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Algorithm 921

Published in ACM Transactions on Mathematical Software • Aug 1, 2012
Authors:
Jonathan D. Hauenstein
,
Frank Sottile

Abstract

Smale’s α -theory uses estimates related to the convergence of Newton’s method to certify that Newton iterations will converge quadratically to solutions to a square polynomial system. The program alphaCertified implements algorithms based on α -theory to certify solutions of polynomial systems usin...

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