(Mathematics)mathsa matrix that is the transpose of the matrix of the complex conjugates of the entries of a given matrix. Also called:adjoint [C19: named after CharlesHermite(1822–1901), French mathematician] Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCol...
The use of complex Hermitian adjacency matrices allows to store more data relevant to asymmetric communication, and extends the interpretation of the resulting eigensystem beyond the principal eigenpair. This is based on the fact, that the adjacency matrix is transformed into a linear self-adjoint ...
数学名词 adjoint伴随矩阵 hermitian厄密共轴
Adjoint of a matrix Denoted by adjA, this is defined for square matrices A only. It is the transpose of the matrix whose elements are the cofactors of the elements of A. The cofactors Aij of aij are given by Aij=−1i+jMij
In mathematics, a Hermitian matrix (or self-adjoint matrix) is a square matrix with complex entries that is equal to its own conjugate transpose – that is, the element in the i-th row and j-th column is equal to the complex conjugate of the element in the j-th row and i-th column...
11.Some Common Properties Among Invertible Matrix,Adjoint Matrix and Inverse Matrix可逆矩阵及其伴随矩阵、逆矩阵的一些共同特性 12.block multiplication of matrices矩阵的分块乘法;矩阵的分块乘法;矩阵分块乘法;矩阵分块乘法 13.Inverse Matrix of Triple-diaganal Symmetry Toeplitz Matrix;Toeplitz矩阵逆阵的一种...
In mathematics, aHermitian matrix(orself-adjoint matrix) is acomplexsquare matrixthat is equal to its ownconjugate transpose—that is, the element in thei-th row andj-th column is equal to thecomplex conjugateof the element in thej-th row andi-th column, for all indicesi andj: ...
A matrix is Hermitian or self-adjoint if H†=H. The matrices σ1,σ2, and σ3 introduced above are all Hermitian. The Hermitian conjugate of a product equals the product of conjugates in reverse order: (9.56)(AB)†=B†A† analogous to the inverse of a product. The same orderin...
an expression of the type where akt= ātk(ā is the complex conjugate ofa).A matrix constructed from the coefficients of a Hermitian form is said to be Hermitian, as is a linear transformation that is defined by a Hermitian matrix. In 1854, C. Hermite investigated the representation of whol...
A self-adjoint operator has a Hermitian matrix representation in which the Hermitian matrix is equal to the complex conjugate of its transpose in which the matrix rows and columns are exchanged. The Hermitian matrix representation of A^, the conjugate transpose, is (90)A^+=A^T∗. The matri...