One-dimensional simplex search (Q580188)
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scientific article; zbMATH DE number 4016616
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | One-dimensional simplex search |
scientific article; zbMATH DE number 4016616 |
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One-dimensional simplex search (English)
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1987
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The nonlinear simplex method for unconstrained optimization by \textit{J. A. Nelder} and \textit{R. Mead} [Computer J. 7, 308-313 (1965; Zbl 0229.65053)] is modified for the one-dimensional case to yield a two-phase method whose convergence to the optimal solution is proved for unimodal functions. It is shown that by assigning proper values to the initial parameters, the method can be made to behave as the golden section search or the binary search.
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nonlinear simplex method
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unconstrained optimization
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two-phase method
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unimodal functions
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golden section search
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binary search
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