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A logarithm barrier method for semi-definite programming

Jean-Pierre Crouzeix; Bachir Merikhi — 2008

RAIRO - Operations Research

This paper presents a logarithmic barrier method for solving a semi-definite linear program. The descent direction is the classical Newton direction. We propose alternative ways to determine the step-size along the direction which are more efficient than classical line-searches.

A numerical feasible interior point method for linear semidefinite programs

Djamel Benterki; Jean-Pierre Crouzeix; Bachir Merikhi — 2007

RAIRO - Operations Research

This paper presents a feasible primal algorithm for linear semidefinite programming. The algorithm starts with a strictly feasible solution, but in case where no such a solution is known, an application of the algorithm to an associate problem allows to obtain one. Finally, we present some numerical experiments which show that the algorithm works properly.

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