--- rpl/lapack/lapack/dormhr.f 2010/04/21 13:45:22 1.2
+++ rpl/lapack/lapack/dormhr.f 2018/05/29 07:18:03 1.16
@@ -1,10 +1,187 @@
+*> \brief \b DORMHR
+*
+* =========== DOCUMENTATION ===========
+*
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
+*
+*> \htmlonly
+*> Download DORMHR + dependencies
+*>
+*> [TGZ]
+*>
+*> [ZIP]
+*>
+*> [TXT]
+*> \endhtmlonly
+*
+* Definition:
+* ===========
+*
+* SUBROUTINE DORMHR( SIDE, TRANS, M, N, ILO, IHI, A, LDA, TAU, C,
+* LDC, WORK, LWORK, INFO )
+*
+* .. Scalar Arguments ..
+* CHARACTER SIDE, TRANS
+* INTEGER IHI, ILO, INFO, LDA, LDC, LWORK, M, N
+* ..
+* .. Array Arguments ..
+* DOUBLE PRECISION A( LDA, * ), C( LDC, * ), TAU( * ), WORK( * )
+* ..
+*
+*
+*> \par Purpose:
+* =============
+*>
+*> \verbatim
+*>
+*> DORMHR overwrites the general real M-by-N matrix C with
+*>
+*> SIDE = 'L' SIDE = 'R'
+*> TRANS = 'N': Q * C C * Q
+*> TRANS = 'T': Q**T * C C * Q**T
+*>
+*> where Q is a real orthogonal matrix of order nq, with nq = m if
+*> SIDE = 'L' and nq = n if SIDE = 'R'. Q is defined as the product of
+*> IHI-ILO elementary reflectors, as returned by DGEHRD:
+*>
+*> Q = H(ilo) H(ilo+1) . . . H(ihi-1).
+*> \endverbatim
+*
+* Arguments:
+* ==========
+*
+*> \param[in] SIDE
+*> \verbatim
+*> SIDE is CHARACTER*1
+*> = 'L': apply Q or Q**T from the Left;
+*> = 'R': apply Q or Q**T from the Right.
+*> \endverbatim
+*>
+*> \param[in] TRANS
+*> \verbatim
+*> TRANS is CHARACTER*1
+*> = 'N': No transpose, apply Q;
+*> = 'T': Transpose, apply Q**T.
+*> \endverbatim
+*>
+*> \param[in] M
+*> \verbatim
+*> M is INTEGER
+*> The number of rows of the matrix C. M >= 0.
+*> \endverbatim
+*>
+*> \param[in] N
+*> \verbatim
+*> N is INTEGER
+*> The number of columns of the matrix C. N >= 0.
+*> \endverbatim
+*>
+*> \param[in] ILO
+*> \verbatim
+*> ILO is INTEGER
+*> \endverbatim
+*>
+*> \param[in] IHI
+*> \verbatim
+*> IHI is INTEGER
+*>
+*> ILO and IHI must have the same values as in the previous call
+*> of DGEHRD. Q is equal to the unit matrix except in the
+*> submatrix Q(ilo+1:ihi,ilo+1:ihi).
+*> If SIDE = 'L', then 1 <= ILO <= IHI <= M, if M > 0, and
+*> ILO = 1 and IHI = 0, if M = 0;
+*> if SIDE = 'R', then 1 <= ILO <= IHI <= N, if N > 0, and
+*> ILO = 1 and IHI = 0, if N = 0.
+*> \endverbatim
+*>
+*> \param[in] A
+*> \verbatim
+*> A is DOUBLE PRECISION array, dimension
+*> (LDA,M) if SIDE = 'L'
+*> (LDA,N) if SIDE = 'R'
+*> The vectors which define the elementary reflectors, as
+*> returned by DGEHRD.
+*> \endverbatim
+*>
+*> \param[in] LDA
+*> \verbatim
+*> LDA is INTEGER
+*> The leading dimension of the array A.
+*> LDA >= max(1,M) if SIDE = 'L'; LDA >= max(1,N) if SIDE = 'R'.
+*> \endverbatim
+*>
+*> \param[in] TAU
+*> \verbatim
+*> TAU is DOUBLE PRECISION array, dimension
+*> (M-1) if SIDE = 'L'
+*> (N-1) if SIDE = 'R'
+*> TAU(i) must contain the scalar factor of the elementary
+*> reflector H(i), as returned by DGEHRD.
+*> \endverbatim
+*>
+*> \param[in,out] C
+*> \verbatim
+*> C is DOUBLE PRECISION array, dimension (LDC,N)
+*> On entry, the M-by-N matrix C.
+*> On exit, C is overwritten by Q*C or Q**T*C or C*Q**T or C*Q.
+*> \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 DOUBLE PRECISION array, dimension (MAX(1,LWORK))
+*> On exit, if INFO = 0, WORK(1) returns the optimal LWORK.
+*> \endverbatim
+*>
+*> \param[in] LWORK
+*> \verbatim
+*> LWORK is INTEGER
+*> The dimension of the array WORK.
+*> If SIDE = 'L', LWORK >= max(1,N);
+*> if SIDE = 'R', LWORK >= max(1,M).
+*> For optimum performance LWORK >= N*NB if SIDE = 'L', and
+*> LWORK >= M*NB if SIDE = 'R', where NB is the optimal
+*> blocksize.
+*>
+*> If LWORK = -1, then a workspace query is assumed; the routine
+*> only calculates the optimal size of the WORK array, returns
+*> this value as the first entry of the WORK array, and no error
+*> message related to LWORK is issued by XERBLA.
+*> \endverbatim
+*>
+*> \param[out] INFO
+*> \verbatim
+*> INFO is INTEGER
+*> = 0: successful exit
+*> < 0: if INFO = -i, the i-th argument had an illegal value
+*> \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 DORMHR( SIDE, TRANS, M, N, ILO, IHI, A, LDA, TAU, C,
$ LDC, WORK, LWORK, INFO )
*
-* -- 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, TRANS
@@ -14,91 +191,6 @@
DOUBLE PRECISION A( LDA, * ), C( LDC, * ), TAU( * ), WORK( * )
* ..
*
-* Purpose
-* =======
-*
-* DORMHR overwrites the general real M-by-N matrix C with
-*
-* SIDE = 'L' SIDE = 'R'
-* TRANS = 'N': Q * C C * Q
-* TRANS = 'T': Q**T * C C * Q**T
-*
-* where Q is a real orthogonal matrix of order nq, with nq = m if
-* SIDE = 'L' and nq = n if SIDE = 'R'. Q is defined as the product of
-* IHI-ILO elementary reflectors, as returned by DGEHRD:
-*
-* Q = H(ilo) H(ilo+1) . . . H(ihi-1).
-*
-* Arguments
-* =========
-*
-* SIDE (input) CHARACTER*1
-* = 'L': apply Q or Q**T from the Left;
-* = 'R': apply Q or Q**T from the Right.
-*
-* TRANS (input) CHARACTER*1
-* = 'N': No transpose, apply Q;
-* = 'T': Transpose, apply Q**T.
-*
-* M (input) INTEGER
-* The number of rows of the matrix C. M >= 0.
-*
-* N (input) INTEGER
-* The number of columns of the matrix C. N >= 0.
-*
-* ILO (input) INTEGER
-* IHI (input) INTEGER
-* ILO and IHI must have the same values as in the previous call
-* of DGEHRD. Q is equal to the unit matrix except in the
-* submatrix Q(ilo+1:ihi,ilo+1:ihi).
-* If SIDE = 'L', then 1 <= ILO <= IHI <= M, if M > 0, and
-* ILO = 1 and IHI = 0, if M = 0;
-* if SIDE = 'R', then 1 <= ILO <= IHI <= N, if N > 0, and
-* ILO = 1 and IHI = 0, if N = 0.
-*
-* A (input) DOUBLE PRECISION array, dimension
-* (LDA,M) if SIDE = 'L'
-* (LDA,N) if SIDE = 'R'
-* The vectors which define the elementary reflectors, as
-* returned by DGEHRD.
-*
-* LDA (input) INTEGER
-* The leading dimension of the array A.
-* LDA >= max(1,M) if SIDE = 'L'; LDA >= max(1,N) if SIDE = 'R'.
-*
-* TAU (input) DOUBLE PRECISION array, dimension
-* (M-1) if SIDE = 'L'
-* (N-1) if SIDE = 'R'
-* TAU(i) must contain the scalar factor of the elementary
-* reflector H(i), as returned by DGEHRD.
-*
-* C (input/output) DOUBLE PRECISION array, dimension (LDC,N)
-* On entry, the M-by-N matrix C.
-* On exit, C is overwritten by Q*C or Q**T*C or C*Q**T or C*Q.
-*
-* LDC (input) INTEGER
-* The leading dimension of the array C. LDC >= max(1,M).
-*
-* WORK (workspace/output) DOUBLE PRECISION array, dimension (MAX(1,LWORK))
-* On exit, if INFO = 0, WORK(1) returns the optimal LWORK.
-*
-* LWORK (input) INTEGER
-* The dimension of the array WORK.
-* If SIDE = 'L', LWORK >= max(1,N);
-* if SIDE = 'R', LWORK >= max(1,M).
-* For optimum performance LWORK >= N*NB if SIDE = 'L', and
-* LWORK >= M*NB if SIDE = 'R', where NB is the optimal
-* blocksize.
-*
-* If LWORK = -1, then a workspace query is assumed; the routine
-* only calculates the optimal size of the WORK array, returns
-* this value as the first entry of the WORK array, and no error
-* message related to LWORK is issued by XERBLA.
-*
-* INFO (output) INTEGER
-* = 0: successful exit
-* < 0: if INFO = -i, the i-th argument had an illegal value
-*
* =====================================================================
*
* .. Local Scalars ..