Nondifferentiable Optimization: Motivations and Applications : Proceedings of an IIASA (International Institute for Applied Systems Analysis) Workshop ... at Sopron, Hungary, September 17-22, 1984 - Softcover

Softcover

ISBN 10: 3662126044 ISBN 13: 9783662126042

Publisher: Springer, 2014

Synopsis

I. Concepts in Nonsmooth Analysis.- Attempts to Approximate a Set-Valued Mapping.- Miscellanies on Nonsmooth Analysis and Optimization.- Bundle Methods, Cutting-Plane Algorithms and ?-Newton Directions.- The Solution of a Nested Nonsmooth Optimization Problem.- Variations on the Theme of Nonsmooth Analysis: Another Subdifferential.- Lipschitzian Stability in Optimization: The Role of Nonsmooth Analysis.- Upper-Semicontinuously Directionally Differentiable Functions.- A New Approach to Clarke's Gradients in Infinite Dimensions.- II. Multicriteria Optimization and Control Theory.- A Nondifferentiable Approach to Multicriteria Optimization.- Application of a Subdifferential of a Convex Composite Functional to Optimal Control in Variational Inequalities.- On Some Nondifferentiable Problems in Optimal Control.- On Sufficient Conditions for Optimality of Lipschitz Functions and Their Applications to Vector Optimization.- Optimal Control of Hyperbolic Variational Inequalities.- On Duality Theory Related to Approximate Solutions of Vector-Valued Optimization Problems.- III. Algorithms and Optimization Methods.- Seminormal Functions in Optimization Theory.- The General Concept of Cone Approximations in Nondifferentiable Optimization.- An Algorithm for Convex NDO Based on Properties of the Contour Lines of Convex Quadratic Functions.- A Note on the Complexity of an Algorithm for Tchebycheff Approximation.- Descent Methods for Nonsmooth Convex Constrained Minimization.- Stability Properties of Infima and Optimal Solutions of Parametric Optimization Problems.- On Methods for Solving Optimization Problems Without Using Derivatives.- An Accelerated Method for Minimizing a Convex Function of Two Variables.- On the Steepest-Descent Method for a Class of Quasi-Differentiable Optimization Problems.- A Modified Ellipsoid Method for the Minimization of Convex Functions With Superlinear Convergence (or Finite Termination) for Well-Conditioned C3 Smooth (or Piecewise Linear) Functions.- Numerical Methods for Multiextremal Nonlinear Programming Problems With Nonconvex Constraints.- A Modification of the Cutting-Plane Method With Accelerated Convergence.- A Finite Algorithm for Solving Linear Programs With an Additional Reverse Convex Constraint.- IV. Stochastic Programming and Applications.- Some Remarks on Quasi-Random Optimization.- Optimal Satellite Trajectories: a Source of Difficult Nonsmooth Optimization Problems.- A Reduced Subgradient Algorithm for Network Flow Problems With Convex Nondifferentiable Costs.- An Algorithm for Solving a Water-Pressure-Control Planning Problem With a Nondifferentiable Objective Function.- Quasi-Differentiable Functions in the Optimal Construction of Electrical Circuits.

Edition details

• Publisher: Springer
• Publication date: 2014
• Language: English
• ISBN 10: 3662126044
• ISBN 13: 9783662126042
• Binding: Paperback
• Number of pages: 364
• Editor: Demyanov Vladimir F., Pallaschke Diethard