Estimating Tangent and Normal Cones Without Calculus

W. L. Hare
W. L. Hare
[email protected]
Advanced Optimization Laboratory, McMaster University, Hamilton, Ontario, Canada L8S 4K1
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,
A. S. Lewis
A. S. Lewis
[email protected]
School of Operations Research and Industrial Engineering, Cornell University, Ithaca, New York 14853
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W. L. Hare

[email protected]

Advanced Optimization Laboratory, McMaster University, Hamilton, Ontario, Canada L8S 4K1

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A. S. Lewis

[email protected]

School of Operations Research and Industrial Engineering, Cornell University, Ithaca, New York 14853

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Published Online:1 Nov 2005https://doi.org/10.1287/moor.1050.0163

Abstract

We study simple estimates of the tangent and normal cones to a set with a nonsmooth boundary. We seek estimates that are robust relative to the base point and that depend only on collections of nearby points known to lie inside and outside of the set.

cover image Mathematics of Operations Research

Volume 30, Issue 4

November 2005

Pages 785-1040

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Received:April 30, 2004
Published Online:November 01, 2005

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W. L. Hare, A. S. Lewis, (2005) Estimating Tangent and Normal Cones Without Calculus. Mathematics of Operations Research 30(4):785-799.

https://doi.org/10.1287/moor.1050.0163

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Estimating Tangent and Normal Cones Without Calculus

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Volume 30, Issue 4

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