--- rpl/lapack/lapack/dlatzm.f	2010/12/21 13:53:34	1.7
+++ rpl/lapack/lapack/dlatzm.f	2014/01/27 09:28:23	1.13
@@ -1,9 +1,160 @@
+*> \brief \b DLATZM
+*
+*  =========== DOCUMENTATION ===========
+*
+* Online html documentation available at 
+*            http://www.netlib.org/lapack/explore-html/ 
+*
+*> \htmlonly
+*> Download DLATZM + dependencies 
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlatzm.f"> 
+*> [TGZ]</a> 
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlatzm.f"> 
+*> [ZIP]</a> 
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlatzm.f"> 
+*> [TXT]</a>
+*> \endhtmlonly 
+*
+*  Definition:
+*  ===========
+*
+*       SUBROUTINE DLATZM( SIDE, M, N, V, INCV, TAU, C1, C2, LDC, WORK )
+* 
+*       .. Scalar Arguments ..
+*       CHARACTER          SIDE
+*       INTEGER            INCV, LDC, M, N
+*       DOUBLE PRECISION   TAU
+*       ..
+*       .. Array Arguments ..
+*       DOUBLE PRECISION   C1( LDC, * ), C2( LDC, * ), V( * ), WORK( * )
+*       ..
+*  
+*
+*> \par Purpose:
+*  =============
+*>
+*> \verbatim
+*>
+*> This routine is deprecated and has been replaced by routine DORMRZ.
+*>
+*> DLATZM applies a Householder matrix generated by DTZRQF to a matrix.
+*>
+*> Let P = I - tau*u*u**T,   u = ( 1 ),
+*>                               ( v )
+*> where v is an (m-1) vector if SIDE = 'L', or a (n-1) vector if
+*> SIDE = 'R'.
+*>
+*> If SIDE equals 'L', let
+*>        C = [ C1 ] 1
+*>            [ C2 ] m-1
+*>              n
+*> Then C is overwritten by P*C.
+*>
+*> If SIDE equals 'R', let
+*>        C = [ C1, C2 ] m
+*>               1  n-1
+*> Then C is overwritten by C*P.
+*> \endverbatim
+*
+*  Arguments:
+*  ==========
+*
+*> \param[in] SIDE
+*> \verbatim
+*>          SIDE is CHARACTER*1
+*>          = 'L': form P * C
+*>          = 'R': form C * P
+*> \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] V
+*> \verbatim
+*>          V is DOUBLE PRECISION array, dimension
+*>                  (1 + (M-1)*abs(INCV)) if SIDE = 'L'
+*>                  (1 + (N-1)*abs(INCV)) if SIDE = 'R'
+*>          The vector v in the representation of P. 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 DOUBLE PRECISION
+*>          The value tau in the representation of P.
+*> \endverbatim
+*>
+*> \param[in,out] C1
+*> \verbatim
+*>          C1 is DOUBLE PRECISION array, dimension
+*>                         (LDC,N) if SIDE = 'L'
+*>                         (M,1)   if SIDE = 'R'
+*>          On entry, the n-vector C1 if SIDE = 'L', or the m-vector C1
+*>          if SIDE = 'R'.
+*>
+*>          On exit, the first row of P*C if SIDE = 'L', or the first
+*>          column of C*P if SIDE = 'R'.
+*> \endverbatim
+*>
+*> \param[in,out] C2
+*> \verbatim
+*>          C2 is DOUBLE PRECISION array, dimension
+*>                         (LDC, N)   if SIDE = 'L'
+*>                         (LDC, N-1) if SIDE = 'R'
+*>          On entry, the (m - 1) x n matrix C2 if SIDE = 'L', or the
+*>          m x (n - 1) matrix C2 if SIDE = 'R'.
+*>
+*>          On exit, rows 2:m of P*C if SIDE = 'L', or columns 2:m of C*P
+*>          if SIDE = 'R'.
+*> \endverbatim
+*>
+*> \param[in] LDC
+*> \verbatim
+*>          LDC is INTEGER
+*>          The leading dimension of the arrays C1 and C2. LDC >= (1,M).
+*> \endverbatim
+*>
+*> \param[out] WORK
+*> \verbatim
+*>          WORK is DOUBLE PRECISION array, dimension
+*>                      (N) if SIDE = 'L'
+*>                      (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 doubleOTHERcomputational
+*
+*  =====================================================================
       SUBROUTINE DLATZM( SIDE, M, N, V, INCV, TAU, C1, C2, LDC, WORK )
 *
-*  -- LAPACK routine (version 3.2) --
+*  -- 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..--
-*     November 2006
+*     November 2011
 *
 *     .. Scalar Arguments ..
       CHARACTER          SIDE
@@ -14,79 +165,6 @@
       DOUBLE PRECISION   C1( LDC, * ), C2( LDC, * ), V( * ), WORK( * )
 *     ..
 *
-*  Purpose
-*  =======
-*
-*  This routine is deprecated and has been replaced by routine DORMRZ.
-*
-*  DLATZM applies a Householder matrix generated by DTZRQF to a matrix.
-*
-*  Let P = I - tau*u*u',   u = ( 1 ),
-*                              ( v )
-*  where v is an (m-1) vector if SIDE = 'L', or a (n-1) vector if
-*  SIDE = 'R'.
-*
-*  If SIDE equals 'L', let
-*         C = [ C1 ] 1
-*             [ C2 ] m-1
-*               n
-*  Then C is overwritten by P*C.
-*
-*  If SIDE equals 'R', let
-*         C = [ C1, C2 ] m
-*                1  n-1
-*  Then C is overwritten by C*P.
-*
-*  Arguments
-*  =========
-*
-*  SIDE    (input) CHARACTER*1
-*          = 'L': form P * C
-*          = 'R': form C * P
-*
-*  M       (input) INTEGER
-*          The number of rows of the matrix C.
-*
-*  N       (input) INTEGER
-*          The number of columns of the matrix C.
-*
-*  V       (input) DOUBLE PRECISION array, dimension
-*                  (1 + (M-1)*abs(INCV)) if SIDE = 'L'
-*                  (1 + (N-1)*abs(INCV)) if SIDE = 'R'
-*          The vector v in the representation of P. V is not used
-*          if TAU = 0.
-*
-*  INCV    (input) INTEGER
-*          The increment between elements of v. INCV <> 0
-*
-*  TAU     (input) DOUBLE PRECISION
-*          The value tau in the representation of P.
-*
-*  C1      (input/output) DOUBLE PRECISION array, dimension
-*                         (LDC,N) if SIDE = 'L'
-*                         (M,1)   if SIDE = 'R'
-*          On entry, the n-vector C1 if SIDE = 'L', or the m-vector C1
-*          if SIDE = 'R'.
-*
-*          On exit, the first row of P*C if SIDE = 'L', or the first
-*          column of C*P if SIDE = 'R'.
-*
-*  C2      (input/output) DOUBLE PRECISION array, dimension
-*                         (LDC, N)   if SIDE = 'L'
-*                         (LDC, N-1) if SIDE = 'R'
-*          On entry, the (m - 1) x n matrix C2 if SIDE = 'L', or the
-*          m x (n - 1) matrix C2 if SIDE = 'R'.
-*
-*          On exit, rows 2:m of P*C if SIDE = 'L', or columns 2:m of C*P
-*          if SIDE = 'R'.
-*
-*  LDC     (input) INTEGER
-*          The leading dimension of the arrays C1 and C2. LDC >= (1,M).
-*
-*  WORK    (workspace) DOUBLE PRECISION array, dimension
-*                      (N) if SIDE = 'L'
-*                      (M) if SIDE = 'R'
-*
 *  =====================================================================
 *
 *     .. Parameters ..
@@ -110,13 +188,13 @@
 *
       IF( LSAME( SIDE, 'L' ) ) THEN
 *
-*        w := C1 + v' * C2
+*        w :=  (C1 + v**T * C2)**T
 *
          CALL DCOPY( N, C1, LDC, WORK, 1 )
          CALL DGEMV( 'Transpose', M-1, N, ONE, C2, LDC, V, INCV, ONE,
      $               WORK, 1 )
 *
-*        [ C1 ] := [ C1 ] - tau* [ 1 ] * w'
+*        [ C1 ] := [ C1 ] - tau* [ 1 ] * w**T
 *        [ C2 ]    [ C2 ]        [ v ]
 *
          CALL DAXPY( N, -TAU, WORK, 1, C1, LDC )
@@ -130,7 +208,7 @@
          CALL DGEMV( 'No transpose', M, N-1, ONE, C2, LDC, V, INCV, ONE,
      $               WORK, 1 )
 *
-*        [ C1, C2 ] := [ C1, C2 ] - tau* w * [ 1 , v']
+*        [ C1, C2 ] := [ C1, C2 ] - tau* w * [ 1 , v**T]
 *
          CALL DAXPY( M, -TAU, WORK, 1, C1, 1 )
          CALL DGER( M, N-1, -TAU, WORK, 1, V, INCV, C2, LDC )