Quantifier Elimination for Normal Cone Computations

Michael Mandlmayr; Ali Kemal Uncu

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arXiv · 2402.05579

Quantifier Elimination for Normal Cone Computations

Michael Mandlmayr·Ali Kemal Uncu

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Abstract

We present effective procedures to calculate regular normal cones and other related objects using quantifier elimination. This method of normal cone calculations is complementary to computing Lagrangians and it works best at points where the constraint qualifications fail and extra work for other methods becomes inevitable. This method also serves as a tool to calculate the regular co-derivative for semismooth* Newton methods. We list algorithms and their demonstrations of different use cases for this approach.

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Michael Mandlmayr, Ali Kemal Uncu. 2024-02-08. Quantifier Elimination for Normal Cone Computations. https://arxiv.org/abs/2402.05579

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