Mathematics of Operations Research
Lectures on modern convex optimization: analysis, algorithms, and engineering applications
Lectures on modern convex optimization: analysis, algorithms, and engineering applications
Global Optimization with Polynomials and the Problem of Moments
SIAM Journal on Optimization
Robust Truss Topology Design via Semidefinite Programming
SIAM Journal on Optimization
Convex Optimization
More output-sensitive geometric algorithms
SFCS '94 Proceedings of the 35th Annual Symposium on Foundations of Computer Science
Dualize it: software for automatic primal and dual conversions of conic programs
Optimization Methods & Software
SIAM Review
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Determining whether an ellipsoid contains the intersection of many concentric ellipsoids is an NP-hard problem. In this paper, we study various convex relaxations of this problem, namely two semidefinite relaxations and a second-order cone relaxation. We establish some links between these relaxations and perform extensive numerical testings to verify their exactness, their computational load and their stability. As an application of this problem, we study an issue emerging from an aircraft wing design problem: how can we simplify the description of a feasible loads region?