myorth {ffmanova} | R Documentation |
Rank and orthonormal basis
Description
myorth(X)
makes an orthonormal basis for the space spanned by the
columns of X
. The number of columns returned equals myrank(X)
,
which is the rank of X
.
Usage
myorth(X, tol_ = 1e-09)
Arguments
X |
numeric matrix. |
tol_ |
tuning parameter for the rank. |
Details
The calculations are based on the singular value decomposition
(svd
). And myrank(X)
is the number of singular values
of X
that are larger than max(dim(X))*svd(x)$d[1]*tol_
.
Value
myorth
returns a matrix, whose columns form an orthonormal
basis.
myrank
returns a single number, which is the rank of X
.
Note
In the special case where X
has a single column,
myorth(X)
returns c*X
where c
is a positive constant.
Author(s)
Øyvind Langsrud and Bjørn-Helge Mevik
See Also
[Package ffmanova version 1.1.2 Index]