Displaying similar documents to “Linear programming with positive semi-definite matrices.”

A numerical feasible interior point method for linear semidefinite programs

Djamel Benterki, Jean-Pierre Crouzeix, Bachir Merikhi (2007)

RAIRO - Operations Research

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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.

Lower bounds strategies in combinatorial nonlinear programming. A case study: Energy generators maintenance and operation scheduling.

Laureano F. Escudero (1981)

Qüestiió

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The Generator Maintenance and Operation Scheduling problem is presented as large-scale mixed integer non-linear programming case. Several relaxations of the integrality condition on the variables are discussed. The optimal solution of the model based on these relaxations is viewed as the lower bound of the optimal solution in the original problem. A continuous constrained non-linear programming algorithm is used in the optimization of the relaxed formulation. Computational experience...