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arXiv · 2301.03427

A comment on the combination of the implicit function theorem and the Morse lemma

Emoke Imre
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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.

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Emoke Imre. 2022-12-02. A comment on the combination of the implicit function theorem and the Morse lemma. https://arxiv.org/abs/2301.03427

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