Asymptotic convergence rates are established for both element pairs, including the use of inexact quadrature (which diagonalizes the velocity mass matrix) for the PCn−PDGn−1 pair and reduced quadrature for the GDn−DGDn−1 pair.
Let A, B be 2 × 2 matrices with 0 < B ≤ A and B = ( 1 0 0 b ), and let U be a unitary which diagonalizes A as U ∗ A U = ( d 1 0 0 d 2 ).
This distance matrix is transformed into a centred matrix, which is then diagonalized.
Apparently the precoding matrix can diagonalize channel matrix, which ensures that the interference at each user can be eliminated.
Apparently the precoding matrix can diagonalize channel matrix, which ensures that the interference at each user can be eliminated, H H Q H = α R 2 diag { | h 1 | 2, …, | h M | 2 }. (12).
It is well known that for a proportionally (or classically) damped system there always exists a real matrix of eigenvectors which simultaneously diagonalizes the three system matrices of inertia, damping and stiffness, even if the system possesses repeated eigenvalues.
Thereby, we obtain a general form which simultaneously diagonalizes covariance matrices through independently precoding.
TDSEP thus computes as the matrix that jointly diagonalizes a set of whitened cross-covariances Σ.
|| · || F is the Frobenius Norm, diag(A) and OffDiag (A) are the diagonal and off-diagonal elements of the matrix A. Block diagonalizing the matrices A and B is denoted as blockdiag(A, B).
Under ideal conditions, the matrix is diagonalized and the remaining factors can be merged with.
