1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
|
.TH householder G "April 1993" "Scilab Group" "Scilab Function"
.so ../sci.an
.SH NAME
qr - Householder orthogonal reflexion matrix
.SH CALLING SEQUENCE
.nf
u=householder(v [,w])
.fi
.SH PARAMETERS
.TP
v
: real or complex column vector
.TP
w
: real or complex column vector with same size as \fVv\fR. Default value is \fVeye(v)\fR
.TP
u
: real or complex column vector
.SH DESCRIPTION
given 2 column vectors \fVv\fR, \fV w\fR of same size, \fVhouseholder(v,w)\fR returns a unitary
column vector \fVu\fR, such that \fV (eye-2*u*u')*v\fR is proportional to \fVw\fR.
\fV(eye-2*u*u')\fR is the orthogonal Householder reflexion matrix .
\fVw\fR default value is \fV eye(v)\fR. In this case vector \fV (eye-2*u*u')*v\fR is the
vector \fV eye(v)*norm(v)\fR.
.SH SEE ALSO
qr, givens
|
