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A remark on the Hensel factorization method. (English) Zbl 0383.12003
Summary: In response to a remark of David Yun a new version of the article in [J. Number Theory 1, 291–311 (1969; Zbl 0188.33703)] is given which sets in evidence the quadratic convergence behavior of the method using a minimum of bookkeeping.

MSC:
11R09 Polynomials (irreducibility, etc.)
11-04 Software, source code, etc. for problems pertaining to number theory
13B25 Polynomials over commutative rings
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[1] A. MIOLA & D. Y. Y. YUN, The Computational Aspects of Hensel-Type Univariate Polynomial Greatest Common Divisor Algorithms, Proc. Eurosam 1974 (ACM SIGSAM Bull. No. 31), Stockholm, Sweden, August 1974, pp. 46-54.
[2] DAVID Y. Y. YUN, Hensel Meets Newton-Algebraic Constructions in an Analytic Setting, RC 5538 IBM Research, July 1975, 11pp. · Zbl 0357.68040
[3] Hans Zassenhaus, On Hensel factorization. I, J. Number Theory 1 (1969), 291 – 311. · Zbl 0188.33703 · doi:10.1016/0022-314X(69)90047-X · doi.org
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