Smoothed Analysis for the Condition Number of Structured Real Polynomial Systems

Published 10 Sep 2018 in math.AG, cs.NA, cs.SC, math.MG, and math.NA | (1809.03626v3)

Abstract: We consider the sensitivity of real zeros of structured polynomial systems to perturbations of their coefficients. In particular, we provide explicit estimates for condition numbers of structured random real polynomial systems, and extend these estimates to the smoothed analysis setting.

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