Real monodromy action

DOI10.1016/j.amc.2019.124983zbMath1433.65094arXiv1903.06126OpenAlexW2999921896WikidataQ115996927 ScholiaQ115996927MaRDI QIDQ2293918

Jonathan D. Hauenstein, Margaret H. Regan

Publication date: 5 February 2020

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.06126

zbMATH Keywords

kinematicshomotopy continuationmonodromy groupnumerical algebraic geometryreal algebraic geometryparameter homotopyreal monodromy structure

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Numerical computation of solutions to systems of equations (65H10) Global methods, including homotopy approaches to the numerical solution of nonlinear equations (65H20) Structure of families (Picard-Lefschetz, monodromy, etc.) (14D05) Geometric aspects of numerical algebraic geometry (14Q65) Computational real algebraic geometry (14Q30)

Related Items (3)

Galois/Monodromy Groups for Decomposing Minimal Problems in 3D Reconstruction ⋮ Evaluating and Differentiating a Polynomial Using a Pseudo-witness Set ⋮ Machine learning the real discriminant locus

Uses Software

• Bertini
• MonodromySolver

Cites Work

• Unnamed Item
• Unnamed Item
• Numerical computation of Galois groups
• Chemical oscillations, waves, and turbulence
• Galois groups of enumerative problems
• Homotopy techniques for tensor decomposition and perfect identifiability
• Non-singular assembly-mode changing motions for 3-R{\b P}R parallel manipulators
• Galois groups of Schubert problems via homotopy computation
• Locating and Counting Equilibria of the Kuramoto Model with Rank-One Coupling
• Monodromy Solver
• The Numerical Solution of Systems of Polynomials Arising in Engineering and Science
• Solving polynomial systems via homotopy continuation and monodromy

This page was built for publication: Real monodromy action