BertiniLab: a MATLAB interface for solving systems of polynomial equations

DOI10.1007/s11075-015-0014-6zbMath1333.65054OpenAlexW814826614WikidataQ57434776 ScholiaQ57434776MaRDI QIDQ5962643

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

Publication date: 15 February 2016

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-015-0014-6

zbMATH Keywords

algorithmpolynomial systemMatlabnumerical algebraic geometrynumerical homotopy continuation package Bertini

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Global methods, including homotopy approaches to the numerical solution of nonlinear equations (65H20) Numerical computation of roots of polynomial equations (65H04)

Related Items (4)

A stabilized normal form algorithm for generic systems of polynomial equations ⋮ A robust approach for finding all well-separated solutions of sparse systems of nonlinear equations ⋮ Uniform Determinantal Representations ⋮ BertiniLab

Uses Software

• HOM4PS
• Matlab
• PHCpack
• Bertini
• Paramotopy
• PHClab

Cites Work

• Unnamed Item
• Unnamed Item
• Perturbed homotopies for finding all isolated solutions of polynomial systems
• Computing steady-state solutions for a free boundary problem modeling tumor growth by Stokes equation
• HOM4PS-2.0: a software package for solving polynomial systems by the polyhedral homotopy continuation method
• Paramotopy: parameter homotopies in parallel
• Regeneration homotopies for solving systems of polynomials
• Numerical Algebraic Geometry for Optimal Control Applications
• Numerical algebraic geometry and algebraic kinematics
• Algorithm 795
• The Numerical Solution of Systems of Polynomials Arising in Engineering and Science

This page was built for publication: BertiniLab: a MATLAB interface for solving systems of polynomial equations