- Frobenius matrix
- Математика: матрица Фробениуса
Универсальный англо-русский словарь. Академик.ру. 2011.
Frobenius matrix
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Frobenius matrix — A Frobenius matrix is a special kind of square matrix from the branch of mathematics known as numerical mathematics. A matrix is a Frobenius matrix if it has the following three properties: * all entries on the main diagonal are ones * the… … Wikipedia
Frobenius-Matrix — Eine Frobeniusmatrix ist eine spezielle Matrix aus dem mathematischen Teilgebiet der Numerik. Eine Matrix ist eine Frobeniusmatrix, wenn sie die folgenden drei Eigenschaften aufweist: auf der Hauptdiagonale stehen nur Einsen in höchstens einer… … Deutsch Wikipedia
Frobenius-Normalform — Die Frobenius Normalform (nach Ferdinand Georg Frobenius) oder rationale Normalform einer quadratischen Matrix A mit Einträgen in einem beliebigen Körper K ist eine transformierte Matrix T − 1AT (mit invertierbarer Matrix T), die eine spezielle… … Deutsch Wikipedia
Frobenius normal form — In linear algebra, the Frobenius normal form, Turner binormal projective form or rational canonical form of a square matrix A is a canonical form for matrices that reflects the structure of the minimal polynomial of A and provides a means of… … Wikipedia
Matrix norm — In mathematics, a matrix norm is a natural extension of the notion of a vector norm to matrices. Contents 1 Definition 2 Induced norm 3 Entrywise norms 3.1 Frobenius norm … Wikipedia
Frobenius theorem (differential topology) — In mathematics, Frobenius theorem gives necessary and sufficient conditions for finding a maximal set of independent solutions of an overdetermined system of first order homogeneous linear partial differential equations. In modern geometric terms … Wikipedia
Matrix multiplication — In mathematics, matrix multiplication is a binary operation that takes a pair of matrices, and produces another matrix. If A is an n by m matrix and B is an m by p matrix, the result AB of their multiplication is an n by p matrix defined only if… … Wikipedia
Matrix ring — In abstract algebra, a matrix ring is any collection of matrices forming a ring under matrix addition and matrix multiplication. The set of n×n matrices with entries from another ring is a matrix ring, as well as some subsets of infinite matrices … Wikipedia
Frobenius group — In mathematics, a Frobenius group is a transitive permutation group on a finite set, such that no non trivial elementfixes more than one point and some non trivial element fixes a point. They are named after F. G. Frobenius. Structure The… … Wikipedia
Frobenius algebra — In mathematics, especially in the fields of representation theory and module theory, a Frobenius algebra is a finite dimensional unital associative algebra with a special kind of bilinear form which gives the algebras particularly nice duality… … Wikipedia
Frobenius theorem — There are several mathematical theorems named after Ferdinand Georg Frobenius. They include:* Frobenius theorem in differential geometry and topology for integrable subbundles; * Frobenius theorem in abstract algebra characterizing the finite… … Wikipedia
