Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4636967 | Applied Mathematics and Computation | 2006 | 8 Pages |
Abstract
We propose a new version of potentially optimal intervals for the DIRECT algorithm. A two-point based sampling method is presented. The method starts from a distinguished point (the peak point) by forming an initial triangle. The idea is to sample the midpoint of a specific interval: the basis of the resulting triangle. This specific interval is obtained by translating the initial interval towards the lowest function value: min{f(ci), f(ci+1)} and then overcoming the disadvantage if the global minimum lies at the boundaries. Two-dimensional version of our subdivision and sampling method is also discussed.
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Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Lakhdar Chiter,