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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4 Pith papers cite this work. Polarity classification is still indexing.
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Establishes equivalence between Hankel flat extension and multiplication tensor completion for cactus rank in Artinian Gorenstein algebras, plus reduction of basis shapes via Borel-fixed staircases.
Gives explicit characterization and algorithm for Waring decompositions of symmetric tensors on rational varieties under a technical assumption, generalizing Hankel tensors, plus new quadrature bounds on rational curves.
Tridimensional tensors are studied for degeneracy and related properties via geometric analysis of determinantal schemes linked to hypermatrices, following ideas from Schläfli.
citing papers explorer
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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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Hankel and Multiplication Tensor Completions for Cactus Rank
Establishes equivalence between Hankel flat extension and multiplication tensor completion for cactus rank in Artinian Gorenstein algebras, plus reduction of basis shapes via Borel-fixed staircases.
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Symmetric tensor decomposition on rational varieties
Gives explicit characterization and algorithm for Waring decompositions of symmetric tensors on rational varieties under a technical assumption, generalizing Hankel tensors, plus new quadrature bounds on rational curves.
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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.