Pierre Hansen

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Piyavskii's algorithm maximizes a univariate function <i>f</i> satisfying a Lipschitz condition. We compare the numbers of iterations needed to obtain a bou...

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Consider <i>N</i> entities to be classified, and a matrix of dissimilarities between pairs of them. The split of a cluster is the smallest dissimilarity be...

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The Basic Algorithm of pseudo-Boolean programming due to Hammer and Rudeanu allows to minimize nonlinear 0-1 functions by recursively eliminating one variabl...

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An experimental computer system for globally optimal design, called BAGOP, is discussed. This new tool uses the computer alebra system MACSYMA to implement ...

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Many problems of globally optimal design have been solved in the literature using monotonicity analysis and a variety of tests applied in an ad hoc way. The...

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Many problems of globally optimal design have been solved by using monotonicity analysis. New monotonicity principles are obtained by exploiting non strict ...

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Ordered sequential algorithms for the global minimization of univariate functions over an interval proceed by evaluating this function at successive points c...

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Consider N entities to be classified, and a matrix of diffimilarities between pairs of them. The split of a cluster is the smallest dissimilarity between an...

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Old and new algorithms for the Maximum Satisfiability problem are studied. We first summarize the different heuristics previously proposed, i.e. the approxi...

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