Second-order conditions for an exact penalty function

descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 1980 English Publisher:Springer Science and Business Media LLCJournal:Mathematical Programming, volume 19, pages 178-185 (issn: 0025-5610, eissn: 1436-4646,

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Authors: Thomas F. Coleman; Andrew R. Conn;

doi: 10.1007/bf01581639

Second-order conditions for an exact penalty function

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Abstract

In this paper we give first- and second-order conditions to characterize a local minimizer of an exact penalty function. The form of this characterization gives support to the claim that the exact penalty function and the nonlinear programming problem are closely related. In addition, we demonstrate that there exist arguments for the penalty function from which there are no descent directions even though these points are not minimizers.

Related Organizations

University of Waterloo
Canada
Argonne National Laboratory
United States

Keywords

optimality conditions, characterization of a local solution, Numerical mathematical programming methods, Optimality conditions for minimax problems, Nonlinear programming, penalty function, constrained optimization

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