Nonlinear Optimization and Applications

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 prob lems. 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.

Towards a Discrete Newton Method with Memory for Largescale Optimization; R.H. Byrd, et al. On Regularity for Generalized Systems and Applications; M. Castellani, et al. An Algorithm Using Quadratic Interpolation for Unconstrained Derivative Free Optimization; A.R. Conn, P.L. Toint. Massively Parallel Solution of Large Scale Network Flow Problems; R. De Leone, et al. Correlation Theorems for Nonsmooth Systems; V.F. Dem'yanov. Successive Projection Methods for the Solution of Overdetermined Nonlinear Systems; M.A. Diniz-Erhardt, J.M. Martínez. On Exact Augmented Lagrangian Functions in Nonlinear Programming; G. Di Pillo, S. Lucidi. Spacetransformation Technique: The State of the Art; Y.G. Evtushenko, G.Z. Vitali. Semismoothness and Superlinear Convergence in Nonsmooth Optimization and Nonsmooth Equations; H. Jiang, et al. On the Solution of the Monotone and Nonmonotone Linear Complementarity Problem by an Infeasible Interior Point Algorithm; J. Júdice, et al. Ergodic Results in Subgradient Optimization; T. Larsson, et al. Protoderivatives and the Geometry of Solution Mappings in Nonlinear Programming; A.B. Levy, R.T. Rockafellar. Index.