- skew hermitian matrix
- эрмитовая кососимметричная матрица
English-Russian dictionary of computer science. 2015.
skew hermitian matrix
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Skew-Hermitian matrix — In linear algebra, a square matrix (or more generally, a linear transformation from a complex vector space with a sesquilinear norm to itself) A is said to be skew Hermitian or antihermitian if its conjugate transpose A * is also its negative.… … Wikipedia
Skew-symmetric matrix — In linear algebra, a skew symmetric (or antisymmetric) matrix is a square matrix A whose transpose is also its negative; that is, it satisfies the equation:: A T = − A or in component form, if A = ( a ij ):: a ij = − a ji for all i and j .For… … Wikipedia
Hermitian matrix — A Hermitian matrix (or self adjoint matrix) is a square matrix with complex entries which is equal to its own conjugate transpose mdash; that is, the element in the i th row and j th column is equal to the complex conjugate of the element in the… … 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
Matrix (mathematics) — Specific elements of a matrix are often denoted by a variable with two subscripts. For instance, a2,1 represents the element at the second row and first column of a matrix A. In mathematics, a matrix (plural matrices, or less commonly matrixes)… … Wikipedia
Normal matrix — A complex square matrix A is a normal matrix if where A* is the conjugate transpose of A. That is, a matrix is normal if it commutes with its conjugate transpose. If A is a real matrix, then A*=AT. Hence, the matrix is normal if ATA = AAT.… … Wikipedia
Symmetric matrix — In linear algebra, a symmetric matrix is a square matrix, A , that is equal to its transpose:A = A^{T}. ,!The entries of a symmetric matrix are symmetric with respect to the main diagonal (top left to bottom right). So if the entries are written… … Wikipedia
Diagonalizable matrix — In linear algebra, a square matrix A is called diagonalizable if it is similar to a diagonal matrix, i.e., if there exists an invertible matrix P such that P −1AP is a diagonal matrix. If V is a finite dimensional vector space, then a linear … Wikipedia
Symplectic matrix — In mathematics, a symplectic matrix is a 2n times; 2n matrix M (whose entries are typically either real or complex) satisfying the condition:M^T Omega M = Omega,.where MT denotes the transpose of M and Omega; is a fixed nonsingular, skew… … Wikipedia
Centrosymmetric matrix — In mathematics, especially in linear algebra and matrix theory, a centrosymmetric matrix is a matrix which is symmetric about its center. More precisely, an n × n matrix A = [ Ai,j ] is centrosymmetric when its entries satisfy Ai,j = An−i+1,n−j+1 … Wikipedia
List of matrices — This page lists some important classes of matrices used in mathematics, science and engineering: Matrices in mathematics*(0,1) matrix a matrix with all elements either 0 or 1. Also called a binary matrix . *Adjugate matrix * Alternant matrix a… … Wikipedia
