It follows from non-negative definiteness of the matrix Γx(Kx) that its determinant is real, non-negative and is equal to zero if and only if the components of the random vector X (respectively X0 = X − mx) are linearly dependent. The determinant of a Hermitian matrix is equal to...
The special case of Π(0, 1, 0,…, 0) is called the shift matrix, since post-multiplying any matrix by Π shifts its columns exactly one place to the right. An n × n permutation matrix P has a single value equal to 1 in every row and column of the matrix (the other values ...
A matrix is a metal bar with the face of a letter or sign stamped (by pressure of a punch) or engraved on one of its edges. Characters or lines with a raised printing surface are formed on a matrix pressed to the mold by filling the cavities of the casting mold and face with ...
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...
本方法首先根据分块Hermitian矩阵性质, 递推得到第1个阵元的协方差逆矩阵, 然后按照阵元阶数逐级递推得到最终的空时协方差逆矩阵, 进而得到STAP自适应权值。 springer The Gaussian elimination for matrix inversion is probably the oldest solution but this approach does not efficiently use the symmetry of ...
(mathematics) a square matrix which, when multiplied by another (in either order), yields the identity matrix [..] + 添加翻译 英文-加泰罗尼亚文字典 Matriu invertible square matrix with non-zero determinant wikidata 显示算法生成的翻译 将“ invertible matrix "自动翻译成 加泰罗尼亚文 ma...
The non-ergodic extended (NEE) regime in physical and random matrix (RM) models has attracted a lot of attention in recent years. Formally, NEE regime is characterized by its fractal wavefunctions and long-range spectral correlations such as number variance or spectral form factor. More recently...
A positive definite matrix is a square matrix where all of its eigenvalues are positive. In other words, when the matrix is multiplied by any non-zero vector, the result is always a positive value. What are eigenvalues and eigenvectors?
Another useful property holds forinvolutory matrices. An involutory matrixBis both unitary and Hermitian, that is,B=B−1=B†. Then, an involutory matrix is a square matrix equal to its own inverse,B2=1. By applying this property to the above expansion of the matrix exponential, group...
Here the vectoryis conjugated and then multiplied by its transpose. Asyis of length N·M, the covariance matrixSIis of size [(N·M)×(N·M)] as shown inFig. 21.5. This isa matrix of [192,192] for the configuration being considered. All the data and computations are being done with...