Bertini_real: Software for One- and Two-Dimensional Real Algebraic Sets

DOI10.1007/978-3-662-44199-2_29zbMath1437.14005OpenAlexW293694841MaRDI QIDQ2879118

Daniel A. Brake, Daniel J. Bates, Wenrui Hao, Charles W. Wampler, Jonathan D. Hauenstein, Andrew John Sommese

Publication date: 8 September 2014

Published in: Mathematical Software – ICMS 2014 (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-662-44199-2_29

zbMATH Keywords

homotopy continuationdeflationalgebraic curvealgebraic surfacenumerical algebraic geometrycell decomposition

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Real algebraic sets (14P05) Software, source code, etc. for problems pertaining to algebraic geometry (14-04) Geometric aspects of numerical algebraic geometry (14Q65)

Related Items

Arc length based maximal Lyapunov functions and domains of attraction estimation for polynomial nonlinear systems, Continuation along bifurcation branches for a tumor model with a necrotic core, Weak Hadamard star configurations and apolarity, Fast linear homotopy to find approximate zeros of polynomial systems, A 3D printed Arduino-powered interactive Barth Sextic, Mechanism mobility and a local dimension test, Efficient path tracking methods, Khovanskii-Rolle continuation for real solutions, Synthesis of a special RPSPR spatial linkage function generator for six precision points, Distance-based position analysis of the three seven-link Assur kinematic chains, Forward kinematic problem of 5-R\(\underline {\text P}\)UR parallel mechanisms (3T2R) with identical limb structures, Decomposing Solution Sets of Polynomial Systems Using Derivatives, Central configurations of the five-body problem with equal masses, Exact bivariate polynomial factorization over \(\mathbb Q\) by approximation of roots

Uses Software

• Bertini
• Bertini_real