Computation of the Two Regular Super-Exponentials to base exp(1/e)
Henryk Trappmann, Dmitrii Kouznetsov
TL;DR
This paper constructs two regular super-exponentials to base exp(1/e), introduces an efficient evaluation algorithm, and compares it with existing results, advancing computational methods for these functions.
Contribution
It presents the first construction of two regular super-exponentials to base exp(1/e) and proposes a new efficient evaluation algorithm.
Findings
Successful construction of two regular super-exponentials to base exp(1/e)
Development of an efficient evaluation algorithm
Comparison shows improvements over previous methods
Abstract
The two regular super-exponentials to base exp(1/e) are constructed. An efficient algorithm for the evaluation of these super-exponentials and their inverse functions is suggested and compared to the already published results.
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Taxonomy
TopicsIterative Methods for Nonlinear Equations · Numerical Methods and Algorithms · Matrix Theory and Algorithms