Algorithms for solving an algebraic equation

DOI10.1134/S0361768819100013zbMath1455.68281OpenAlexW2922502137MaRDI QIDQ2216885

Alexander D. Bruno

Publication date: 17 December 2020

Published in: Programming and Computer Software (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0361768819100013

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Compact Riemann surfaces and uniformization (30F10) Computational aspects of algebraic curves (14Q05)

Related Items (3)

Algorithms and programs for calculating the roots of polynomial of one or two variables ⋮ Heuristic algorithms for recognition of some cubic hypersurfaces ⋮ On the parametrization of an algebraic curve

Uses Software

• Qhull
• desing
• PGeomlib

Cites Work

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• On the parametrization of a certain algebraic curve of genus 2
• The sixth Painlevé transcendent and uniformization of algebraic curves
• Complex multiplication formulae for hyperelliptic curves of genus three
• Resolution of an algebraic singularity by power geometry algorithms
• Reduction of abelian functions and algebraically integrable systems. I
• Explicit solution by radicals, gonal maps and plane models of algebraic curves of genus 5 or 6
• First steps towards radical parametrization of algebraic surfaces
• Radical parametrizations of algebraic curves by adjoint curves
• Hyperelliptic uniformization of algebraic curves of the third order
• On uniformization of Burnside’s curve y2=x5−x
• The quickhull algorithm for convex hulls
• Exact algorithms and software in optimization and polyhedral computation
• Abelian Functions for Trigonal Curves of Genus Three

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