operator A {\displaystyle A} on an inner product space defines a Hermitian adjoint (or adjoint) operator A ∗ {\displaystyle A^{*}} on that space according...
18 KB (3,265 words) - 23:54, 11 January 2024
case of matrices Hermitian adjoint (adjoint of a linear operator) in functional analysis Adjoint endomorphism of a Lie algebra Adjoint representation of...
1 KB (192 words) - 09:14, 18 September 2023
Conjugate transpose (redirect from Adjoint matrix)
entries. Other names for the conjugate transpose of a matrix are Hermitian conjugate, adjoint matrix or transjugate. The conjugate transpose of a matrix A...
10 KB (1,711 words) - 05:55, 26 August 2024
own adjoint. If V is finite-dimensional with a given orthonormal basis, this is equivalent to the condition that the matrix of A is a Hermitian matrix...
48 KB (8,052 words) - 08:56, 23 July 2024
algebra, a square matrix with complex entries is said to be skew-Hermitian or anti-Hermitian if its conjugate transpose is the negative of the original matrix...
6 KB (921 words) - 04:22, 16 April 2024
In mathematics, a Hermitian matrix (or self-adjoint matrix) is a complex square matrix that is equal to its own conjugate transpose—that is, the element...
20 KB (3,013 words) - 18:34, 4 August 2024
Transpose of a linear map (redirect from Algebraic adjoint)
formally similar to the definition of the Hermitian adjoint, however, the transpose and the Hermitian adjoint are not the same map. The transpose is a...
15 KB (2,716 words) - 12:41, 17 October 2023
the Hermitian adjoint. Possibly to avoid confusion with the usual Hermitian adjoint, some textbooks do not provide a name for the Dirac adjoint but simply...
3 KB (465 words) - 23:01, 12 December 2022
is a continuous linear operator N : H → H that commutes with its Hermitian adjoint N*, that is: NN* = N*N. Normal operators are important because the...
10 KB (1,483 words) - 11:33, 23 March 2024