A comment on the combination of the implicit function theorem and the Morse lemma
General Mathematics
2023-01-10 v1
Abstract
The analytic implicit function theorem is extended. The function f of the theorem is integrated with respect to the dependent variable of the implicit function. A geometrical interpretation is given for the sub-geometry of the integral function F by using the Morse lemma. The result is used in the analysis of the hierarchical technique related to the minimization inon-linear parameter identification.
Cite
@article{arxiv.2301.03427,
title = {A comment on the combination of the implicit function theorem and the Morse lemma},
author = {Emoke Imre},
journal= {arXiv preprint arXiv:2301.03427},
year = {2023}
}
Comments
6 pages 1 figure