orth {ThreeWay}R Documentation

Orthonormalization of a matrix

Description

Returns an orthonormal basis for the range of A.

Usage

 orth(A)

Arguments

A

Matrix to be orthogonalized

Value

Q

Orthonormal basis for the range of A

Note

The columns of Q span the same space as the columns of A with t(Q)Q=I.
The number of columns of Q is the rank of A.

Author(s)

Maria Antonietta Del Ferraro mariaantonietta.delferraro@yahoo.it
Henk A.L. Kiers h.a.l.kiers@rug.nl
Paolo Giordani paolo.giordani@uniroma1.it

Examples

X <- matrix(rnorm(6*3),ncol=3)
Y <- orth(X)

[Package ThreeWay version 1.1.3 Index]