householder — Householder orthogonal reflexion matrix
u=householder(v [,w])
real or complex column vector
real or complex column vector with same size as v
. Default value is eye(v)
real or complex column vector
given 2 column vectors v
, w
of same size, householder(v,w)
returns a unitary
column vector u
, such that (eye()-2*u*u')*v
is proportional to w
.
(eye()-2*u*u')
is the orthogonal Householder reflexion matrix .
w
default value is eye(v)
. In this case vector (eye()-2*u*u')*v
is the
vector eye(v)*norm(v)
.