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On the problem of global optimisation of a multivariable function

2003/01/22 by Michael M. Medynski, Medynski, Michael M.
Mathematics · #FOS: Mathematics #Optimization and Control (math.OC) #math.OC

paper · pdf · doi:10.48550/arxiv.math/0301256

arxiv created 2003/01/22 · arxiv updated 2009/11/30

Abstract

One of the actual problems in the field of numerical optimisation, as is well known, is the problem of the search for the global extremum of a multivariate function [1-9,13,14,17-21]. Various versions of the random search methods [6,8,9] are considered to be the most reliable to solve the problem of global optimisation. In this work we present the little-known methods of Halton and LP-search, which has been proved as one of the best practical solutions of the global optimisation problem.

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