Minimal polynomial (linear algebra) — For the minimal polynomial of an algebraic element of a field, see Minimal polynomial (field theory). In linear algebra, the minimal polynomial μA of an n by n matrix A over a field F is the monic polynomial P over F of least degree such that… … Wikipedia
Minimal polynomial (field theory) — For the minimal polynomial of a matrix, see Minimal polynomial (linear algebra). In field theory, given a field extension E / F and an element α of E that is an algebraic element over F, the minimal polynomial of α is the monic polynomial p, with … Wikipedia
Polynomial — In mathematics, a polynomial (from Greek poly, many and medieval Latin binomium, binomial [1] [2] [3], the word has been introduced, in Latin, by Franciscus Vieta[4]) is an expression of finite length constructed from variables (also known as… … Wikipedia
Polynomial factorization — In mathematics and computer algebra, polynomial factorization typically refers to factoring a polynomial into irreducible polynomials over a given field. Formulation of the questionOther factorizations, such as square free factorization exist,… … Wikipedia
Polynomial — Polynôme Courbe polynomiale cubique Un polynôme, en mathématiques, est la combinaison linéaire des produits de puissances d une ou de plusieurs indéterminées, habituellement notées X, Y, Z… Ces objets sont largement utilisés en pratique, ne… … Wikipédia en Français
Characteristic polynomial — This article is about the characteristic polynomial of a matrix. For the characteristic polynomial of a matroid, see Matroid. For that of a graded poset, see Graded poset. In linear algebra, one associates a polynomial to every square matrix: its … Wikipedia
Conway polynomial (finite fields) — In mathematics, the Conway polynomial Cp,n for the finite field Fpn is a particular irreducible polynomial of degree n over Fp that can be used to define a standard representation of Fpn as a splitting field of Fp. Conway polynomials were named… … Wikipedia
Primitive polynomial — In field theory, a branch of mathematics, a primitive polynomial is the minimal polynomial of a primitive element of the finite extension field GF( p m ). In other words, a polynomial F(X) with coefficients in GF( p ) = Z/ p Z is a primitive… … Wikipedia
Reciprocal polynomial — In mathematics, for a polynomial p with complex coefficients,:p(z) = a 0 + a 1z + a 2z^2 + ldots + a nz^n ,!we define the reciprocal polynomial, p*:p^*(z) = overline{a} n + overline{a} {n 1}z + ldots + overline{a} 0z^n = z^noverline{p(ar{z}^{… … Wikipedia
List of polynomial topics — This is a list of polynomial topics, by Wikipedia page. See also trigonometric polynomial, list of algebraic geometry topics.Basics*Polynomial *Coefficient *Monomial *Polynomial long division *Polynomial factorization *Rational function *Partial… … Wikipedia
