A Stochastic Convergence Result for the Nelder–Mead Simplex Method

We prove that the Nelder–Mead simplex method converges in the sense that the simplex vertices converge to a common limit point with a probability of one. The result may explain the practical usefulness of the Nelder–Mead method.

Bibliographic Details
Main Author: Aurél Galántai
Format: Article
Language:English
Published: MDPI AG 2023-04-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/11/9/1998