrices with Ordered Off-Diagonal Entries
Copositive matrices with nondecreasing off-diagonal entries admit a PSD plus nonnegative decomposition, which implies exactness of a natural relaxation for separable quadratic optimization over the simplex.
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Some remarks on degeneracy of tridimensional tensors
Tridimensional tensors are studied for degeneracy and related properties via geometric analysis of determinantal schemes linked to hypermatrices, following ideas from Schläfli.