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Scilab Help >> Linear Algebra > Factorization > 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

  • qr — QR decomposition
  • givens — Givens transformation
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Last updated:
Wed Apr 01 10:13:53 CEST 2015