Provided by: liblapack-doc_3.3.1-1_all bug

NAME

       LAPACK-3 - generates a real elementary reflector H of order n, such that   H * ( alpha ) =
       ( beta ), H**T * H = I

SYNOPSIS

       SUBROUTINE SLARFGP( N, ALPHA, X, INCX, TAU )

           INTEGER         INCX, N

           REAL            ALPHA, TAU

           REAL            X( * )

PURPOSE

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

ARGUMENTS

        N       (input) INTEGER
                The order of the elementary reflector.

        ALPHA   (input/output) REAL
                On entry, the value alpha.
                On exit, it is overwritten with the value beta.

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

        INCX    (input) INTEGER
                The increment between elements of X. INCX > 0.

        TAU     (output) REAL
                The value tau.

 LAPACK auxiliary routine (version 3.3.1)   April 2011                           SLARFGP(3lapack)