Principal Component Analysis of an array of matrices

Usage

"pca"(x, use.svd = TRUE, ...)

Arguments

x
an array of matrices, e.g. correlation or covariance matrices as obtained from functions dccm or enma2covs.
use.svd
logical, if TRUE singular value decomposition (SVD) is called instead of eigenvalue decomposition.
...
.

Description

Calculate the principal components of an array of correlation or covariance matrices.

Details

This function performs PCA of symmetric matrices, such as distance matrices from an ensemble of crystallographic structures, residue-residue cross-correlations or covariance matrices derived from ensemble NMA or MD simulation replicates, and so on. The ‘upper triangular’ region of the matrix is regarded as a long vector of random variables. The function returns M eigenvalues and eigenvectors with each eigenvector having the dimension N(N-1)/2, where M is the number of matrices and N the number of rows/columns of matrices.

Value

Returns a list with components equivalent to the output from pca.xyz.

References

Grant, B.J. et al. (2006) Bioinformatics 22, 2695--2696.

See also

pca.xyz

Author

Xin-Qiu Yao, Lars Skjaerven