--- rpl/lapack/lapack/zlarfgp.f 2011/07/22 07:38:17 1.5 +++ rpl/lapack/lapack/zlarfgp.f 2011/11/21 20:43:17 1.6 @@ -1,9 +1,113 @@ +*> \brief \b ZLARFGP +* +* =========== DOCUMENTATION =========== +* +* Online html documentation available at +* http://www.netlib.org/lapack/explore-html/ +* +*> \htmlonly +*> Download ZLARFGP + dependencies +*> +*> [TGZ] +*> +*> [ZIP] +*> +*> [TXT] +*> \endhtmlonly +* +* Definition: +* =========== +* +* SUBROUTINE ZLARFGP( N, ALPHA, X, INCX, TAU ) +* +* .. Scalar Arguments .. +* INTEGER INCX, N +* COMPLEX*16 ALPHA, TAU +* .. +* .. Array Arguments .. +* COMPLEX*16 X( * ) +* .. +* +* +*> \par Purpose: +* ============= +*> +*> \verbatim +*> +*> ZLARFGP generates a complex elementary reflector H of order n, such +*> that +*> +*> H**H * ( alpha ) = ( beta ), H**H * H = I. +*> ( 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. +*> \endverbatim +* +* Arguments: +* ========== +* +*> \param[in] N +*> \verbatim +*> N is INTEGER +*> The order of the elementary reflector. +*> \endverbatim +*> +*> \param[in,out] ALPHA +*> \verbatim +*> ALPHA is COMPLEX*16 +*> On entry, the value alpha. +*> On exit, it is overwritten with the value beta. +*> \endverbatim +*> +*> \param[in,out] X +*> \verbatim +*> X is COMPLEX*16 array, dimension +*> (1+(N-2)*abs(INCX)) +*> On entry, the vector x. +*> On exit, it is overwritten with the vector v. +*> \endverbatim +*> +*> \param[in] INCX +*> \verbatim +*> INCX is INTEGER +*> The increment between elements of X. INCX > 0. +*> \endverbatim +*> +*> \param[out] TAU +*> \verbatim +*> TAU is COMPLEX*16 +*> The value tau. +*> \endverbatim +* +* Authors: +* ======== +* +*> \author Univ. of Tennessee +*> \author Univ. of California Berkeley +*> \author Univ. of Colorado Denver +*> \author NAG Ltd. +* +*> \date November 2011 +* +*> \ingroup complex16OTHERauxiliary +* +* ===================================================================== SUBROUTINE ZLARFGP( N, ALPHA, X, INCX, TAU ) * -* -- LAPACK auxiliary routine (version 3.3.1) -- +* -- LAPACK auxiliary routine (version 3.4.0) -- * -- LAPACK is a software package provided by Univ. of Tennessee, -- * -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- -* -- April 2011 -- +* November 2011 * * .. Scalar Arguments .. INTEGER INCX, N @@ -13,48 +117,6 @@ COMPLEX*16 X( * ) * .. * -* Purpose -* ======= -* -* ZLARFGP generates a complex elementary reflector H of order n, such -* that -* -* H**H * ( alpha ) = ( beta ), H**H * H = I. -* ( 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*16 -* On entry, the value alpha. -* On exit, it is overwritten with the value beta. -* -* X (input/output) COMPLEX*16 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*16 -* The value tau. -* * ===================================================================== * * .. Parameters ..