Local Method for Compositional Inverses of Permutational Polynomials
Pingzhi Yuan
TL;DR
This paper introduces a local method for finding compositional inverses of permutation polynomials, providing new examples and their inverses, advancing the understanding of polynomial invertibility in algebraic structures.
Contribution
The paper presents a novel local approach to compute inverses of all permutation polynomials, including new classes and their inverses, enhancing existing algebraic methods.
Findings
A local method for inverse computation of permutation polynomials
New permutation polynomials and their inverses identified
Method applicable to all permutation polynomials
Abstract
In this paper, we provide a local method to find compositional inverses of all PPs, some new PPs and their compositional inverses are given.
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Taxonomy
TopicsMatrix Theory and Algorithms · Advanced Optimization Algorithms Research · Control Systems and Identification