Design and implementation of symbolic algorithms for the computation of generalized asymptotes

DOI10.1007/s10472-023-09856-zzbMath1525.14071OpenAlexW4382927847MaRDI QIDQ6133709

M. Fernández de Sevilla, Sonia Pérez-Díaz, Rafael Magdalena Benedicto

Publication date: 21 August 2023

Published in: Annals of Mathematics and Artificial Intelligence (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10472-023-09856-z

zbMATH Keywords

algebraic curvesinfinity branchesconvergent branchesalgorithm performanceapproaching curvesgeneralized asymptoteshardware usage

Mathematics Subject Classification ID

Questions of classical algebraic geometry (51N35) Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Computational aspects of algebraic curves (14Q05) Algebraic geometry methods for problems in mechanics (70G55)

Cites Work

• Asymptotes and perfect curves
• Asymptotes of space curves
• Rational algebraic curves. A computer algebra approach
• Automatic construction of accurate models of physical systems
• A simple formula for the computation of branches and asymptotes of curves and some applications
• A new approach for computing the asymptotes of a parametric curve
• Asymptotic behavior of an implicit algebraic plane curve
• Computing the asymptotes for a real plane algebraic curve
• On the problem of proper reparametrization for rational curves and surfaces
• Computing branches and asymptotes of meromorphic functions

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