A hyperbolic variant of the Nelder-Mead simplex method in low dimensions

DOI10.2478/ausm-2014-0012zbMath1296.65090OpenAlexW2042548452MaRDI QIDQ399493

Levente Lócsi

Publication date: 19 August 2014

Published in: Acta Universitatis Sapientiae. Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/ausm-2014-0012

zbMATH Keywords

algorithmconvergencehyperbolic geometryNelder-Mead simplex methodBlaschke functionsBolyai-Lobachevsky geometryPoincaré disk model

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Hyperbolic and elliptic geometries (general) and generalizations (51M10) Nonlinear programming (90C30) Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45)

Uses Software

• Matlab

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A convergent variant of the Nelder--Mead algorithm
• On the roots of certain polynomials arising from the analysis of the Nelder-Mead simplex method
• Nelder, Mead, and the other simplex method
• Convergence of the Restricted Nelder--Mead Algorithm in Two Dimensions
• Effect of dimensionality on the Nelder–Mead simplex method
• Convergence Properties of the Nelder--Mead Simplex Method in Low Dimensions
• Convergence of the Nelder--Mead Simplex Method to a Nonstationary Point
• A Simplex Method for Function Minimization

This page was built for publication: A hyperbolic variant of the Nelder-Mead simplex method in low dimensions