Topics in global optimization

A summary of the reserch done in global optimization at the Numerical Analysis Departament of IIMAS-UNAM is given. The concept of the Tunnelling Function and the key ideas of the Tunnelling Algorithm as applied to Unconstrained Global Optimization, Stabilization of Newton's Method and Constrained Global Optimization are presented. Numerical results for several examples are given, they have from one to ten variables and from three to several thousands of local minima, clearly illustrating the robustness of the Tunnelling Algorithm.