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.
Authors, Editors and Affiliations
Dipto. Informatica e Sistemistica, Sapienza, Università di Roma, Roma, Italy
Gianni Di Pillo
Dipto. Sistemi e Informatica, Università degli Studi di Firenze, Firenze, Italy
Fabio Schoen
Statistics and Operations Research, University of Vienna, Vienna, Austria
Immanuel M. Bomze
Dept. of Applied Mathematics, St. Petersburg State University, St. Petersburg, Russian Federation
Vladimir F. Demyanov
Department of Mathematics, University of Dundee, Dundee, United Kingdom
Roger Fletcher
, Dept. Industrial & Systems Engineering, Lehigh University, Bethlehem, USA
Tamás Terlaky
Bibliographic Information
Book Title: Nonlinear Optimization
Book Subtitle: Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, July 1-7, 2007
Authors: Immanuel M. Bomze, Vladimir F. Demyanov, Roger Fletcher, Tamás Terlaky
