Each eigenvalue λ i can be then interpreted as the percentage of the total variance that is accounted for by the variance along the corresponding eigenvector v i.
Denote the largest eigenvalue by λ and the corresponding eigenvector by v.
For each word in the vocabulary, a rotation matrix will be formed by the corresponding eigenvectors.
The eigenvalues give a measure of the variance accounted by the corresponding eigenvectors (components) [42].
If a few leading eigenvalues strongly dominate all others, the data is well captured (in terms of its variability structure) by a projection on the space spanned by the corresponding eigenvectors.
If a few leading eigenvalues strongly dominate all others, the data is well captured (in terms of group separation) by a projection on the space spanned by the corresponding eigenvectors.
By means of the corresponding eigenvectors, the contribution of each element of the impulse dynamic subspace is determined and the sufficient decomposition of the corresponding FRF is carried out.
We denote by b1,b2,…,b L, the corresponding eigenvectors.
Columns γ i are determined as the corresponding eigenvectors of Σ, scaled by the square root of the respective eigenvalues.
The ellipsoid orientation is defined through the eigenvectors; thus, the problem of comparing two ellipsoids can be solved by comparing the corresponding eigenvectors.
