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Topics in Lipschitz global optimisation

Published online by Cambridge University Press:  17 April 2009

Baoping Zhang
Affiliation:
Department of Mathematics and Statistics, University of Canterbury, Private Bag 4800, Christchurch, New Zealand
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Abstract

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Type
Abstracts of Australasian PhD Theses
Copyright
Copyright © Australian Mathematical Society 1997

References

[1]Mladineo, R.H., ‘An algorithm for finding the global maximum of a multi-modal, multi-variate function’, Math. Programming 34 (1986), 185200.Google Scholar
[2]Pinter, J., ‘Extended univariate algorithms for n–diemnsional global optimization’, Computing 36 (1986), 91103.Google Scholar
[3]Pinter, J., ‘Globally convergent methods for n–dimensional multi-extremal optimization’, Optimization 17 (1986).Google Scholar
[4]Piyavskii, S.A., ‘An algorithm for finding the absolute extremum of a function’, (original in Russian, 1967), USSR Comput. Math and Math. Phys. 12 (1972), 5767.Google Scholar
[5]Shubert, B.O., ‘A sequential method seeking the global maximum of a function’, SIAM J. Numer. Anal. 9 (1972), 379388.Google Scholar
[6]Wood, G.R., ‘The bisection algorithm in higher dimensions’, Math. Programming 55 (1992), 317338.Google Scholar
[7]Zabinsky, Z.B. and Smith, R.L., ‘Pure adaptive search in global optimization’, Math. Programming 53 (1992), 323338.Google Scholar