File: householder.cat

package info (click to toggle)
scilab 2.6-4
  • links: PTS
  • area: non-free
  • in suites: woody
  • size: 54,632 kB
  • ctags: 40,267
  • sloc: ansic: 267,851; fortran: 166,549; sh: 10,005; makefile: 4,119; tcl: 1,070; cpp: 233; csh: 143; asm: 135; perl: 130; java: 39
file content (24 lines) | stat: -rw-r--r-- 740 bytes parent folder | download
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
householder        Scilab Group        Scilab Function          householder
NAME
   householder - Householder orthogonal reflexion matrix
  
CALLING SEQUENCE
 u=householder(v [,w])
PARAMETERS
 v    : real or complex column vector
      
 w    : real or complex column vector with same size as v. Default value
      is eye(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).
  
SEE ALSO
   qr, givens