minimal polynomial

Noun

 * 1)  For a given square matrix M over some field K, the smallest-degree monic polynomial over K which, when applied to M, yields the zero matrix.
 * 2) * 1965 [John Wiley], Robert B. Ash, Information Theory, 1990, Dover, page 161,
 * A procedure for obtaining the minimal polynomial of the matrix $$T^i$$, without actually computing the powers of $$T$$ is indicated in the solution to Problem 5.9.
 * 1) * 2007, A. R. Vasishta, Vipin Vasishta, A.K. Vasishta, Abstract and Linear Algebra, Krishna Prakashan Media, 3rd Edition, page CA-439,
 * Theorem 1. The minimal polynomial of a matrix or of a linear operator is unique.
 * 1)  Given an algebraic element α of a given extension field of some field K, the monic polynomial of smallest degree of which α is a root.
 * Theorem 1. The minimal polynomial of a matrix or of a linear operator is unique.
 * 1)  Given an algebraic element α of a given extension field of some field K, the monic polynomial of smallest degree of which α is a root.

Translations

 * Finnish: minimipolynomi
 * French: polynôme minimal
 * Italian: polinomio minimo