Nonlinear Optimization and Applications

by Gianni Pillo (Editor), F. Giannessi (Editor)

Overview

This volume contains the edited texts of the lectures presented at the workshop on Nonlinear Optimization: Theory and Applications, held in Erice at the "G. Stampacchia" School of Mathematics of the "E. Majorana" International Centre for Scientific Culture June 13-21, 1995. The meeting was conceived to review and discuss recent advances and promising research trends concerning theory, algorithms, and innovative applications in the field This is a field of mathematics which is providing viable of Nonlinear Optimization. tools in engineering, in economics and in other applied sciences, and which is giving a great contribution also in the solution of the more practiced linear optimization problems. The meeting was attended by approximately 70 people from 18 countries. Besides the lectures, several formal and informal discussions took place. The result was a broad exposure providing a wide and deep understanding of the present research achievements in the field. We wish to express our appreciation for the active contributions of all the partici­ pants in the meeting. Our gratitude is due to the Ettore Majorana Center in Erice, which offered its facilities and stimulating environment: its staff was certainly instrumental for the success of the meeting. Our gratitude is also due to Francisco Facchinei and Massino Roma for the time spent in the organization of the workshop, and to Giuliana Cai for the careful typesetting of this volume.

Product Details

ISBN-13:	9780306453168
Publisher:	Springer US
Publication date:	06/30/1996
Series:	Interdisciplinary Contributions to
Edition description:	1996
Pages:	367
Product dimensions:	7.01(w) x 10.00(h) x 0.04(d)

Table of Contents

1. Towards a discrete Newton method with memory for large-scale optimization.- 2. On regularity for generalized systems and applications.- 3. An algorithm using quadratic interpolation for unconstrained derivative free optimization.- 4. Massively parallel solution of large scale network flow problems.- 5. Correction theorems for nonsmooth systems.- 6. Successive projection methods for the solution of overdetermined nonlinear systems.- 7. On exact augmented Lagrangian functions in nonlinear programming.- 8. Space-transformation technique: the state of the art.- 9. Inexact Newton methods for semismooth equations with applications to variational inequality problems.- 10. Accessing realistic mixed complementarity problems within MATLAB.- 11. Merit functions for variational inequality and complementarity problems.- 12. Some remarks on penalization for variational inequalities and generalizations.- 13. Globally convergent online minimization algorithms for neural network training.- 14. Semismoothness and superlinear convergence in nonsmooth optimization and nonsmooth equations.- 15. On the solution of the monotone and nonmonotone linear complementarity problem by an infeasible interior point algorithm.- 16. Ergodic results in subgradient optimization.- 17. Proto-derivatives and the geometry of solution mappings in nonlinear programming.- 18. Numerical results for unconstrained optimization without derivatives.- 19. Hierarchical systems with weighted reaction set.- 20. Mathematical programming in machine learning.- 21. Smoothing techniques for macromolecular global optimization.- 22. Continuous approaches to discrete optimization problems.- 23. Homotopies based on nonsmooth equations for solving nonlinear variational inequalities.- 24. ABS methods for KT equations.- Contributors.