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math.NA2026
Spiral Endgames for Computing Singular Endpoints of Homotopy Paths
Emma R. Cobian, Jonathan D. Hauenstein, Charles W. Wampler
We develop a new endgame for numerically computing singular solutions to complex analytic systems by means of a homotopy path whose endpoint is the solution to be computed. When th…
math.NA2024
Robust Numerical Algebraic Geometry
Emma R. Cobian, Jonathan D. Hauenstein, Charles W. Wampler
The field of numerical algebraic geometry consists of algorithms for numerically solving systems of polynomial equations. When the system is exact, such as having rational coeffici…