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A note on continuous search algorithms

Published online by Cambridge University Press:  14 July 2016

L. E. Garey  and
R. D. Gupta
L. E. Garey*
Affiliation:
University of New Brunswick
R. D. Gupta*
Affiliation:
University of New Brunswick
*
∗Postal address: Division of Mathematics, Engineering and Computer Science, University of New Brunswick, P.O. Box 5050, St. John, N.B., Canada E2L 4L5.
∗Postal address: Division of Mathematics, Engineering and Computer Science, University of New Brunswick, P.O. Box 5050, St. John, N.B., Canada E2L 4L5.
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Abstract

Continuous random search methods with an average complexity given by O(log(1/ε)) for ε → 0 where ε is a given accuracy were presented in a recent paper. In this article an example of an O(log log(1/ε)) method is presented and illustrated.

Keywords

RANDOM SEARCHROOT LOCATION METHODSAVERAGE COMPLEXITY
Type
Short Communications
Information
Journal of Applied Probability , Volume 24 , Issue 1 , March 1987 , pp. 277 - 280
Copyright
Copyright © Applied Probability Trust 1987 

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Footnotes

Supported by NSERC of Canada under grants A8196 and A4850.

References

Armenakis, A. C., Garey, L. E. and Gupta, R. D. (1984) A report on search methods for static disk files. APICS Computer Science Conference, University of New Brunswick, Canada, 9–22.Google Scholar
Burton, F. W. and Lewis, G. W. (1980) A robust variation of interpolation search. Inf. Processing Letters 10, 198–201.Google Scholar
Dowell, M. and Jarratt, P. (1972) The Pegasus method for computing the root of an equation. BIT 12, 503–508.10.1007/BF01932959Google Scholar
Perl, Y., Itai, A. and Avni, H. (1978) Interpolation search — a Log Log N search. Comm. Assoc. Comput. Mach. 21, 550–553.Google Scholar
Pfeifer, D. (1985) An average case analysis for a continuous random search algorithm. Adv. Appl. Prob. 17, 231–233.Google Scholar
Ralston, A. (1965) A First Course in Numerical Analysis. McGraw-Hill, New York.Google Scholar