Nonlinear Optimization - Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, July 1-7, 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 , usually described by a set of equality and - n n m equality constraints: F = {x ? R : h(x)=0,h(·): R ? 0, n p g(·): R ?