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arxiv: 1506.08338 · v1 · pith:KBCUVJSFnew · submitted 2015-06-27 · 🧮 math.OC

Certificates of infeasibility via nonsmooth optimization

classification 🧮 math.OC
keywords boxesnonsmoothoptimizationcertificateconstrainedexclusioninfeasibilityproblem
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An important aspect in the solution process of constraint satisfaction problems is to identify exclusion boxes which are boxes that do not contain feasible points. This paper presents a certificate of infeasibility for finding such boxes by solving a linearly constrained nonsmooth optimization problem. Furthermore, the constructed certificate can be used to enlarge an exclusion box by solving a nonlinearly constrained nonsmooth optimization problem.

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