--- rpl/lapack/lapack/zlarz.f 2011/07/22 07:38:18 1.8 +++ rpl/lapack/lapack/zlarz.f 2011/11/21 20:43:17 1.9 @@ -1,9 +1,156 @@ +*> \brief \b ZLARZ +* +* =========== DOCUMENTATION =========== +* +* Online html documentation available at +* http://www.netlib.org/lapack/explore-html/ +* +*> \htmlonly +*> Download ZLARZ + dependencies +*> +*> [TGZ] +*> +*> [ZIP] +*> +*> [TXT] +*> \endhtmlonly +* +* Definition: +* =========== +* +* SUBROUTINE ZLARZ( SIDE, M, N, L, V, INCV, TAU, C, LDC, WORK ) +* +* .. Scalar Arguments .. +* CHARACTER SIDE +* INTEGER INCV, L, LDC, M, N +* COMPLEX*16 TAU +* .. +* .. Array Arguments .. +* COMPLEX*16 C( LDC, * ), V( * ), WORK( * ) +* .. +* +* +*> \par Purpose: +* ============= +*> +*> \verbatim +*> +*> ZLARZ applies a complex elementary reflector H to a complex +*> M-by-N matrix C, from either the left or the right. H is represented +*> in the form +*> +*> H = I - tau * v * v**H +*> +*> where tau is a complex scalar and v is a complex vector. +*> +*> If tau = 0, then H is taken to be the unit matrix. +*> +*> To apply H**H (the conjugate transpose of H), supply conjg(tau) instead +*> tau. +*> +*> H is a product of k elementary reflectors as returned by ZTZRZF. +*> \endverbatim +* +* Arguments: +* ========== +* +*> \param[in] SIDE +*> \verbatim +*> SIDE is CHARACTER*1 +*> = 'L': form H * C +*> = 'R': form C * H +*> \endverbatim +*> +*> \param[in] M +*> \verbatim +*> M is INTEGER +*> The number of rows of the matrix C. +*> \endverbatim +*> +*> \param[in] N +*> \verbatim +*> N is INTEGER +*> The number of columns of the matrix C. +*> \endverbatim +*> +*> \param[in] L +*> \verbatim +*> L is INTEGER +*> The number of entries of the vector V containing +*> the meaningful part of the Householder vectors. +*> If SIDE = 'L', M >= L >= 0, if SIDE = 'R', N >= L >= 0. +*> \endverbatim +*> +*> \param[in] V +*> \verbatim +*> V is COMPLEX*16 array, dimension (1+(L-1)*abs(INCV)) +*> The vector v in the representation of H as returned by +*> ZTZRZF. V is not used if TAU = 0. +*> \endverbatim +*> +*> \param[in] INCV +*> \verbatim +*> INCV is INTEGER +*> The increment between elements of v. INCV <> 0. +*> \endverbatim +*> +*> \param[in] TAU +*> \verbatim +*> TAU is COMPLEX*16 +*> The value tau in the representation of H. +*> \endverbatim +*> +*> \param[in,out] C +*> \verbatim +*> C is COMPLEX*16 array, dimension (LDC,N) +*> On entry, the M-by-N matrix C. +*> On exit, C is overwritten by the matrix H * C if SIDE = 'L', +*> or C * H if SIDE = 'R'. +*> \endverbatim +*> +*> \param[in] LDC +*> \verbatim +*> LDC is INTEGER +*> The leading dimension of the array C. LDC >= max(1,M). +*> \endverbatim +*> +*> \param[out] WORK +*> \verbatim +*> WORK is COMPLEX*16 array, dimension +*> (N) if SIDE = 'L' +*> or (M) if SIDE = 'R' +*> \endverbatim +* +* Authors: +* ======== +* +*> \author Univ. of Tennessee +*> \author Univ. of California Berkeley +*> \author Univ. of Colorado Denver +*> \author NAG Ltd. +* +*> \date November 2011 +* +*> \ingroup complex16OTHERcomputational +* +*> \par Contributors: +* ================== +*> +*> A. Petitet, Computer Science Dept., Univ. of Tenn., Knoxville, USA +* +*> \par Further Details: +* ===================== +*> +*> \verbatim +*> \endverbatim +*> +* ===================================================================== SUBROUTINE ZLARZ( SIDE, M, N, L, V, INCV, TAU, C, LDC, WORK ) * -* -- LAPACK routine (version 3.3.1) -- +* -- LAPACK computational 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 .. CHARACTER SIDE @@ -14,70 +161,6 @@ COMPLEX*16 C( LDC, * ), V( * ), WORK( * ) * .. * -* Purpose -* ======= -* -* ZLARZ applies a complex elementary reflector H to a complex -* M-by-N matrix C, from either the left or the right. H is represented -* in the form -* -* H = I - tau * v * v**H -* -* where tau is a complex scalar and v is a complex vector. -* -* If tau = 0, then H is taken to be the unit matrix. -* -* To apply H**H (the conjugate transpose of H), supply conjg(tau) instead -* tau. -* -* H is a product of k elementary reflectors as returned by ZTZRZF. -* -* Arguments -* ========= -* -* SIDE (input) CHARACTER*1 -* = 'L': form H * C -* = 'R': form C * H -* -* M (input) INTEGER -* The number of rows of the matrix C. -* -* N (input) INTEGER -* The number of columns of the matrix C. -* -* L (input) INTEGER -* The number of entries of the vector V containing -* the meaningful part of the Householder vectors. -* If SIDE = 'L', M >= L >= 0, if SIDE = 'R', N >= L >= 0. -* -* V (input) COMPLEX*16 array, dimension (1+(L-1)*abs(INCV)) -* The vector v in the representation of H as returned by -* ZTZRZF. V is not used if TAU = 0. -* -* INCV (input) INTEGER -* The increment between elements of v. INCV <> 0. -* -* TAU (input) COMPLEX*16 -* The value tau in the representation of H. -* -* C (input/output) COMPLEX*16 array, dimension (LDC,N) -* On entry, the M-by-N matrix C. -* On exit, C is overwritten by the matrix H * C if SIDE = 'L', -* or C * H if SIDE = 'R'. -* -* LDC (input) INTEGER -* The leading dimension of the array C. LDC >= max(1,M). -* -* WORK (workspace) COMPLEX*16 array, dimension -* (N) if SIDE = 'L' -* or (M) if SIDE = 'R' -* -* Further Details -* =============== -* -* Based on contributions by -* A. Petitet, Computer Science Dept., Univ. of Tenn., Knoxville, USA -* * ===================================================================== * * .. Parameters ..