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.
Author(s): A. Ben-Tal, M. Teboulle (auth.), Szymon Dolecki (eds.)
Series: Lecture Notes in Mathematics 1405
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 1989
Language: English
Pages: 228
City: Berlin; New York
Tags: Systems Theory, Control; Calculus of Variations and Optimal Control; Optimization; Numerical Analysis; Economic Theory
A smoothing technique for nondifferentiable optimization problems....Pages 1-11
Local study of newton type algorithms for constrained problems....Pages 13-24
Numerical study of projective methods for linear programming....Pages 25-38
Applications and numerical convergence of the partial inverse method....Pages 39-54
On some recent developments in the theory of second order optimality conditions....Pages 55-68
On the method of analytic centers for solving smooth convex programs....Pages 69-85
An optimization problem with a piecewise linear objective and conditional threshold constraints. Solution by partitioning....Pages 87-98
ε-Regularized two-level optimization problems: Approximation and existence results....Pages 99-113
Variational convergence and perturbed proximal method for saddle point problems....Pages 115-140
Note on pareto optimality and duality for certain nonlinear systems....Pages 141-145
An 0(n 3 L) approximate center method for linear programming....Pages 147-158
Improvement and implementation of some algorithms for nonconvex optimization problems....Pages 159-170
On a search problem in graph theory....Pages 171-176
Gradient newton flows for complex polynomials....Pages 177-190
A unified approach to projective algorithms for linear programming....Pages 191-220
Programme of the conference....Pages 221-223