minimal polynomial
EnglishEdit
NounEdit
minimal polynomial (plural minimal polynomials)
 (linear algebra) Given a square matrix M over a field K, the minimal polynomial is the monic polynomial over K of smallest degree, which when applied to M yields the zero matrix.
 (field theory) Given a number α which belongs to some extension field of a field K and is algebraic over K, the minimal polynomial for α over K is the monic polynomial over K of smallest degree for which α is a root.
TranslationsEdit
monic polynomial of smallest degree having an element as a root

