Humberto Rocha – Optimization Online

Incorporating Minimum Frobenius Norm Models in Direct Search

Published: 2008/10/24

Optimization Software Benchmark, Unconstrained Optimization data profiles, derivative-free optimization, direct search, generalized pattern search, minimum frobenius norm models, search step

The goal of this paper is to show that the use of minimum Frobenius norm quadratic models can improve the performance of direct-search methods. The approach taken here is to maintain the structure of directional direct-search methods, organized around a search and a poll step, and to use the set of previously evaluated points generated … Read more

Pattern Search Methods for User-Provided Points:Application to Molecular Geometry Problems

Published: 2002/05/27, Updated: 2002/06/13

Basic Sciences Applications, Unconstrained Optimization expensive function evaluations, geometrical transformations, molecular geometry, parallel computing, pattern search methods, user-provided points

This paper deals with the application of pattern search methods to the numerical solution of a class of molecular geometry problems with important applications in molecular physics and chemistry. The goal is to find a configuration of a cluster or a molecule with minimum total energy. The minimization problems in this class of geometry molecular … Read more