Decoupling highly structured polynomial systems

DOI10.1016/j.jsc.2016.07.016zbMath1360.13064OpenAlexW2493954416WikidataQ57427299 ScholiaQ57427299MaRDI QIDQ507159

Andrew J. Newell, Daniel J. Bates, Matthew E. Niemerg

Publication date: 3 February 2017

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jsc.2016.07.016

zbMATH Keywords

homotopy continuationpolynomial systemdecouplingnumerical algebraic geometry

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Numerical computation of solutions to systems of equations (65H10) Software, source code, etc. for problems pertaining to commutative algebra (13-04) Software, source code, etc. for problems pertaining to optics and electromagnetic theory (78-04) Computational aspects in algebraic geometry (14Qxx) Solving polynomial systems; resultants (13P15)

Related Items (1)

Foreword. What is numerical algebraic geometry?

Uses Software

• HOM4PS
• PHCpack
• Bertini
• Paramotopy

Cites Work

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• Perturbed homotopies for finding all isolated solutions of polynomial systems
• Cell cycle control and bifurcation for a free boundary problem modeling tissue growth
• HOM4PS-2.0: a software package for solving polynomial systems by the polyhedral homotopy continuation method
• Coefficient-parameter polynomial continuation
• Paramotopy: parameter homotopies in parallel
• The Cheater’s Homotopy: An Efficient Procedure for Solving Systems of Polynomial Equations
• Regeneration homotopies for solving systems of polynomials
• Introduction to Numerical Continuation Methods
• Algorithm 795
• The Numerical Solution of Systems of Polynomials Arising in Engineering and Science

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