tells whether or not to do the tests using the rows rather than on the columns.
The default is to use the columns.
VALUE:
For
is.Orthonormal ,
is.ColOrthonormal and
is.RowOrthonormal a
logical value is returned.
If
tol is missing from
is.Orthonormal , this value is equivalent to
inherits(x, "Orthonormal")
.
Otherwise the result is
TRUE if the maximum of the modulus of the inner
products between rows or columns of the matrix and the difference of the
norms of rows or columns from 1 is less than or equal to
tol ,
and
FALSE otherwise.
For
Orthonormal.test , the maximum of the modulus of the
inner products between rows or columns of the matrix and the difference of the
norms of rows or columns from 1 is returned.
SEE ALSO:
.
EXAMPLES:
v <- rnorm(3)
v <- v /vecnorm(v)
x <- diag(3) - 2 * (v %*% t(v))
is.Orthonormal(x)
# [1] F
is.Orthonormal(x, tol = .Machine$double.eps)
# [1] F
is.Orthonormal(x, tol = sqrt(.Machine$double.eps))
# [1] T
Orthonormal.test(x)