54 citations · 155 across the 71 of their papers we have counts for
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math.OC2011
Convex Hulls of Quadratically Parameterized Sets With Quadratic Constraints
Jiawang Nie
Let V be a semialgebraic set parameterized by quadratic polynomials over a quadratic set T. This paper studies semidefinite representation of its convex hull by projections of spec…
math.OC2011★ 1 cited
Certifying Convergence of Lasserre's Hierarchy via Flat Truncation
Jiawang Nie
This paper studies how to certify the convergence of Lasserre's hierarchy of semidefinite programming relaxations for solving multivariate polynomial optimization. We propose flat…
math.FA2011★ 1 cited
A Semidefinite Approach for Truncated K-Moment Problems
J. William Helton, Jiawang Nie
A truncated moment sequence (tms) of degree d is a vector indexed by monomials whose degree is at most d. Let K be a semialgebraic set.The truncated K-moment problem (TKMP) is: whe…