84 citations · 160 across the 18 of their papers we have counts for
4 papers · 1 filter
A real moment-HSOS hierarchy for complex polynomial optimization with real coefficients
Jie Wang, Victor Magron
This paper proposes a real moment-HSOS hierarchy for complex polynomial optimization problems with real coefficients. We show that this hierarchy provides the same sequence of lowe…
A more efficient reformulation of complex SDP as real SDP
Jie Wang
This note proposes a new reformulation of complex semidefinite programs (SDPs) as real SDPs. As an application, we present an economical reformulation of complex SDP relaxations of…
Solving Low-Rank Semidefinite Programs via Manifold Optimization
Jie Wang, Liangbing Hu
We propose a manifold optimization approach to solve linear semidefinite programs (SDP) with low-rank solutions, with an emphasis on SDP relaxations for polynomial optimization pro…
State polynomials: positivity, optimization and nonlinear Bell inequalities
Igor Klep, Victor Magron, Jurij Volčič +1
This paper introduces state polynomials, i.e., polynomials in noncommuting variables and formal states of their products. A state analog of Artin's solution to Hilbert's 17th probl…