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

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.