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A path-following version of the Todd-Burrell procedure for linear programming
Authors:Jean-Philippe Vial
Institution:(1) LOGILAB/Management Studies, University of Geneva, 102, Bd Carl-Vogt, CH-1211 Genève 4, Switzerland
Abstract:We propose a path-following version of the Todd-Burrell procedure to solve linear programming problems with an unknown optimal value. The path-following scheme is not restricted to Karmarkar's primal step; it can also be implemented with a dual Newton step or with a primal-dual step.This work has been completed with the support from the Fonds National Suisse de la Recherche Scientifique, grant 12-34002.92.
Keywords:Projective algorithm  path-following  interior point method
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