--- rpl/lapack/lapack/dlatzm.f 2010/08/06 15:32:31 1.4
+++ rpl/lapack/lapack/dlatzm.f 2017/06/17 11:06:28 1.16
@@ -1,9 +1,160 @@
+*> \brief \b DLATZM
+*
+* =========== DOCUMENTATION ===========
+*
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
+*
+*> \htmlonly
+*> Download DLATZM + dependencies
+*>
+*> [TGZ]
+*>
+*> [ZIP]
+*>
+*> [TXT]
+*> \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 This routine is deprecated and has been replaced by routine DORMRZ.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 December 2016
+*
+*> \ingroup doubleOTHERcomputational
+*
+* =====================================================================
SUBROUTINE DLATZM( SIDE, M, N, V, INCV, TAU, C1, C2, LDC, WORK )
*
-* -- LAPACK routine (version 3.2) --
+* -- LAPACK computational routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* November 2006
+* December 2016
*
* .. 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 )