2 citations · 2 across the 2 of their papers we have counts for
2 papers
math.OC2019
Doubly nonnegative relaxations are equivalent to completely positive reformulations of quadratic optimization problems with block-clique graph structures
Sunyoung Kim, Masakazu Kojima, Kim-Chuan Toh
We study the equivalence among a nonconvex QOP, its CPP and DNN relaxations under the assumption that the aggregated and correlative sparsity of the data matrices of the CPP relaxa…
math.OC2019★ 2 cited
A Geometrical Analysis of a Class of Nonconvex Conic Programs for Convex Conic Reformulations of Quadratic and Polynomial Optimization Problems
Sunyoung Kim, Masakazu Kojima, Kim-Chuan Toh
We present a geometrical analysis on the completely positive programming reformulation of quadratic optimization problems and its extension to polynomial optimization problems with…