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The 2-yearly French-German Conferences on Optimization review the state-of-the-art and the trends in the field. The proceedings of the Fifth Conference include papers on projective methods in linear programming (special session at the conference), nonsmooth optimization, two-level optimization, multiobjective optimization, partial inverse method, variational convergence, Newton type algorithms and flows and on practical applications of optimization. A. Ioffe and J. Ph. Vial have contributed survey papers on, respectively second order optimality conditions and projective methods in linear programming.
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A smoothing technique for nondifferentiable optimization problems.- Local study of newton type algorithms for constrained problems.- Numerical study of projective methods for linear programming.- Applications and numerical convergence of the partial inverse method.- On some recent developments in the theory of second order optimality conditions.- On the method of analytic centers for solving smooth convex programs.- An optimization problem with a piecewise linear objective and conditional threshold constraints. Solution by partitioning.- ?-Regularized two-level optimization problems: Approximation and existence results.- Variational convergence and perturbed proximal method for saddle point problems.- Note on pareto optimality and duality for certain nonlinear systems.- An 0(n3L) approximate center method for linear programming.- Improvement and implementation of some algorithms for nonconvex optimization problems.- On a search problem in graph theory.- Gradient newton flows for complex polynomials.- A unified approach to projective algorithms for linear programming.- Programme of the conference.

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