This book contains refereed papers which were presented at the 34th Workshop of the International School of Mathematics "G. Stampacchia," the International Workshop on Optimization and Control with Applications. The book contains 28 papers that are grouped according to four broad topics: duality and optimality conditions, optimization algorithms, optimal control, and variational inequality and equilibrium problems. The specific topics covered in the individual chapters include optimal control, unconstrained and constrained optimization, complementarity and variational inequalities, equilibrium problems, semi-definite programs, semi-infinite programs, matrix functions and equations, nonsmooth optimization, generalized convexity and generalized monotinicity, and their applications. TOC:From the contents: Preface.- Biographical Sketch of Elijah Polak.- Publications of Elijah Polak.- Part I. Duality and Optimality Conditions: On Minimization of Max-Min Functions. A Comparison of Two Approaches to Second-Order Subdifferentiability Concepts with Application to Optimality Conditions. Duality and Exact Penalization via a Generalized Augmented Lagrangian Function. Duality for Semi-Definite and Semi-Infinite Programming with Equality Constraints. The Use of Nonsmooth Analysis and of Duality Methods for the Study of Hamilton-Jacobi Equations. Some Classes of Abstract Convex Functions.- Part II. Optimization Algorithms: An Implementation of Training Dual-nu Support Vector Machines.- An Analysis of the Barzilai and Borwein Gradient Method for Unsymmetric Linear Equations. An Exchange Algorithm for Minimizing Sum-Min Functions. On the Barzlai-Borwein Method.
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