Scilab 5.5.2
Please note that the recommended version of Scilab is 2025.0.0. This page might be outdated.
See the recommended documentation of this function
householder
Householder orthogonal reflexion matrix
Calling Sequence
u=householder(v [,w])
Arguments
- v
real or complex column vector
- w
real or complex column vector with same size as
v
. Default value iseye(v)
- u
real or complex column vector
Description
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)
.
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