Algorithms and programs for calculating the roots of polynomial of one or two variables

DOI10.1134/S0361768821050042zbMath1483.68500OpenAlexW3200394521MaRDI QIDQ2664516

A. B. Batkhin, Alexander D. Bruno

Publication date: 17 November 2021

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

Full work available at URL: https://doi.org/10.1134/s0361768821050042

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Polynomials, factorization in commutative rings (13P05) Computational methods for problems pertaining to field theory (12-08)

Related Items

Level lines of a polynomial on a plane, Symbolic computation of a homological equation of an arbitrary order and reduction of Hamiltonian system to its normal form, Real normal form of a binary polynomial at a second-order critical point, Computing level lines of a polynomial on the plane

Uses Software

• cdd
• Mathematica
• SageMath
• SymPy
• Qhull
• cddplus
• PPL
• desing
• PGeomlib

Cites Work

• Stability sets of multiparameter Hamiltonian systems
• Rational parametrizations of algebraic curves using a canonical divisor
• Subresultants revisited.
• Resolution of an algebraic singularity by power geometry algorithms
• Algorithms for solving an algebraic equation
• Expansion of solutions to an ordinary differential equation into transseries
• Parameterization of the discriminant set of a polynomial
• Geometric Methods and Applications
• Asymptotic expansions of solutions of the sixth Painlevé equation
• Understanding Maple
• The quickhull algorithm for convex hulls
• Asymptotic behaviour and expansions of solutions of an ordinary differential equation
• Basic Algebraic Geometry 2
• Ideals, Varieties, and Algorithms
• Tata lectures on theta. II: Jacobian theta functions and differential equations. With the collaboration of C. Musili, M. Nori, E. Previato, M. Stillman, and H. Umemura
• An axisymmetric boundary layer on a needle
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