Semi-Infinite Programming and Applications: An International Symposium, Austin, Texas, September 8-10, 1981

In: Lecture Notes in Economics and Mathematical Systems 215

Abstract

I Duality Theory -- Ascent Ray Theorems and Some Applications -- Semi-Infinite Programming Duality: How Special Is It? -- A Saddle Value Characterization of Fan's Equilibrium Points -- Duality in Semi-Infinite Linear Programming -- On the Role of Duality in the Theory of Moments -- Existence Theorems in Semi-Infinite Programs -- II Algorithmic Developments -- An Algorithm for a Continuous Version of the Assignment Problem -- Numerical Estimation of Optima by Use of Duality Inequalities -- Globalization of Locally Convergent Algorithms for Nonlinear Optimization Problems with Constraints -- A Three-Phase Algorithm for Semi-Infinite Programs -- A Review of Numerical Methods for Semi-Infinite Optimization -- An Algorithm for Minimizing Polyhedral Convex Functions -- Numerical Experiments with Globally Convergent Methods for Semi-Infinite Programming Problems -- III Problem Analysis and Modeling -- On the Partial Construction of the Semi-Infinite Banzhaf Polyhedron -- Semi-Infinite and Fuzzy Set Programming -- Semi-Infinite Optimization in Engineering Design -- A Moment Inequality and Monotonicity of an Algorithm -- IV Optimality Conditions and Variational Principles -- Second Order Conditions in Nonlinear Nonsmooth Problems of Semi-Infinite Programming -- On Stochastic Control Problems with Impulse Cost Vanishing -- Dual Variational Principles in Mechanics and Physics -- Authors, Participants, and Affiliations -- Referees -- Table of Contents of the Book of Abstracts.