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A package for finding real roots of systems of polynomial equations using polyhedral homotopy.

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klee669/RealPolyhedralHomotopy.jl

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RealPolyhedralHomotopy.jl

RealPolyhedralHomotopy.jl is a package for finding real roots of systems of polynomial equations using polyhedral homotopy. The package implements the algorithm for the real polyhedral homotopy establised in A Polyhedral Homotopy Algorithm For Real Zeros. The idea for the real polyhedral homotopy motivated from the celebrated article A Polyhedral Method for Solving Sparse Polynomial Systems to apply the polyhedral homotopy method for real roots finding.

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Installation

The package can be installed via the Julia package manager. It is suggested to use Julia 1.6.1 or higher.

pkg> add RealPolyhedralHomotopy

Getting Started

To find a preliminary example of how the functions in this package work see this tutorial, otherwise see the documentation for more details.

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A package for finding real roots of systems of polynomial equations using polyhedral homotopy.

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