English

A Deterministic Program for Obtaining Optima under Constraints for Any Analytical System

Optimization and Control 2015-11-24 v4

Abstract

Conceptual framework is laid out of a deterministic program capable of obtaining optimum solutions with or without constraints for any reasonably behaved analytical system. Recipe implementable as a well-behaved Runge-Kutta procedure is given. Determinism means no inspired initial guesses or random number trials. The program follows well-defined steps between well-defined start and end points, to a large extent configuration independent. This program is also conjectured to lead to global optimum solutions based on evidence, short of a proof. Application to realistic problems is given as example.

Keywords

Cite

@article{arxiv.1508.01846,
  title  = {A Deterministic Program for Obtaining Optima under Constraints for Any Analytical System},
  author = {Yu-Chiu Chao},
  journal= {arXiv preprint arXiv:1508.01846},
  year   = {2015}
}

Comments

34 pages, 19 figures, 2 tables

R2 v1 2026-06-22T10:28:58.339Z