We consider the following computational problem: we are given two coprime univariate polynomials f 0 and f 1 over a ring and want to find whether after a small perturbation we can achieve a large gcd. We solve this problem in polynomial time for two notions of "large" (and "small"): large degree (when is an arbitrary field, in the generic case when f 0 and f 1 have a so-called normal degree sequence), and large height (when ). © 2008 Springer-Verlag Berlin Heidelberg.
CITATION STYLE
Von Zur Gathen, J., & Shparlinski, I. E. (2008). Approximate polynomial gcd: Small degree and small height perturbations. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 4957 LNCS, pp. 276–283). https://doi.org/10.1007/978-3-540-78773-0_24
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