Applications and numerical convergence of the partial inverse method

摘要: In 1983, J.E. Spingarn introduced what he called the Partial Inverse Method in framework of Mathematical Programming. Since his initial articles, numerous applications have been given various fields including Lagrangian multipliers methods, location theory, convex feasibility problems, analysis data, economic equilibrium problems. a first part this paper we give survey these applications. Then by means optimization problems relevant to theory such as single and multifacility minimisum or minimax examine main advantages algorithm point out its drawbacks mainly concerning rate convergence. We study how different parameters can be get significant reduction number iterations numerical results.