Recent Developments in Optimization: Seventh French-German Conference on Optimization

ISBN-13: 9783540600411 / Angielski / Miękka / 1995 / 356 str.

Roland Durier;Christian Michelot

Opis

The main objective of this volume is to provide a presentation and discussion of recent developments in optimization and related fields. Equal emphasis is given to theoretical and practical fields. Topics covered include optimization and variational inequalities and control theory.

Spis treści

Semi-local convergence of the Lagrange-Newton method with application to optimal control.- Intrinsic bounds for Kuhn-Tucker points of perturbed convex programs.- Shape sensitivity analysis of nonsmooth shape functionals.- Infinite-horizon problems under holonomic constraints..- A survey of examples of convex functions and classifications of normed spaces.- Stochastic optimal control and decomposition-coordination methods Part I: Theory.- Stochastic optimal control and decomposition-coordination methods. Part II: Application.- Approximation, inversion and implicit function theorems.- A survey on separability and generalized convexity or generalized monotonicity.- On regularity of optimal control.- Degeneracy, normality, stability in mathematical programming.- A smooth variational principle for vector optimization problems.- Automatic directional differentiation of nonsmooth composite functions.- A Hilbert space approach to some flow problems.- On the critical sets of one-parameter quadratic optimization problems.- On new proximal methods for elliptic variational inequalities (case of symmetric operators).- On quantitative stability for C1,1 programs.- Linear approximation under infinitely many linear constraints.- Approximation of multifunctions and superlinear convergence.- On the convergence of some iterative methods for convex minimization.- Generalized convexity in the light of nonsmooth analysis.- Fuel mixture nonconvex problem: Solution methods and numerical simulations.- Filtering and control under pointwise in time bounds by the use of central solutions.- On an optimal control problem for chemical reactors.- A generalized sequential formula for subdifferentials of sums of convex functions defined on Banach spaces.- Subdifferentiability, lower semicontinuity and exactness of the level sum of two convex functions on locally convex spaces.