Now showing items 11-14 of 14
Parallel Space Decomposition of the Mesh Adaptive Direct Search Algorithm
This paper describes a Parallel Space Decomposition (PSD) technique for the Mesh Adaptive Direct Search (MADS) algorithm. MADS extends Generalized Pattern Search for constrained nonsmooth optimization problems. The objective ...
Analysis of Generalized Pattern Searches
This paper contains a new convergence analysis for the Lewis and Torczon generalized pattern search (GPS) class of methods for unconstrained and linearly constrained optimization. This analysis is motivated by a desire to ...
Convergence of Mesh Adaptive Direct Search to Second-Order Stationary Points
A previous analysis of second-order behavior of pattern search algorithms for unconstrained and linearly constrained minimization is extended to the more general class of mesh adaptive direct search (MADS) algorithms for ...
ORTHOMADS: A Deterministic MADS Instance with Orthogonal Directions
The purpose of this paper is to introduce a new way of choosing directions for the Mesh Adaptive Direct Search (MADS) class of algorithms. The advantages of this new OrthoMADS instantiation of MADS are that the polling ...