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- W189796826 abstract "A new method for the computation of the global minimum of a continuously differentiable real—valued function f of n variables is presented. This method, which is composed of two parts, is based on the combinatorial topology concept of the degree of a mapping associated with an oriented polyhedron. In the first part, interval arithmetic is implemented for a “rough” isolation of all the stationary points of f. In the second part, the isolated stationary points are characterized as minima, maxima or saddle points and the global minimum is determined among the minima. The described algorithm can be successfully applied to problems with imprecise function and gradient values. The algorithm has been implemented and tested. It is primarily useful for small dimensions (n ≤ 10)." @default.
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- W189796826 date "1997-01-01" @default.
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- W189796826 title "Global Optimization for Imprecise Problems" @default.
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- W189796826 doi "https://doi.org/10.1007/978-1-4757-2600-8_3" @default.
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