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

NAME

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

SYNOPSIS

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

           INTEGER         INCX, N

           COMPLEX         ALPHA, TAU

           COMPLEX         X( * )

PURPOSE

       CLARFGP generates a complex elementary reflector H of order n, such that
                     (   x   )   (   0  )
        where alpha and beta are scalars, beta is real and non-negative, and
        x is an (n-1)-element complex vector.  H is represented in the form
              H = I - tau * ( 1 ) * ( 1 v**H ) ,
                            ( v )
        where tau is a complex scalar and v is a complex (n-1)-element
        vector. Note that H is not hermitian.
        If the elements of x are all zero and alpha is real, 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) COMPLEX
                On entry, the value alpha.
                On exit, it is overwritten with the value beta.

        X       (input/output) COMPLEX 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) COMPLEX
                The value tau.

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