English

On strong homogeneity of two global optimization algorithms based on statistical models of multimodal objective functions

Numerical Analysis 2016-11-25 v1 Optimization and Control

Abstract

The implementation of global optimization algorithms, using the arithmetic of infinity, is considered. A relatively simple version of implementation is proposed for the algorithms that possess the introduced property of strong homogeneity. It is shown that the P-algorithm and the one-step Bayesian algorithm are strongly homogeneous.

Cite

@article{arxiv.1108.1042,
  title  = {On strong homogeneity of two global optimization algorithms based on statistical models of multimodal objective functions},
  author = {Antanas Zilinskas},
  journal= {arXiv preprint arXiv:1108.1042},
  year   = {2016}
}

Comments

11 pages, 1 figure

R2 v1 2026-06-21T18:46:26.509Z