Golden section search over hyper-rectangle: a direct search method (Q2204208)

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Golden section search over hyper-rectangle: a direct search method
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    Golden section search over hyper-rectangle: a direct search method (English)
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    15 October 2020
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    Summary: This paper generalises the golden section optimal search method to higher dimensional optimisation problem. The method is applicable to a strict quasi-convex function of \(N\)-variables over an \(N\)-dimensional hyper rectangle. An algorithm is proposed in \(N\)-dimension. The algorithm is illustrated graphically in two dimensions and verified through several test functions in higher dimension using MATLAB.
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    golden section search
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    hyper-rectangle
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    strictly quasi-convex function
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    gradient free search
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    direct search
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    higher dimensional optimisation
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