Squashed 'third_party/eigen/' content from commit 61d72f6
Change-Id: Iccc90fa0b55ab44037f018046d2fcffd90d9d025
git-subtree-dir: third_party/eigen
git-subtree-split: 61d72f6383cfa842868c53e30e087b0258177257
diff --git a/lapack/slarfb.f b/lapack/slarfb.f
new file mode 100644
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--- /dev/null
+++ b/lapack/slarfb.f
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+*> \brief \b SLARFB
+*
+* =========== DOCUMENTATION ===========
+*
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
+*
+*> \htmlonly
+*> Download SLARFB + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/slarfb.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/slarfb.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/slarfb.f">
+*> [TXT]</a>
+*> \endhtmlonly
+*
+* Definition:
+* ===========
+*
+* SUBROUTINE SLARFB( SIDE, TRANS, DIRECT, STOREV, M, N, K, V, LDV,
+* T, LDT, C, LDC, WORK, LDWORK )
+*
+* .. Scalar Arguments ..
+* CHARACTER DIRECT, SIDE, STOREV, TRANS
+* INTEGER K, LDC, LDT, LDV, LDWORK, M, N
+* ..
+* .. Array Arguments ..
+* REAL C( LDC, * ), T( LDT, * ), V( LDV, * ),
+* $ WORK( LDWORK, * )
+* ..
+*
+*
+*> \par Purpose:
+* =============
+*>
+*> \verbatim
+*>
+*> SLARFB applies a real block reflector H or its transpose H**T to a
+*> real m by n matrix C, from either the left or the right.
+*> \endverbatim
+*
+* Arguments:
+* ==========
+*
+*> \param[in] SIDE
+*> \verbatim
+*> SIDE is CHARACTER*1
+*> = 'L': apply H or H**T from the Left
+*> = 'R': apply H or H**T from the Right
+*> \endverbatim
+*>
+*> \param[in] TRANS
+*> \verbatim
+*> TRANS is CHARACTER*1
+*> = 'N': apply H (No transpose)
+*> = 'T': apply H**T (Transpose)
+*> \endverbatim
+*>
+*> \param[in] DIRECT
+*> \verbatim
+*> DIRECT is CHARACTER*1
+*> Indicates how H is formed from a product of elementary
+*> reflectors
+*> = 'F': H = H(1) H(2) . . . H(k) (Forward)
+*> = 'B': H = H(k) . . . H(2) H(1) (Backward)
+*> \endverbatim
+*>
+*> \param[in] STOREV
+*> \verbatim
+*> STOREV is CHARACTER*1
+*> Indicates how the vectors which define the elementary
+*> reflectors are stored:
+*> = 'C': Columnwise
+*> = 'R': Rowwise
+*> \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] K
+*> \verbatim
+*> K is INTEGER
+*> The order of the matrix T (= the number of elementary
+*> reflectors whose product defines the block reflector).
+*> \endverbatim
+*>
+*> \param[in] V
+*> \verbatim
+*> V is REAL array, dimension
+*> (LDV,K) if STOREV = 'C'
+*> (LDV,M) if STOREV = 'R' and SIDE = 'L'
+*> (LDV,N) if STOREV = 'R' and SIDE = 'R'
+*> The matrix V. See Further Details.
+*> \endverbatim
+*>
+*> \param[in] LDV
+*> \verbatim
+*> LDV is INTEGER
+*> The leading dimension of the array V.
+*> If STOREV = 'C' and SIDE = 'L', LDV >= max(1,M);
+*> if STOREV = 'C' and SIDE = 'R', LDV >= max(1,N);
+*> if STOREV = 'R', LDV >= K.
+*> \endverbatim
+*>
+*> \param[in] T
+*> \verbatim
+*> T is REAL array, dimension (LDT,K)
+*> The triangular k by k matrix T in the representation of the
+*> block reflector.
+*> \endverbatim
+*>
+*> \param[in] LDT
+*> \verbatim
+*> LDT is INTEGER
+*> The leading dimension of the array T. LDT >= K.
+*> \endverbatim
+*>
+*> \param[in,out] C
+*> \verbatim
+*> C is REAL array, dimension (LDC,N)
+*> On entry, the m by n matrix C.
+*> On exit, C is overwritten by H*C or H**T*C or C*H or C*H**T.
+*> \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 REAL array, dimension (LDWORK,K)
+*> \endverbatim
+*>
+*> \param[in] LDWORK
+*> \verbatim
+*> LDWORK is INTEGER
+*> The leading dimension of the array WORK.
+*> If SIDE = 'L', LDWORK >= max(1,N);
+*> if SIDE = 'R', LDWORK >= max(1,M).
+*> \endverbatim
+*
+* Authors:
+* ========
+*
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
+*
+*> \date November 2011
+*
+*> \ingroup realOTHERauxiliary
+*
+*> \par Further Details:
+* =====================
+*>
+*> \verbatim
+*>
+*> The shape of the matrix V and the storage of the vectors which define
+*> the H(i) is best illustrated by the following example with n = 5 and
+*> k = 3. The elements equal to 1 are not stored; the corresponding
+*> array elements are modified but restored on exit. The rest of the
+*> array is not used.
+*>
+*> DIRECT = 'F' and STOREV = 'C': DIRECT = 'F' and STOREV = 'R':
+*>
+*> V = ( 1 ) V = ( 1 v1 v1 v1 v1 )
+*> ( v1 1 ) ( 1 v2 v2 v2 )
+*> ( v1 v2 1 ) ( 1 v3 v3 )
+*> ( v1 v2 v3 )
+*> ( v1 v2 v3 )
+*>
+*> DIRECT = 'B' and STOREV = 'C': DIRECT = 'B' and STOREV = 'R':
+*>
+*> V = ( v1 v2 v3 ) V = ( v1 v1 1 )
+*> ( v1 v2 v3 ) ( v2 v2 v2 1 )
+*> ( 1 v2 v3 ) ( v3 v3 v3 v3 1 )
+*> ( 1 v3 )
+*> ( 1 )
+*> \endverbatim
+*>
+* =====================================================================
+ SUBROUTINE SLARFB( SIDE, TRANS, DIRECT, STOREV, M, N, K, V, LDV,
+ $ T, LDT, C, LDC, WORK, LDWORK )
+*
+* -- 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..--
+* November 2011
+*
+* .. Scalar Arguments ..
+ CHARACTER DIRECT, SIDE, STOREV, TRANS
+ INTEGER K, LDC, LDT, LDV, LDWORK, M, N
+* ..
+* .. Array Arguments ..
+ REAL C( LDC, * ), T( LDT, * ), V( LDV, * ),
+ $ WORK( LDWORK, * )
+* ..
+*
+* =====================================================================
+*
+* .. Parameters ..
+ REAL ONE
+ PARAMETER ( ONE = 1.0E+0 )
+* ..
+* .. Local Scalars ..
+ CHARACTER TRANST
+ INTEGER I, J, LASTV, LASTC
+* ..
+* .. External Functions ..
+ LOGICAL LSAME
+ INTEGER ILASLR, ILASLC
+ EXTERNAL LSAME, ILASLR, ILASLC
+* ..
+* .. External Subroutines ..
+ EXTERNAL SCOPY, SGEMM, STRMM
+* ..
+* .. Executable Statements ..
+*
+* Quick return if possible
+*
+ IF( M.LE.0 .OR. N.LE.0 )
+ $ RETURN
+*
+ IF( LSAME( TRANS, 'N' ) ) THEN
+ TRANST = 'T'
+ ELSE
+ TRANST = 'N'
+ END IF
+*
+ IF( LSAME( STOREV, 'C' ) ) THEN
+*
+ IF( LSAME( DIRECT, 'F' ) ) THEN
+*
+* Let V = ( V1 ) (first K rows)
+* ( V2 )
+* where V1 is unit lower triangular.
+*
+ IF( LSAME( SIDE, 'L' ) ) THEN
+*
+* Form H * C or H**T * C where C = ( C1 )
+* ( C2 )
+*
+ LASTV = MAX( K, ILASLR( M, K, V, LDV ) )
+ LASTC = ILASLC( LASTV, N, C, LDC )
+*
+* W := C**T * V = (C1**T * V1 + C2**T * V2) (stored in WORK)
+*
+* W := C1**T
+*
+ DO 10 J = 1, K
+ CALL SCOPY( LASTC, C( J, 1 ), LDC, WORK( 1, J ), 1 )
+ 10 CONTINUE
+*
+* W := W * V1
+*
+ CALL STRMM( 'Right', 'Lower', 'No transpose', 'Unit',
+ $ LASTC, K, ONE, V, LDV, WORK, LDWORK )
+ IF( LASTV.GT.K ) THEN
+*
+* W := W + C2**T *V2
+*
+ CALL SGEMM( 'Transpose', 'No transpose',
+ $ LASTC, K, LASTV-K,
+ $ ONE, C( K+1, 1 ), LDC, V( K+1, 1 ), LDV,
+ $ ONE, WORK, LDWORK )
+ END IF
+*
+* W := W * T**T or W * T
+*
+ CALL STRMM( 'Right', 'Upper', TRANST, 'Non-unit',
+ $ LASTC, K, ONE, T, LDT, WORK, LDWORK )
+*
+* C := C - V * W**T
+*
+ IF( LASTV.GT.K ) THEN
+*
+* C2 := C2 - V2 * W**T
+*
+ CALL SGEMM( 'No transpose', 'Transpose',
+ $ LASTV-K, LASTC, K,
+ $ -ONE, V( K+1, 1 ), LDV, WORK, LDWORK, ONE,
+ $ C( K+1, 1 ), LDC )
+ END IF
+*
+* W := W * V1**T
+*
+ CALL STRMM( 'Right', 'Lower', 'Transpose', 'Unit',
+ $ LASTC, K, ONE, V, LDV, WORK, LDWORK )
+*
+* C1 := C1 - W**T
+*
+ DO 30 J = 1, K
+ DO 20 I = 1, LASTC
+ C( J, I ) = C( J, I ) - WORK( I, J )
+ 20 CONTINUE
+ 30 CONTINUE
+*
+ ELSE IF( LSAME( SIDE, 'R' ) ) THEN
+*
+* Form C * H or C * H**T where C = ( C1 C2 )
+*
+ LASTV = MAX( K, ILASLR( N, K, V, LDV ) )
+ LASTC = ILASLR( M, LASTV, C, LDC )
+*
+* W := C * V = (C1*V1 + C2*V2) (stored in WORK)
+*
+* W := C1
+*
+ DO 40 J = 1, K
+ CALL SCOPY( LASTC, C( 1, J ), 1, WORK( 1, J ), 1 )
+ 40 CONTINUE
+*
+* W := W * V1
+*
+ CALL STRMM( 'Right', 'Lower', 'No transpose', 'Unit',
+ $ LASTC, K, ONE, V, LDV, WORK, LDWORK )
+ IF( LASTV.GT.K ) THEN
+*
+* W := W + C2 * V2
+*
+ CALL SGEMM( 'No transpose', 'No transpose',
+ $ LASTC, K, LASTV-K,
+ $ ONE, C( 1, K+1 ), LDC, V( K+1, 1 ), LDV,
+ $ ONE, WORK, LDWORK )
+ END IF
+*
+* W := W * T or W * T**T
+*
+ CALL STRMM( 'Right', 'Upper', TRANS, 'Non-unit',
+ $ LASTC, K, ONE, T, LDT, WORK, LDWORK )
+*
+* C := C - W * V**T
+*
+ IF( LASTV.GT.K ) THEN
+*
+* C2 := C2 - W * V2**T
+*
+ CALL SGEMM( 'No transpose', 'Transpose',
+ $ LASTC, LASTV-K, K,
+ $ -ONE, WORK, LDWORK, V( K+1, 1 ), LDV, ONE,
+ $ C( 1, K+1 ), LDC )
+ END IF
+*
+* W := W * V1**T
+*
+ CALL STRMM( 'Right', 'Lower', 'Transpose', 'Unit',
+ $ LASTC, K, ONE, V, LDV, WORK, LDWORK )
+*
+* C1 := C1 - W
+*
+ DO 60 J = 1, K
+ DO 50 I = 1, LASTC
+ C( I, J ) = C( I, J ) - WORK( I, J )
+ 50 CONTINUE
+ 60 CONTINUE
+ END IF
+*
+ ELSE
+*
+* Let V = ( V1 )
+* ( V2 ) (last K rows)
+* where V2 is unit upper triangular.
+*
+ IF( LSAME( SIDE, 'L' ) ) THEN
+*
+* Form H * C or H**T * C where C = ( C1 )
+* ( C2 )
+*
+ LASTV = MAX( K, ILASLR( M, K, V, LDV ) )
+ LASTC = ILASLC( LASTV, N, C, LDC )
+*
+* W := C**T * V = (C1**T * V1 + C2**T * V2) (stored in WORK)
+*
+* W := C2**T
+*
+ DO 70 J = 1, K
+ CALL SCOPY( LASTC, C( LASTV-K+J, 1 ), LDC,
+ $ WORK( 1, J ), 1 )
+ 70 CONTINUE
+*
+* W := W * V2
+*
+ CALL STRMM( 'Right', 'Upper', 'No transpose', 'Unit',
+ $ LASTC, K, ONE, V( LASTV-K+1, 1 ), LDV,
+ $ WORK, LDWORK )
+ IF( LASTV.GT.K ) THEN
+*
+* W := W + C1**T*V1
+*
+ CALL SGEMM( 'Transpose', 'No transpose',
+ $ LASTC, K, LASTV-K, ONE, C, LDC, V, LDV,
+ $ ONE, WORK, LDWORK )
+ END IF
+*
+* W := W * T**T or W * T
+*
+ CALL STRMM( 'Right', 'Lower', TRANST, 'Non-unit',
+ $ LASTC, K, ONE, T, LDT, WORK, LDWORK )
+*
+* C := C - V * W**T
+*
+ IF( LASTV.GT.K ) THEN
+*
+* C1 := C1 - V1 * W**T
+*
+ CALL SGEMM( 'No transpose', 'Transpose',
+ $ LASTV-K, LASTC, K, -ONE, V, LDV, WORK, LDWORK,
+ $ ONE, C, LDC )
+ END IF
+*
+* W := W * V2**T
+*
+ CALL STRMM( 'Right', 'Upper', 'Transpose', 'Unit',
+ $ LASTC, K, ONE, V( LASTV-K+1, 1 ), LDV,
+ $ WORK, LDWORK )
+*
+* C2 := C2 - W**T
+*
+ DO 90 J = 1, K
+ DO 80 I = 1, LASTC
+ C( LASTV-K+J, I ) = C( LASTV-K+J, I ) - WORK(I, J)
+ 80 CONTINUE
+ 90 CONTINUE
+*
+ ELSE IF( LSAME( SIDE, 'R' ) ) THEN
+*
+* Form C * H or C * H**T where C = ( C1 C2 )
+*
+ LASTV = MAX( K, ILASLR( N, K, V, LDV ) )
+ LASTC = ILASLR( M, LASTV, C, LDC )
+*
+* W := C * V = (C1*V1 + C2*V2) (stored in WORK)
+*
+* W := C2
+*
+ DO 100 J = 1, K
+ CALL SCOPY( LASTC, C( 1, N-K+J ), 1, WORK( 1, J ), 1 )
+ 100 CONTINUE
+*
+* W := W * V2
+*
+ CALL STRMM( 'Right', 'Upper', 'No transpose', 'Unit',
+ $ LASTC, K, ONE, V( LASTV-K+1, 1 ), LDV,
+ $ WORK, LDWORK )
+ IF( LASTV.GT.K ) THEN
+*
+* W := W + C1 * V1
+*
+ CALL SGEMM( 'No transpose', 'No transpose',
+ $ LASTC, K, LASTV-K, ONE, C, LDC, V, LDV,
+ $ ONE, WORK, LDWORK )
+ END IF
+*
+* W := W * T or W * T**T
+*
+ CALL STRMM( 'Right', 'Lower', TRANS, 'Non-unit',
+ $ LASTC, K, ONE, T, LDT, WORK, LDWORK )
+*
+* C := C - W * V**T
+*
+ IF( LASTV.GT.K ) THEN
+*
+* C1 := C1 - W * V1**T
+*
+ CALL SGEMM( 'No transpose', 'Transpose',
+ $ LASTC, LASTV-K, K, -ONE, WORK, LDWORK, V, LDV,
+ $ ONE, C, LDC )
+ END IF
+*
+* W := W * V2**T
+*
+ CALL STRMM( 'Right', 'Upper', 'Transpose', 'Unit',
+ $ LASTC, K, ONE, V( LASTV-K+1, 1 ), LDV,
+ $ WORK, LDWORK )
+*
+* C2 := C2 - W
+*
+ DO 120 J = 1, K
+ DO 110 I = 1, LASTC
+ C( I, LASTV-K+J ) = C( I, LASTV-K+J ) - WORK(I, J)
+ 110 CONTINUE
+ 120 CONTINUE
+ END IF
+ END IF
+*
+ ELSE IF( LSAME( STOREV, 'R' ) ) THEN
+*
+ IF( LSAME( DIRECT, 'F' ) ) THEN
+*
+* Let V = ( V1 V2 ) (V1: first K columns)
+* where V1 is unit upper triangular.
+*
+ IF( LSAME( SIDE, 'L' ) ) THEN
+*
+* Form H * C or H**T * C where C = ( C1 )
+* ( C2 )
+*
+ LASTV = MAX( K, ILASLC( K, M, V, LDV ) )
+ LASTC = ILASLC( LASTV, N, C, LDC )
+*
+* W := C**T * V**T = (C1**T * V1**T + C2**T * V2**T) (stored in WORK)
+*
+* W := C1**T
+*
+ DO 130 J = 1, K
+ CALL SCOPY( LASTC, C( J, 1 ), LDC, WORK( 1, J ), 1 )
+ 130 CONTINUE
+*
+* W := W * V1**T
+*
+ CALL STRMM( 'Right', 'Upper', 'Transpose', 'Unit',
+ $ LASTC, K, ONE, V, LDV, WORK, LDWORK )
+ IF( LASTV.GT.K ) THEN
+*
+* W := W + C2**T*V2**T
+*
+ CALL SGEMM( 'Transpose', 'Transpose',
+ $ LASTC, K, LASTV-K,
+ $ ONE, C( K+1, 1 ), LDC, V( 1, K+1 ), LDV,
+ $ ONE, WORK, LDWORK )
+ END IF
+*
+* W := W * T**T or W * T
+*
+ CALL STRMM( 'Right', 'Upper', TRANST, 'Non-unit',
+ $ LASTC, K, ONE, T, LDT, WORK, LDWORK )
+*
+* C := C - V**T * W**T
+*
+ IF( LASTV.GT.K ) THEN
+*
+* C2 := C2 - V2**T * W**T
+*
+ CALL SGEMM( 'Transpose', 'Transpose',
+ $ LASTV-K, LASTC, K,
+ $ -ONE, V( 1, K+1 ), LDV, WORK, LDWORK,
+ $ ONE, C( K+1, 1 ), LDC )
+ END IF
+*
+* W := W * V1
+*
+ CALL STRMM( 'Right', 'Upper', 'No transpose', 'Unit',
+ $ LASTC, K, ONE, V, LDV, WORK, LDWORK )
+*
+* C1 := C1 - W**T
+*
+ DO 150 J = 1, K
+ DO 140 I = 1, LASTC
+ C( J, I ) = C( J, I ) - WORK( I, J )
+ 140 CONTINUE
+ 150 CONTINUE
+*
+ ELSE IF( LSAME( SIDE, 'R' ) ) THEN
+*
+* Form C * H or C * H**T where C = ( C1 C2 )
+*
+ LASTV = MAX( K, ILASLC( K, N, V, LDV ) )
+ LASTC = ILASLR( M, LASTV, C, LDC )
+*
+* W := C * V**T = (C1*V1**T + C2*V2**T) (stored in WORK)
+*
+* W := C1
+*
+ DO 160 J = 1, K
+ CALL SCOPY( LASTC, C( 1, J ), 1, WORK( 1, J ), 1 )
+ 160 CONTINUE
+*
+* W := W * V1**T
+*
+ CALL STRMM( 'Right', 'Upper', 'Transpose', 'Unit',
+ $ LASTC, K, ONE, V, LDV, WORK, LDWORK )
+ IF( LASTV.GT.K ) THEN
+*
+* W := W + C2 * V2**T
+*
+ CALL SGEMM( 'No transpose', 'Transpose',
+ $ LASTC, K, LASTV-K,
+ $ ONE, C( 1, K+1 ), LDC, V( 1, K+1 ), LDV,
+ $ ONE, WORK, LDWORK )
+ END IF
+*
+* W := W * T or W * T**T
+*
+ CALL STRMM( 'Right', 'Upper', TRANS, 'Non-unit',
+ $ LASTC, K, ONE, T, LDT, WORK, LDWORK )
+*
+* C := C - W * V
+*
+ IF( LASTV.GT.K ) THEN
+*
+* C2 := C2 - W * V2
+*
+ CALL SGEMM( 'No transpose', 'No transpose',
+ $ LASTC, LASTV-K, K,
+ $ -ONE, WORK, LDWORK, V( 1, K+1 ), LDV,
+ $ ONE, C( 1, K+1 ), LDC )
+ END IF
+*
+* W := W * V1
+*
+ CALL STRMM( 'Right', 'Upper', 'No transpose', 'Unit',
+ $ LASTC, K, ONE, V, LDV, WORK, LDWORK )
+*
+* C1 := C1 - W
+*
+ DO 180 J = 1, K
+ DO 170 I = 1, LASTC
+ C( I, J ) = C( I, J ) - WORK( I, J )
+ 170 CONTINUE
+ 180 CONTINUE
+*
+ END IF
+*
+ ELSE
+*
+* Let V = ( V1 V2 ) (V2: last K columns)
+* where V2 is unit lower triangular.
+*
+ IF( LSAME( SIDE, 'L' ) ) THEN
+*
+* Form H * C or H**T * C where C = ( C1 )
+* ( C2 )
+*
+ LASTV = MAX( K, ILASLC( K, M, V, LDV ) )
+ LASTC = ILASLC( LASTV, N, C, LDC )
+*
+* W := C**T * V**T = (C1**T * V1**T + C2**T * V2**T) (stored in WORK)
+*
+* W := C2**T
+*
+ DO 190 J = 1, K
+ CALL SCOPY( LASTC, C( LASTV-K+J, 1 ), LDC,
+ $ WORK( 1, J ), 1 )
+ 190 CONTINUE
+*
+* W := W * V2**T
+*
+ CALL STRMM( 'Right', 'Lower', 'Transpose', 'Unit',
+ $ LASTC, K, ONE, V( 1, LASTV-K+1 ), LDV,
+ $ WORK, LDWORK )
+ IF( LASTV.GT.K ) THEN
+*
+* W := W + C1**T * V1**T
+*
+ CALL SGEMM( 'Transpose', 'Transpose',
+ $ LASTC, K, LASTV-K, ONE, C, LDC, V, LDV,
+ $ ONE, WORK, LDWORK )
+ END IF
+*
+* W := W * T**T or W * T
+*
+ CALL STRMM( 'Right', 'Lower', TRANST, 'Non-unit',
+ $ LASTC, K, ONE, T, LDT, WORK, LDWORK )
+*
+* C := C - V**T * W**T
+*
+ IF( LASTV.GT.K ) THEN
+*
+* C1 := C1 - V1**T * W**T
+*
+ CALL SGEMM( 'Transpose', 'Transpose',
+ $ LASTV-K, LASTC, K, -ONE, V, LDV, WORK, LDWORK,
+ $ ONE, C, LDC )
+ END IF
+*
+* W := W * V2
+*
+ CALL STRMM( 'Right', 'Lower', 'No transpose', 'Unit',
+ $ LASTC, K, ONE, V( 1, LASTV-K+1 ), LDV,
+ $ WORK, LDWORK )
+*
+* C2 := C2 - W**T
+*
+ DO 210 J = 1, K
+ DO 200 I = 1, LASTC
+ C( LASTV-K+J, I ) = C( LASTV-K+J, I ) - WORK(I, J)
+ 200 CONTINUE
+ 210 CONTINUE
+*
+ ELSE IF( LSAME( SIDE, 'R' ) ) THEN
+*
+* Form C * H or C * H**T where C = ( C1 C2 )
+*
+ LASTV = MAX( K, ILASLC( K, N, V, LDV ) )
+ LASTC = ILASLR( M, LASTV, C, LDC )
+*
+* W := C * V**T = (C1*V1**T + C2*V2**T) (stored in WORK)
+*
+* W := C2
+*
+ DO 220 J = 1, K
+ CALL SCOPY( LASTC, C( 1, LASTV-K+J ), 1,
+ $ WORK( 1, J ), 1 )
+ 220 CONTINUE
+*
+* W := W * V2**T
+*
+ CALL STRMM( 'Right', 'Lower', 'Transpose', 'Unit',
+ $ LASTC, K, ONE, V( 1, LASTV-K+1 ), LDV,
+ $ WORK, LDWORK )
+ IF( LASTV.GT.K ) THEN
+*
+* W := W + C1 * V1**T
+*
+ CALL SGEMM( 'No transpose', 'Transpose',
+ $ LASTC, K, LASTV-K, ONE, C, LDC, V, LDV,
+ $ ONE, WORK, LDWORK )
+ END IF
+*
+* W := W * T or W * T**T
+*
+ CALL STRMM( 'Right', 'Lower', TRANS, 'Non-unit',
+ $ LASTC, K, ONE, T, LDT, WORK, LDWORK )
+*
+* C := C - W * V
+*
+ IF( LASTV.GT.K ) THEN
+*
+* C1 := C1 - W * V1
+*
+ CALL SGEMM( 'No transpose', 'No transpose',
+ $ LASTC, LASTV-K, K, -ONE, WORK, LDWORK, V, LDV,
+ $ ONE, C, LDC )
+ END IF
+*
+* W := W * V2
+*
+ CALL STRMM( 'Right', 'Lower', 'No transpose', 'Unit',
+ $ LASTC, K, ONE, V( 1, LASTV-K+1 ), LDV,
+ $ WORK, LDWORK )
+*
+* C1 := C1 - W
+*
+ DO 240 J = 1, K
+ DO 230 I = 1, LASTC
+ C( I, LASTV-K+J ) = C( I, LASTV-K+J )
+ $ - WORK( I, J )
+ 230 CONTINUE
+ 240 CONTINUE
+*
+ END IF
+*
+ END IF
+ END IF
+*
+ RETURN
+*
+* End of SLARFB
+*
+ END