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- Factorization_of_polynomials abstract "In mathematics and computer algebra, factorization of polynomials or polynomial factorization is the process of expressing a polynomial with coefficients in a given field or in the integers as the product of irreducible factors with coefficients in same domain. Polynomial factorization is one of the fundamental tools of the computer algebra systems.The history of polynomial factorization starts with Hermann Schubert who in 1793 described the first polynomial factorization algorithm, and Leopold Kronecker, who rediscovered Schubert's algorithm in 1882 and extended it to multivariate polynomials and coefficients in an algebraic extension. But most of the knowledge on this topic is not older than circa 1965 and the first computer algebra systems. In a survey of the subject, Erich Kaltofen wrote in 1982 (see the bibliography, below):When the long-known finite step algorithms were first put on computers, they turned out to be highly inefficient. The fact that almost any uni- or multivariate polynomial of degree up to 100 and with coefficients of a moderate size (up to 100 bits) can be factored by modern algorithms in a few minutes of computer time indicates how successfully this problem has been attacked during the past fifteen years.Nowadays one can quickly factor any univariate polynomial of degree 1000, and coefficients with thousands of digits.".
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- Factorization_of_polynomials wikiPageWikiLink Adjunction_(field_theory).
- Factorization_of_polynomials wikiPageWikiLink Bartel_Leendert_van_der_Waerden.
- Factorization_of_polynomials wikiPageWikiLink Carl_Friedrich_Gauss.
- Factorization_of_polynomials wikiPageWikiLink Category:Articles_with_inconsistent_citation_formats.
- Factorization_of_polynomials wikiPageWikiLink Category:Computer_algebra.
- Factorization_of_polynomials wikiPageWikiLink Category:Polynomials.
- Factorization_of_polynomials wikiPageWikiLink Characteristic_(algebra).
- Factorization_of_polynomials wikiPageWikiLink Complex_number.
- Factorization_of_polynomials wikiPageWikiLink Computer_algebra.
- Factorization_of_polynomials wikiPageWikiLink Computer_algebra_system.
- Factorization_of_polynomials wikiPageWikiLink Computer_algebra_systems.
- Factorization_of_polynomials wikiPageWikiLink Cubic_function.
- Factorization_of_polynomials wikiPageWikiLink Donald_E._Knuth.
- Factorization_of_polynomials wikiPageWikiLink Donald_Knuth.
- Factorization_of_polynomials wikiPageWikiLink Factorization_of_polynomials_over_finite_fields.
- Factorization_of_polynomials wikiPageWikiLink Field_(mathematics).
- Factorization_of_polynomials wikiPageWikiLink Field_extension.
- Factorization_of_polynomials wikiPageWikiLink Field_of_fractions.
- Factorization_of_polynomials wikiPageWikiLink Field_of_rational_functions.
- Factorization_of_polynomials wikiPageWikiLink Field_of_rationals.
- Factorization_of_polynomials wikiPageWikiLink Field_of_reals.
- Factorization_of_polynomials wikiPageWikiLink Finitely_generated_field_extension.
- Factorization_of_polynomials wikiPageWikiLink Formal_derivative.
- Factorization_of_polynomials wikiPageWikiLink Fundamental_theorem_of_algebra.
- Factorization_of_polynomials wikiPageWikiLink Gausss_lemma_(polynomial).
- Factorization_of_polynomials wikiPageWikiLink Greatest_common_divisor.
- Factorization_of_polynomials wikiPageWikiLink Hans_Zassenhaus.
- Factorization_of_polynomials wikiPageWikiLink Hensels_lemma.
- Factorization_of_polynomials wikiPageWikiLink Hermann_Schubert.
- Factorization_of_polynomials wikiPageWikiLink Integer.
- Factorization_of_polynomials wikiPageWikiLink Integer_factorization.
- Factorization_of_polynomials wikiPageWikiLink Integer_relation_algorithm.
- Factorization_of_polynomials wikiPageWikiLink Integers.
- Factorization_of_polynomials wikiPageWikiLink Irreducible_polynomial.
- Factorization_of_polynomials wikiPageWikiLink Lenstra–Lenstra–Lovász_lattice_basis_reduction_algorithm.
- Factorization_of_polynomials wikiPageWikiLink Leopold_Kronecker.
- Factorization_of_polynomials wikiPageWikiLink Linear_function.
- Factorization_of_polynomials wikiPageWikiLink Mathematics.
- Factorization_of_polynomials wikiPageWikiLink Mathematische_Annalen.
- Factorization_of_polynomials wikiPageWikiLink Modular_arithmetic.
- Factorization_of_polynomials wikiPageWikiLink Multiplicity_(mathematics).
- Factorization_of_polynomials wikiPageWikiLink Multivariate_polynomial.
- Factorization_of_polynomials wikiPageWikiLink Per_Enflo.
- Factorization_of_polynomials wikiPageWikiLink Polynomial.
- Factorization_of_polynomials wikiPageWikiLink Polynomial_factorization_over_finite_fields.
- Factorization_of_polynomials wikiPageWikiLink Polynomial_long_division.
- Factorization_of_polynomials wikiPageWikiLink Polynomial_ring.
- Factorization_of_polynomials wikiPageWikiLink Polynomial_time.
- Factorization_of_polynomials wikiPageWikiLink Prime_field.
- Factorization_of_polynomials wikiPageWikiLink Primitive_polynomial_(ring_theory).
- Factorization_of_polynomials wikiPageWikiLink Purely_transcendental.
- Factorization_of_polynomials wikiPageWikiLink Purely_transcendental_extension.
- Factorization_of_polynomials wikiPageWikiLink Rational_number.
- Factorization_of_polynomials wikiPageWikiLink Rational_root_test.
- Factorization_of_polynomials wikiPageWikiLink Rational_root_theorem.
- Factorization_of_polynomials wikiPageWikiLink Real_number.
- Factorization_of_polynomials wikiPageWikiLink Reduced_ring.
- Factorization_of_polynomials wikiPageWikiLink Root-finding_algorithm.
- Factorization_of_polynomials wikiPageWikiLink Root-finding_algorithms.
- Factorization_of_polynomials wikiPageWikiLink Springer-Verlag.
- Factorization_of_polynomials wikiPageWikiLink Springer_Science+Business_Media.
- Factorization_of_polynomials wikiPageWikiLink Square-free_polynomial.
- Factorization_of_polynomials wikiPageWikiLink Symbolic_computation.
- Factorization_of_polynomials wikiPageWikiLink The_Art_of_Computer_Programming.
- Factorization_of_polynomials wikiPageWikiLink Time_complexity.
- Factorization_of_polynomials wikiPageWikiLink Transcendence_degree.
- Factorization_of_polynomials wikiPageWikiLink Unique_factorization_domain.
- Factorization_of_polynomials wikiPageWikiLink Univariate.
- Factorization_of_polynomials wikiPageWikiLink Up_to.
- Factorization_of_polynomials wikiPageWikiLinkText "''x''(''x'' − 1)(''x'' + 1)".
- Factorization_of_polynomials wikiPageWikiLinkText "Factorization of polynomials".
- Factorization_of_polynomials wikiPageWikiLinkText "factor polynomials with rational coefficients".
- Factorization_of_polynomials wikiPageWikiLinkText "factor polynomials".
- Factorization_of_polynomials wikiPageWikiLinkText "factored into products of polynomials".
- Factorization_of_polynomials wikiPageWikiLinkText "factored".
- Factorization_of_polynomials wikiPageWikiLinkText "factoring".
- Factorization_of_polynomials wikiPageWikiLinkText "factorization of a polynomial".
- Factorization_of_polynomials wikiPageWikiLinkText "factorization of polynomials".
- Factorization_of_polynomials wikiPageWikiLinkText "factorization".
- Factorization_of_polynomials wikiPageWikiLinkText "polynomial factoring".
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- Factorization_of_polynomials subject Category:Articles_with_inconsistent_citation_formats.
- Factorization_of_polynomials subject Category:Computer_algebra.
- Factorization_of_polynomials subject Category:Polynomials.
- Factorization_of_polynomials hypernym Process.