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A bridging method for global optimization

Published online by Cambridge University Press:  17 February 2009

Y. Liu  and
K. L. Teo
Y. Liu
Affiliation:
School of Mathematics and Statistics, Curtin University of Technology, Perth, WA 6001, Australia.
K. L. Teo
Affiliation:
School of Mathematics and Statistics, Curtin University of Technology, Perth, WA 6001, Australia.
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Abstract

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In this paper a bridging method is introduced for numerical solutions of one-dimensional global optimization problems where a continuously differentiable function is to be minimized over a finite interval which can be given either explicitly or by constraints involving continuously differentiable functions. The concept of a bridged function is introduced. Some properties of the bridged function are given. On this basis, several bridging algorithm are developed for the computation of global optimal solutions. The algorithms are demonstrated by solving several numerical examples.

Information

Type
Research Article
Information
The ANZIAM Journal , Volume 41 , Issue 1 , July 1999 , pp. 41 - 57
Copyright
Copyright © Australian Mathematical Society 1999

References

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