The NumericalCertification package in Macaulay2

@article{Lee2022TheNP,
  title={The NumericalCertification package in Macaulay2},
  author={Kisun Lee},
  journal={ArXiv},
  year={2022},
  volume={abs/2208.01784}
}
  • Kisun Lee
  • Published 2 August 2022
  • Computer Science, Mathematics
  • ArXiv
The package NumericalCertification 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 Macaulay2 . 
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2 Citations

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