Geodesic
Identifying Active Constraints via Partial Smoothness and Prox-Regularity
Journal of convex analysis, Tome 11 (2004) no. 2, pp. 251-266
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Active set algorithms, such as the projected gradient method in nonlinear optimization, are designed to "identify" the active constraints of the problem in a finite number of iterations. Using the notions of "partial smoothness" and "prox-regularity" we extend work of Burke, More and Wright on identifiable surfaces from the convex case to a general nonsmooth setting. We further show how this setting can be used in the study of sufficient conditions for local minimizers.
Mots-clés : nonlinear program, nonsmooth optimization, variational analysis, partly smooth, prox-regular, identifiable surface, projected gradient 
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     author = {W. L. Hare and A. S. Lewis},
     title = {Identifying {Active} {Constraints} via {Partial} {Smoothness} and {Prox-Regularity}},
     journal = {Journal of convex analysis},
     pages = {251--266},
     year = {2004},
     volume = {11},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/JCA_2004_11_2_JCA_2004_11_2_a0/}
}
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W. L. Hare; A. S. Lewis. Identifying Active Constraints via Partial Smoothness and Prox-Regularity. Journal of convex analysis, Tome 11 (2004) no. 2, pp. 251-266. http://geodesic.mathdoc.fr/item/JCA_2004_11_2_JCA_2004_11_2_a0/