Engineering↗
Factorisation of Polynomials Modulo a Prime
Squarefree decomposition, distinct-degree factorisation by gcd with x^(q^d) − x, equal-degree splitting by Cantor-Zassenhaus, and Berlekamp's linear-algebra approach.
Tag
Polynomial Algorithms
Every page in the KEVOS library tagged Polynomial Algorithms. 5 pages.
Engineering↗
Hensel Lifting and Factorisation over the Integers
Hensel's lemma and quadratic lifting, Mignotte's coefficient bounds, the exponential recombination problem, and the LLL-based polynomial-time solution.
Engineering↗
Polynomial Arithmetic and GCD in Unique Factorisation Domains
Dense and sparse polynomial representation, multiplication algorithms, pseudo-division over a UFD, primitive parts and content, and the subresultant and modular remedies for coe…
Engineering↗
Root Finding over the Complex Numbers
Numerical root finding for polynomials over C: conditioning, the Newton and Aberth methods, splitting-circle approaches, and the precision management needed to support exact num…
Engineering↗
The Subresultant Algorithm, Resultants and Discriminants
The subresultant polynomial remainder sequence, the resultant as a determinant and as a product over roots, the discriminant, and their use in elimination and in number field ar…
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