Notes on symmetries and reductions of algebraic equations

Fuente: arXiv
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Main Authors: Shingareva, Inna K., Polyanin, Andrei D.
Format: Preprint
Published: 2024
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author Shingareva, Inna K.
Polyanin, Andrei D.
author_facet Shingareva, Inna K.
Polyanin, Andrei D.
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2407_17995
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Notes on symmetries and reductions of algebraic equations
Shingareva, Inna K.
Polyanin, Andrei D.
Numerical Analysis
15A21 (Primary), 65H99 (Secondary)
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.
title Notes on symmetries and reductions of algebraic equations
topic Numerical Analysis
15A21 (Primary), 65H99 (Secondary)
url https://arxiv.org/abs/2407.17995