Nonlinear Optimization: Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, July 1-7, 2007 - Couverture souple

Bomze, Immanuel M. M.; Demyanov, Vladimir F.; Fletcher, Roger; Terlaky, Tamás

 
9783642113383: Nonlinear Optimization: Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, July 1-7, 2007

Synopsis

This volume collects the expanded notes of four series of lectures given on the occasion of the CIME course on Nonlinear Optimization held in Cetraro, Italy, from July 1 to 7, 2007. The Nonlinear Optimization problem of main concern here is the problem n of determining a vector of decision variables x ? R that minimizes (ma- n mizes) an objective function f(·): R ? R,when x is restricted to belong n to some feasible setF? R , usually described by a set of equality and - n n m equality constraints: F = {x ? R : h(x)=0,h(·): R ? R ; g(x) ? 0, n p g(·): R ? R }; of course it is intended that at least one of the functions f,h,g is nonlinear. Although the problem canbe stated in verysimpleterms, its solution may result very di?cult due to the analytical properties of the functions involved and/or to the number n,m,p of variables and constraints. On the other hand, the problem has been recognized to be of main relevance in engineering, economics, and other applied sciences, so that a great lot of e?ort has been devoted to develop methods and algorithms able to solve the problem even in its more di?cult and large instances. The lectures have been given by eminent scholars, who contributed to a great extent to the development of Nonlinear Optimization theory, methods and algorithms. Namely, they are: – Professor Immanuel M.

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Présentation de l'éditeur

This volume presents recent advances in continuous optimization. It is authored by four well-known experts in the field and presents classical as well as advanced material on currently active research areas.

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Autres éditions populaires du même titre

9783642113529: Nonlinear Optimization

Edition présentée

ISBN 10 :  3642113524 ISBN 13 :  9783642113529
Editeur : Springer-Verlag Berlin and Heide..., 2010
Couverture souple