Article ID: CBB000770902

La première méthode générale de factorisation des polynômes. Autour d'un mémoire de F. T. Schubert (2001)

unapi

We analyse two little known papers of N.Bernoulli (1708) and F.T.Schubert (1794) on the factorization of integer polynomials as well as the work of L.Kronecker and B.A.Hausmann on the same topic. The factorization method of Bernoulli-Schubert uses the calculus and the interpolation of finite differences. It was rediscovered by Kronecker (1882), who used Lagrange interpolation. Both procedures allow the effective factorization of polynomials having small degrees and coefficients. An algorithm combining the results of Bernoulli-Schubert and Kronecker was obtained by B.A.Hausmann. His method is particularly useful for the factorization of stable polynomials. The three methods are briefly compared with modern factorization algorithms.

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Authors & Contributors
Robinet, André
Brechenmacher, Frédéric
Boniface, Jacqueline
Vergnerie, Cédric
Takács, Lajos
Schappacher, Norbert
Concepts
Mathematics
Algorithms
Bayes theorem
Differential and integral equations
Arithmetic
Controversies and disputes
Time Periods
18th century
19th century
20th century, early
20th century
17th century
Places
Italy
Sweden
China
Institutions
Università di Padova
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