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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https://data.isiscb.org/isis/citation/CBB000770902/

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Authors & Contributors
Boniface, Jacqueline
Brechenmacher, Frédéric
Blay, Michel
Cantor, Georg
Carvais, Robert
Chen, Jiang-Ping Jeff
Journals
Archive for History of Exact Sciences
Journal Electronique d'Histoire des Probabilités et de la Statistique
Revue d'Histoire des Mathématiques
British Society for the History of Mathematics Bulletin
Revue d'Histoire des Sciences
Rutherford Journal: The New Zealand Journal for the History and Philosophy of Science and Technology
Publishers
American Mathematical Society
New York, City University of
Crítica
Ellipses
Kluwer Academic
LINT
Concepts
Mathematics
Algorithms
Algebra
Arithmetic
Probability and statistics
Controversies and disputes
People
Kronecker, Leopold
Bernoulli, Nikolaus
Hilbert, David
Bernoulli, family
Dedekind, Richard
Jordan, Camille
Time Periods
18th century
19th century
17th century
20th century, early
20th century
Places
China
Italy
Sweden
Institutions
University of Chicago
Università di Padova
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