Existence and sum decomposition of vertex polyhedral convex envelopes

@article{Tardella2008ExistenceAS,
  title={Existence and sum decomposition of vertex polyhedral convex envelopes},
  author={Fabio Tardella},
  journal={Optimization Letters},
  year={2008},
  volume={2},
  pages={363-375}
}
Convex envelopes are a very useful tool in global optimization. However finding the exact convex envelope of a function is a difficult task in general. This task becomes considerably simpler in the case where the domain is a polyhedron and the convex envelope is vertex polyhedral, i.e., has a polyhedral epigraph whose vertices correspond to the vertices of the domain. A further simplification is possible when the convex envelope is sum decomposable, i.e., the convex envelope of a sum of… CONTINUE READING

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