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math.OC2022★ 2 cited
Approximation hierarchies for copositive cone over symmetric cone and their comparison
Mitsuhiro Nishijima, Kazuhide Nakata
We first provide an inner-approximation hierarchy described by a sum-of-squares (SOS) constraint for the copositive (COP) cone over a general symmetric cone. The hierarchy is a gen…
math.OC2022
Generalizations of doubly nonnegative cones and their comparison
Mitsuhiro Nishijima, Kazuhide Nakata
In this study, we examine the various extensions of the doubly nonnegative (DNN) cone, frequently used in completely positive programming (CPP) to achieve a tighter relaxation than…