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A path-following version of the Todd-Burrell procedure for linear programming

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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. Copyright Physica-Verlag 1997

Suggested Citation

  • Jean-Philippe Vial, 1997. "A path-following version of the Todd-Burrell procedure for linear programming," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 46(2), pages 153-167, June.
    • Handle: RePEc:spr:mathme:v:46:y:1997:i:2:p:153-167
    DOI: 10.1007/BF01217688
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    References listed on IDEAS

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    1. de GHELLINCK, Guy & VIAL, Jean-Philippe, 1986. "A polynomial Newton method for linear programming," LIDAM Reprints CORE 724, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    2. Vial, J-P, 1996. "A Generic Path-Following Algorithm with a Sliding Constraint and its Application to Linear Programming and the Computation of Analytic Centers," Papers 96.08, Ecole des Hautes Etudes Commerciales, Universite de Geneve-.
    3. de GHELLI NCK, G. & VIAL, J.-Ph., 1986. "A polynomial Newton method for linear programming," LIDAM Discussion Papers CORE 1986014, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
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