316 citations · 903 across the 32 of their papers we have counts for
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math.OC2017
Convexifiability of Continuous and Discrete Nonnegative Quadratic Programs for Gap-Free Duality
N. H. Chieu, V. Jeyakumar, G. Li
In this paper we show that a convexifiability property of nonconvex quadratic programs with nonnegative variables and quadratic constraints guarantees zero duality gap between the…
math.OC2017
SOS-convex Semi-algebraic Programs and its Applications to Robust Optimization: A Tractable Class of Nonsmooth Convex Optimization
N. H. Chieu, J. W. Feng, W. Gao +2
In this paper, we introduce a new class of nonsmooth convex functions called SOS-convex semialgebraic functions extending the recently proposed notion of SOS-convex polynomials. Th…
math.OC2017
Extended Trust-Region Problems with One or Two Balls: Exact Copositive and Lagrangian Relaxations
I. M. Bomze, V. Jeyakumar, G. Li
We establish a geometric condition guaranteeing exact copositive relaxation for the nonconvex quadratic optimization problem under two quadratic and several linear constraints, and…