Quadratic smoothing approximation to 1/2-order exact penalty function

Title: Quadratic smoothing approximation to 1/2-order exact penalty function
Creator: Bai, Fusheng; Wu, Zhiyou
Date: 2010
Type: Text; Conference paper
Identifier: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/33584
Identifier: vital:3675
Identifier: https://doi.org/10.1109/ICGCS.2010.5543030
Identifier: ISBN:9781424468775
Abstract: In this paper, we propose a quadratic smoothing approximation to the 1/2-order exact penalty function. It is shown that when the penalty parameter of the smoothed penalty problem with the smoothing approximation function being penalty function is sufficiently large, any global minimizer of the smoothed penalty problem is an approximate feasible point of the original optimization problem, and the difference between the original objective function value on a global minimizer of the smoothed penalty problem and the global optimal value of the original problem can be controlled by the smoothing parameter which can be set in advance. Two numerical examples are reported to show the effectiveness of the proposed quadratic smoothing approximation method. Â© 2010 IEEE.
Publisher: Shanghai : IEEE
Relation: Paper presented at 1st International Conference on Green Circuits and Systems, ICGCS 2010, Shanghai : 21st-23rd June 2010 p. 409-413
Rights: Copyright IEEE
Rights: This metadata is freely available under a CCO license
Subject: Quadratic programming; Smoothing methods

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