slarfgp.f man page

slarfgp.f

Synopsis

Functions/Subroutines

subroutine slarfgp (N, ALPHA, X, INCX, TAU)
SLARFGP generates an elementary reflector (Householder matrix) with non-negative beta.

Function/Subroutine Documentation

subroutine slarfgp (integer N, real ALPHA, real, dimension( * ) X, integer INCX, real TAU)

SLARFGP generates an elementary reflector (Householder matrix) with non-negative beta.  

Purpose:

 SLARFGP generates a real elementary reflector H of order n, such
 that

       H * ( alpha ) = ( beta ),   H**T * H = I.
           (   x   )   (   0  )

 where alpha and beta are scalars, beta is non-negative, and x is
 an (n-1)-element real vector.  H is represented in the form

       H = I - tau * ( 1 ) * ( 1 v**T ) ,
                     ( v )

 where tau is a real scalar and v is a real (n-1)-element
 vector.

 If the elements of x are all zero, then tau = 0 and H is taken to be
 the unit matrix.
Parameters:

N

          N is INTEGER
          The order of the elementary reflector.

ALPHA

          ALPHA is REAL
          On entry, the value alpha.
          On exit, it is overwritten with the value beta.

X

          X is REAL array, dimension
                         (1+(N-2)*abs(INCX))
          On entry, the vector x.
          On exit, it is overwritten with the vector v.

INCX

          INCX is INTEGER
          The increment between elements of X. INCX > 0.

TAU

          TAU is REAL
          The value tau.
Author:

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Date:

November 2017

Definition at line 106 of file slarfgp.f.

Author

Generated automatically by Doxygen for LAPACK from the source code.

Referenced By

The man page slarfgp(3) is an alias of slarfgp.f(3).

Tue Nov 14 2017 Version 3.8.0 LAPACK