Sentence examples for by eigenvalue decomposition of from inspiring English sources

The eigenvectors that make the new coordinate system are computed by eigenvalue decomposition of the covariance matrix as follows: (1).

where λ(k) is the k th diagonal element of the eigenvalue matrix obtained by eigenvalue decomposition of R(s+v)(s+v)(n−k0).

When MIMO CSI is available at the TX, orthogonal transmit beams can be formed by eigenvalue decomposition of the matrix H H H where H denotes the MIMO channel matrix, and denotes Hermitian transpose.

where λ(k) is the k th diagonal element of the eigenvalue matrix obtained by eigenvalue decomposition of R(s+v)(s+v)(n−k0) and r U (n−k0−k) is the k th element of U T r ( x s + x v ) ( s + v ) ( n − k 0 ) = r ( x s + x v ) ( s + v ) U ( n − k 0 ) with the matrix U consisting of eigenvectors corresponding to eigenvalues.

Their interactivity scale is a kind of hydrophobicity scale, obtained by eigenvalue decomposition of a contact potential and subsequent optimizations.

PCA was carried out by eigenvalue decomposition of the covariance matrix after mean centering the data matrix for each attribute.

We can show this by the eigenvalue decomposition of (18).

The computation complexity of the noise power is dominated by the eigenvalue decomposition of ({{hat {{mathbf {R}}}}_{text {x}}}^), which is O(M 3).

The computation complexity of the solution the final weight vector is dominated by the eigenvalue decomposition of R ˜ f, which is O(M3).

fThe main source of complexity of DoA estimation is given by the eigenvalue decomposition of the covariance matrix, which is also required for most of the existing multi-antenna detection techniques.

This is accomplished by the eigenvalue decomposition of a matrix X'(L+L')X where L synthesizes spatial structure among populations via a neighboring graph (in our study a Gabriel neighboring graph was chosen) connecting the populations on the geographical map [17], [43] to model spatial structure among breeds.