- nilpotent matrix
- мат. нильпотентная матрица
Большой англо-русский и русско-английский словарь. 2001.
nilpotent matrix
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Nilpotent matrix — In linear algebra, a nilpotent matrix is a square matrix N such that for some positive integer k. The smallest such k is sometimes called the degree of N. More generally, a nilpotent transformation is a linear transformation L of a vector space… … Wikipedia
Nilpotent orbit — Nilpotent orbits are generalizations of nilpotent matrices that play an important role in representation theory of real and complex semisimple Lie groups and semisimple Lie algebras. Contents 1 Definition 2 Examples 3 Properties … Wikipedia
Nilpotent — This article is about a type of element in a ring. For the type of group, see Nilpotent group. In mathematics, an element x of a ring R is called nilpotent if there exists some positive integer n such that xn = 0. The term was… … Wikipedia
Matrix exponential — In mathematics, the matrix exponential is a matrix function on square matrices analogous to the ordinary exponential function. Abstractly, the matrix exponential gives the connection between a matrix Lie algebra and the corresponding Lie group.… … Wikipedia
Nilpotent operator — In operator theory, a bounded operator T on a Hilbert space is said to be nilpotent if Tn = 0 for some n. It is said to be quasinilpotent or topological nilpotent if its spectrum σ(T) = {0}. Examples In the finite dimensional case, i.e. when T is … Wikipedia
Nilpotent group — Concepts in group theory category of groups subgroups, normal subgroups group homomorphisms, kernel, image, quotient direct product, direct sum semidirect product, wreath product … Wikipedia
Matrix (Mathematik) — Schema für eine allgemeine m×n Matrix In der Mathematik versteht man unter einer Matrix (Plural: Matrizen) eine rechteckige Anordnung (Tabelle) von Elementen bzw. mathematischen Objekten, mit denen man in bestimmter Weise rechnen kann (z. B … Deutsch Wikipedia
Matrix function — In mathematics, a matrix function is a function which maps a matrix to another matrix. Contents 1 Extending scalar functions to matrix functions 1.1 Power series 1.2 Jordan decomposition … Wikipedia
Nilpotent — Das Adjektiv nilpotent (von lat. nihil = nichts, potens = fähig) tritt in der Mathematik in mehreren Bedeutungen auf: Als Eigenschaft von Matrizen, siehe nilpotente Matrix Allgemeiner als Eigenschaft von Ringelementen, siehe Nilpotenz Als… … Deutsch Wikipedia
Shift matrix — In mathematics, a shift matrix is a binary matrix with ones only on the superdiagonal or subdiagonal, and zeroes elsewhere. A shift matrix U with ones on the superdiagonal is an upper shift matrix.The alternative subdiagonal matrix L is… … Wikipedia
Logarithm of a matrix — In mathematics, a logarithm of a matrix is another matrix such that the matrix exponential of the latter matrix equals the original matrix. It is thus a generalization of the scalar logarithm and in some sense an inverse function of the matrix… … Wikipedia
