Notes on symmetries and reductions of algebraic equations

Symmetries and reductions of some algebraic equations are considered. Transformations that preserve the form of several algebraic equations, as well as transformations that reduce the degree of these equations, are described. Illustrative examples are provided. The obtained results and solutions can...

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Bibliographic Details
Published in:arXiv.org 2024-07
Main Authors: Shingareva, Inna K, Polyanin, Andrei D
Format: Article
Language:English
Subjects:
Numerical methods
Transformations (mathematics)
Online Access:Get full text
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Summary:Symmetries and reductions of some algebraic equations are considered. Transformations that preserve the form of several algebraic equations, as well as transformations that reduce the degree of these equations, are described. Illustrative examples are provided. The obtained results and solutions can be used as test problems for numerical methods of solving algebraic equations.
ISSN:2331-8422