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2013 Smoothing Approximation to the Square-Order Exact Penalty Functions for Constrained Optimization
Shujun Lian, Jinli Han
J. Appl. Math. 2013: 1-7 (2013). DOI: 10.1155/2013/568316

Abstract

A method is proposed to smooth the square-order exact penalty function for inequality constrained optimization. It is shown that, under some conditions, an approximately optimal solution of the original problem can be obtained by searching an approximately optimal solution of the smoothed penalty problem. An algorithm based on the smoothed penalty functions is given. The algorithm is shown to be convergent under mild conditions. Two numerical examples show that the algorithm seems efficient.

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Shujun Lian. Jinli Han. "Smoothing Approximation to the Square-Order Exact Penalty Functions for Constrained Optimization." J. Appl. Math. 2013 1 - 7, 2013. https://doi.org/10.1155/2013/568316

Information

Published: 2013
First available in Project Euclid: 14 March 2014

zbMATH: 06950752
MathSciNet: MR3122114
Digital Object Identifier: 10.1155/2013/568316

Rights: Copyright © 2013 Hindawi

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