Scilab Website | Contribute with GitLab | Mailing list archives | ATOMS toolboxes
Scilab Online Help
5.3.0 - English

Change language to:
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 This page might be outdated.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 manual >> Linear Algebra > householder


Householder orthogonal reflexion matrix

Calling Sequence

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).

See Also

<< hess Linear Algebra im_inv >>

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:
Wed Jan 26 16:23:41 CET 2011