Classifying extrema using intervals
Mathematical Software
2025-10-20 v1 Computational Complexity
Numerical Analysis
Numerical Analysis
Abstract
We present a straightforward and verified method of deciding whether the n-dimensional point x (n>=1), such that \nabla f(x)=0, is the local minimizer, maximizer or just a saddle point of a real-valued function f. The method scales linearly with dimensionality of the problem and never produces false results.
Cite
@article{arxiv.cs/0609082,
title = {Classifying extrema using intervals},
author = {Marek W. Gutowski},
journal= {arXiv preprint arXiv:cs/0609082},
year = {2025}
}
Comments
LaTeX, 7 pages, no figures