College of Science

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  Dataset

  Certifying reality of projection
  

  Creator(s):

  Samantha Sherman, Jonathan Hauenstein

  Description:

  Computational tools in numerical algebraic geometry can be used to numerically approximate solutions to a system of polynomial equations. If the system is well-constrained (i.e., square), Newton’s method is locally quadratically convergent near each nonsingular solution. In such cases, Smale’s alpha theory can be used to certify that a given point is in the quadratic convergence basin of some solution. This was extended to certifiably determine the reality of the corresponding sol…

  Date Created:

  2018-03-08

  Record Visibility:

  Public