Sentence examples for matrix the eigenvectors from inspiring English sources

With the covariance matrix, the eigenvectors and eigenvalues are calculated.

For the two-level circulant matrix, the eigenvectors correspond to the kronecker product between all the columns of the fast Fourier transform matrix with dimensions M × M and N c × N c.

In Nystrom approximation, the kernel matrix will be decomposed into eigenvalues/eigenvectors matrices in the form: (5) K n × n = U n Λ n U n T, where Λ n = diag(λ i ) and λ1 ≥ λ2 ≥ ⋯≥ λ n ≥ 0 are the eigenvalues of the matrix K, U n is the matrix of the eigenvectors that correspond to the eigenvalues, and n is the number of the data points.

We further estimated the goodness of fit of the PCoA by generating a model distance matrix from the eigenvector matrix (using 'Simint') and comparing it with the original Dice coefficient matrix (with 'Mxcomp' and 1000 permutations).

where V v denotes the orthogonal matrix of the eigenvectors, and Λ v is the diagonal matrix of the corresponding eigenvalues.

mathrm{Final}kern0.5em mathrm{F}mathrm{eature}kern0.5em mathrm{R}mathrm{ern0.5em =kern0.5em mathrm{R}mathrm{F}mathrm{E}ast mathrm{R}mathrm{D}mathrm{M} (4 where RFE is the matrix with the eigenvectors in the columns transposed and RDM is the matrix mean-adjusted data transposed.

where V denotes the orthogonal matrix of the eigenvectors, and Λ=diag{λ 1,…,λ NL } is the diagonal matrix of the corresponding eigenvalues.

The auto-correlation matrix can be decomposed as R U = T Λ T TT, where Λ is a diagonal matrix containing the eigenvalues for the entire network and T is a matrix containing the eigenvectors corresponding to these eigenvalues.

(2). is the matrix of the eigenvectors obtained by PCA. is the appearance parameters vector.

where E n is the matrix containing the eigenvectors associated to the noise subspace.

where is the matrix containing the eigenvectors, and as its columns and are the eigenvalues corresponding to the eigenvectors.