orth: Orthogonalize a matrix

In OmicsPLS: Data Integration with Two-Way Orthogonal Partial Least Squares

Orthogonalize a matrix

Description

Orthogonalize a matrix

Usage

orth(X, X_true = NULL, type = c("QR", "SVD"))

Arguments

X	Numeric vector or matrix.
X_true	(optional) A 'true' matrix/vector. Used to correct the sign of the orthonormalized X if QR is used. Only the first column is corrected.
type	A character or numeric. Should be one of "QR" or "SVD".

Details

Choosing type='QR' uses a QR decomposition of X to produce orthonormal columns. For type=='SVD' it uses an SVD decomposition. The columns are corrected for sign.

Value

An orthogonalized representation of X

Examples

orth(c(3,4))
round(crossprod(orth(matrix(rnorm(500),100,5))),4)
orth(matrix(1:9,3,3),type='QR')[,1] - orth(1:3); orth(matrix(1:9,3,3),type='SVD')[,1] - orth(1:3);

OmicsPLS documentation built on April 3, 2025, 5:25 p.m.