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.
[KR25] Viatcheslav Kharlamov and Rareş Răsdeaconu
2 Pith papers cite this work. Polarity classification is still indexing.
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Constructs fixed-point topological groupoid for groupoids with involution and proves coincidence with real locus of Deligne-Mumford stacks over R, with a proposed Smith-Thom conjecture.
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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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Topological groupoids with involution and real algebraic stacks
Constructs fixed-point topological groupoid for groupoids with involution and proves coincidence with real locus of Deligne-Mumford stacks over R, with a proposed Smith-Thom conjecture.