The NumericalCertification package in Macaulay2

08/02/2022

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by   Kisun Lee, et al.

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University of California, San Diego

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The package implements methods for certifying numerical approximations of solutions for a given system of polynomial equations. For certifying regular solutions, the package implements Smale's α-theory and Krawczyk method. For a singular solution, we implement soft verification using the iterative deflation method. We demonstrate the functionalities of the package focusing on interaction with current numerical solvers in .