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approximation matricielle

RAIRO - Operations Research (1)

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Un problème d'approximation matricielle : quelle est la matrice bistochastique la plus proche d'une matrice donnée ?
Pawoumodom L. Takouda
Journal:

RAIRO - Operations Research / Volume 39 / Issue 1 / January 2005

Published online by Cambridge University Press:

15 July 2005, pp. 35-54

Print publication:

January 2005
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 Nous nous intéressons dans ce travail au problème d'approximation d'une matrice donnée par une matrice bistochastique. Des instances de ce problème peuvent apparaître dans différents domaines : en recherche opérationnelle dans un problème d'agrégation de préférence, en calcul de variations et optimisation de forme entre autres. Nous en proposons dans cet article une étude directe via le théorème de projection et une résolution numérique inspirée par la méthode de projections alternées de Boyle-Dykstra.