F06FRF generates a real elementary reflection in the NAG (as opposed to LINPACK) style.
F06FRF generates details of a real elementary reflection (Householder matrix),
P, such that
where
P is orthogonal,
α and
β are real scalars, and
x is an
n-element real vector.
If
x is such that
where
ε is the
machine precision and
tol is a user-supplied tolerance, then
ζ is set to
0,
and
P can be taken to be the unit matrix. Otherwise
1≤ζ≤2.
None.
None.
Not applicable.
None.
None.