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Abstract: Global optimization methods in connection with interval arithmetic allow to determine the global optimum and the corresponding optimizers. One of the main features of these algorithms is to make an interval function which encloses the direct image of the studied function on a box (right parallelepiped). (Update)
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BibTeX entry: (Update)
@misc{ messine-new,
author = "Frédéric Messine",
title = "New Forms of Affine Arithmetic in Interval Global Optimization Algorithms",
url = "citeseer.nj.nec.com/messine99new.html" }
Citations (may not include all citations):5 HERZBERGER Introduction to Interval Computations (context) - ALEFELD - 1983
2 LAGOUANELLE Enclosure Methods for Multivariate Dioeerentiabl.. (context) - MESSINE - 1998
2 ROKNE New Computer Methods for Global Optimization (context) - RATSCHEK - 1988
2 KEARFOTT The Cluster Problem in Multivariate Global Optimiza.. (context) - DU - 1996
2 STOLFY Fast Interval Branch and Bound Methods for Unconstrai.. (context) - DE FIGUEIREDO, VAN IWAARDEN - 1997
2 FUJII An Interval Arithmetic Method for Global Optimization (context) - ICHIDA - 1979
1 STOLFI AOEne Arithmetic (context) - ANDRADE, COMBA - 1994
1 STOLFI AOEne Arithmetic and its Applications to Computer Gra.. (context) - COMBA - 1993
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