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

DOI10.1137/S1052623400377955zbMath1079.90126OpenAlexW2091849172WikidataQ57861824 ScholiaQ57861824MaRDI QIDQ4651990

Pedro Alberto, Humberto Rocha, Fernando Nogueira, Luis Nunes Vicente

Publication date: 23 February 2005

Published in: SIAM Journal on Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s1052623400377955

zbMATH Keywords

parallel computingpattern search methodsmolecular geometrygeometrical transformationsexpensive function evaluationsuser-provided points

Mathematics Subject Classification ID

Applications of mathematical programming (90C90) Nonlinear programming (90C30) Numerical methods based on nonlinear programming (49M37) Molecular structure (graph-theoretic methods, methods of differential topology, etc.) (92E10)

Related Items (17)

On the properties of positive spanning sets and positive bases ⋮ Survey of derivative-free optimization ⋮ Selection of intensity modulated radiation therapy treatment beam directions using radial basis functions within a pattern search methods framework ⋮ An automated bi‐level optimization approach for IMRT ⋮ Efficient calculation of regular simplex gradients ⋮ A Zeroth-Order Proximal Stochastic Gradient Method for Weakly Convex Stochastic Optimization ⋮ Equal angle distribution of polling directions in direct-search methods ⋮ Uniform simplex of an arbitrary orientation ⋮ A particle swarm pattern search method for bound constrained global optimization ⋮ Nonsmooth optimization through mesh adaptive direct search and variable neighborhood search ⋮ Pattern search methods framework for beam angle optimization in radiotherapy design ⋮ A derivative-free nonmonotone line-search technique for unconstrained optimization ⋮ Inexact restoration method for nonlinear optimization without derivatives ⋮ Geometry of interpolation sets in derivative free optimization ⋮ On the properties of the cosine measure and the uniform angle subspace ⋮ Effects of symmetry breaking in finite quantum systems ⋮ Positive bases with maximal cosine measure

Uses Software

• DFO

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