Implementing real polyhedral homotopy

DOI10.2140/jsag.2024.14.59zbMATH Open1544.65086MaRDI QIDQ6569465

Jose Israel Rodriguez, Julia Lindberg, Kisun Lee

Publication date: 9 July 2024

Published in: The Journal of Software for Algebra and Geometry (Search for Journal in Brave)

zbMATH Keywords

homotopy continuationdiscriminantpolyhedral homotopynumerical algebraic geometryreal algebraic geometryamoeba

Mathematics Subject Classification ID

Real algebraic and real-analytic geometry (14P99) Numerical algebraic geometry (65H14)

Cites Work

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• HOM4PS-2.0: a software package for solving polynomial systems by the polyhedral homotopy continuation method
• The number of roots of a system of equations
• Trace test
• Introduction to Interval Analysis
• Algorithm 795
• A Polyhedral Method for Solving Sparse Polynomial Systems
• The Numerical Solution of Systems of Polynomials Arising in Engineering and Science
• Certifying approximate solutions to polynomial systems on Macaulay2
• The Maximum Likelihood Degree of Sparse Polynomial Systems
• Sparse trace tests
• On the polyhedral homotopy method for solving generalized Nash equilibrium problems of polynomials
• Certifying zeros of polynomial systems using interval arithmetic

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