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A logarithmic barrier method for linear programming based on a new minorant function
  • Linda Menniche,
  • Djamel BENTERKI,
  • Imene Benchetta
Linda Menniche
University Mohammed Seddik Ben Yahia

Corresponding Author:[email protected]

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University of Ferhat Abbas Setif 1
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Imene Benchetta
Setif-1 Ferhat Abbas University
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This paper presents a logarithmic barrier method without line search for solving linear programming problem. The descent direction is the classical Newton's one. However, the displacement step is determined by a simple and efficient technique based on the notion of the minorant function approximating the barrier function. Numerical tests show the efficiency of this approach versus classical line search methods.