Scilab Website | Contribute with GitLab | Mailing list archives | ATOMS toolboxes
Scilab Online Help
5.4.1 - Русский

Change language to:
English - Français - 日本語 - Português -

Please note that the recommended version of Scilab is 2024.0.0. This page might be outdated.
See the recommended documentation of this function

Scilab help >> Linear Algebra > Factorization > householder

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 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 — QR decomposition
  • givens — Givens transformation
Report an issue
<< givens Factorization sqroot >>

Copyright (c) 2022-2023 (Dassault Systèmes)
Copyright (c) 2017-2022 (ESI Group)
Copyright (c) 2011-2017 (Scilab Enterprises)
Copyright (c) 1989-2012 (INRIA)
Copyright (c) 1989-2007 (ENPC)
with contributors
Last updated:
Tue Apr 02 17:37:55 CEST 2013