*> \author Univ. of Colorado Denver
*> \author NAG Ltd.
*
-*> \date September 2012
+*> \date June 2013
*
*> \ingroup complexOTHERauxiliary
*
SUBROUTINE CLARFB( SIDE, TRANS, DIRECT, STOREV, M, N, K, V, LDV,
$ T, LDT, C, LDC, WORK, LDWORK )
*
-* -- LAPACK auxiliary routine (version 3.4.2) --
+* -- LAPACK auxiliary routine (version 3.5.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* September 2012
+* June 2013
*
* .. Scalar Arguments ..
CHARACTER DIRECT, SIDE, STOREV, TRANS
* ..
* .. Local Scalars ..
CHARACTER TRANST
- INTEGER I, J, LASTV, LASTC
+ INTEGER I, J
* ..
* .. External Functions ..
LOGICAL LSAME
- INTEGER ILACLR, ILACLC
- EXTERNAL LSAME, ILACLR, ILACLC
+ EXTERNAL LSAME
* ..
* .. External Subroutines ..
EXTERNAL CCOPY, CGEMM, CLACGV, CTRMM
*
* Form H * C or H**H * C where C = ( C1 )
* ( C2 )
-*
- LASTV = MAX( K, ILACLR( M, K, V, LDV ) )
- LASTC = ILACLC( LASTV, N, C, LDC )
*
* W := C**H * V = (C1**H * V1 + C2**H * V2) (stored in WORK)
*
* W := C1**H
*
DO 10 J = 1, K
- CALL CCOPY( LASTC, C( J, 1 ), LDC, WORK( 1, J ), 1 )
- CALL CLACGV( LASTC, WORK( 1, J ), 1 )
+ CALL CCOPY( N, C( J, 1 ), LDC, WORK( 1, J ), 1 )
+ CALL CLACGV( N, WORK( 1, J ), 1 )
10 CONTINUE
*
* W := W * V1
*
- CALL CTRMM( 'Right', 'Lower', 'No transpose', 'Unit',
- $ LASTC, K, ONE, V, LDV, WORK, LDWORK )
- IF( LASTV.GT.K ) THEN
+ CALL CTRMM( 'Right', 'Lower', 'No transpose', 'Unit', N,
+ $ K, ONE, V, LDV, WORK, LDWORK )
+ IF( M.GT.K ) THEN
*
* W := W + C2**H *V2
*
- CALL CGEMM( 'Conjugate transpose', 'No transpose',
- $ LASTC, K, LASTV-K, ONE, C( K+1, 1 ), LDC,
- $ V( K+1, 1 ), LDV, ONE, WORK, LDWORK )
+ CALL CGEMM( 'Conjugate transpose', 'No transpose', N,
+ $ K, M-K, ONE, C( K+1, 1 ), LDC,
+ $ V( K+1, 1 ), LDV, ONE, WORK, LDWORK )
END IF
*
* W := W * T**H or W * T
*
- CALL CTRMM( 'Right', 'Upper', TRANST, 'Non-unit',
- $ LASTC, K, ONE, T, LDT, WORK, LDWORK )
+ CALL CTRMM( 'Right', 'Upper', TRANST, 'Non-unit', N, K,
+ $ ONE, T, LDT, WORK, LDWORK )
*
* C := C - V * W**H
*
* C2 := C2 - V2 * W**H
*
CALL CGEMM( 'No transpose', 'Conjugate transpose',
- $ LASTV-K, LASTC, K, -ONE, V( K+1, 1 ), LDV,
- $ WORK, LDWORK, ONE, C( K+1, 1 ), LDC )
+ $ M-K, N, K, -ONE, V( K+1, 1 ), LDV, WORK,
+ $ LDWORK, ONE, C( K+1, 1 ), LDC )
END IF
*
* W := W * V1**H
*
CALL CTRMM( 'Right', 'Lower', 'Conjugate transpose',
- $ 'Unit', LASTC, K, ONE, V, LDV, WORK, LDWORK )
+ $ 'Unit', N, K, ONE, V, LDV, WORK, LDWORK )
*
* C1 := C1 - W**H
*
DO 30 J = 1, K
- DO 20 I = 1, LASTC
+ DO 20 I = 1, N
C( J, I ) = C( J, I ) - CONJG( WORK( I, J ) )
20 CONTINUE
30 CONTINUE
ELSE IF( LSAME( SIDE, 'R' ) ) THEN
*
* Form C * H or C * H**H where C = ( C1 C2 )
-*
- LASTV = MAX( K, ILACLR( N, K, V, LDV ) )
- LASTC = ILACLR( M, LASTV, C, LDC )
*
* W := C * V = (C1*V1 + C2*V2) (stored in WORK)
*
* W := C1
*
DO 40 J = 1, K
- CALL CCOPY( LASTC, C( 1, J ), 1, WORK( 1, J ), 1 )
+ CALL CCOPY( M, C( 1, J ), 1, WORK( 1, J ), 1 )
40 CONTINUE
*
* W := W * V1
*
- CALL CTRMM( 'Right', 'Lower', 'No transpose', 'Unit',
- $ LASTC, K, ONE, V, LDV, WORK, LDWORK )
- IF( LASTV.GT.K ) THEN
+ CALL CTRMM( 'Right', 'Lower', 'No transpose', 'Unit', M,
+ $ K, ONE, V, LDV, WORK, LDWORK )
+ IF( N.GT.K ) THEN
*
* W := W + C2 * V2
*
- CALL CGEMM( 'No transpose', 'No transpose',
- $ LASTC, K, LASTV-K,
- $ ONE, C( 1, K+1 ), LDC, V( K+1, 1 ), LDV,
- $ ONE, WORK, LDWORK )
+ CALL CGEMM( 'No transpose', 'No transpose', M, K, N-K,
+ $ ONE, C( 1, K+1 ), LDC, V( K+1, 1 ), LDV,
+ $ ONE, WORK, LDWORK )
END IF
*
* W := W * T or W * T**H
*
- CALL CTRMM( 'Right', 'Upper', TRANS, 'Non-unit',
- $ LASTC, K, ONE, T, LDT, WORK, LDWORK )
+ CALL CTRMM( 'Right', 'Upper', TRANS, 'Non-unit', M, K,
+ $ ONE, T, LDT, WORK, LDWORK )
*
* C := C - W * V**H
*
- IF( LASTV.GT.K ) THEN
+ IF( N.GT.K ) THEN
*
* C2 := C2 - W * V2**H
*
- CALL CGEMM( 'No transpose', 'Conjugate transpose',
- $ LASTC, LASTV-K, K,
- $ -ONE, WORK, LDWORK, V( K+1, 1 ), LDV,
- $ ONE, C( 1, K+1 ), LDC )
+ CALL CGEMM( 'No transpose', 'Conjugate transpose', M,
+ $ N-K, K, -ONE, WORK, LDWORK, V( K+1, 1 ),
+ $ LDV, ONE, C( 1, K+1 ), LDC )
END IF
*
* W := W * V1**H
*
CALL CTRMM( 'Right', 'Lower', 'Conjugate transpose',
- $ 'Unit', LASTC, K, ONE, V, LDV, WORK, LDWORK )
+ $ 'Unit', M, K, ONE, V, LDV, WORK, LDWORK )
*
* C1 := C1 - W
*
DO 60 J = 1, K
- DO 50 I = 1, LASTC
+ DO 50 I = 1, M
C( I, J ) = C( I, J ) - WORK( I, J )
50 CONTINUE
60 CONTINUE
IF( LSAME( SIDE, 'L' ) ) THEN
*
* Form H * C or H**H * C where C = ( C1 )
-* ( C2 )
-*
- LASTC = ILACLC( M, N, C, LDC )
+* ( C2 )
*
* W := C**H * V = (C1**H * V1 + C2**H * V2) (stored in WORK)
*
* W := C2**H
*
DO 70 J = 1, K
- CALL CCOPY( LASTC, C( M-K+J, 1 ), LDC,
- $ WORK( 1, J ), 1 )
- CALL CLACGV( LASTC, WORK( 1, J ), 1 )
+ CALL CCOPY( N, C( M-K+J, 1 ), LDC, WORK( 1, J ), 1 )
+ CALL CLACGV( N, WORK( 1, J ), 1 )
70 CONTINUE
*
* W := W * V2
*
- CALL CTRMM( 'Right', 'Upper', 'No transpose', 'Unit',
- $ LASTC, K, ONE, V( M-K+1, 1 ), LDV,
- $ WORK, LDWORK )
+ CALL CTRMM( 'Right', 'Upper', 'No transpose', 'Unit', N,
+ $ K, ONE, V( M-K+1, 1 ), LDV, WORK, LDWORK )
IF( M.GT.K ) THEN
*
-* W := W + C1**H*V1
+* W := W + C1**H * V1
*
- CALL CGEMM( 'Conjugate transpose', 'No transpose',
- $ LASTC, K, M-K, ONE, C, LDC, V, LDV,
- $ ONE, WORK, LDWORK )
+ CALL CGEMM( 'Conjugate transpose', 'No transpose', N,
+ $ K, M-K, ONE, C, LDC, V, LDV, ONE, WORK,
+ $ LDWORK )
END IF
*
* W := W * T**H or W * T
*
- CALL CTRMM( 'Right', 'Lower', TRANST, 'Non-unit',
- $ LASTC, K, ONE, T, LDT, WORK, LDWORK )
+ CALL CTRMM( 'Right', 'Lower', TRANST, 'Non-unit', N, K,
+ $ ONE, T, LDT, WORK, LDWORK )
*
* C := C - V * W**H
*
* C1 := C1 - V1 * W**H
*
CALL CGEMM( 'No transpose', 'Conjugate transpose',
- $ M-K, LASTC, K, -ONE, V, LDV, WORK, LDWORK,
- $ ONE, C, LDC )
+ $ M-K, N, K, -ONE, V, LDV, WORK, LDWORK,
+ $ ONE, C, LDC )
END IF
*
* W := W * V2**H
*
CALL CTRMM( 'Right', 'Upper', 'Conjugate transpose',
- $ 'Unit', LASTC, K, ONE, V( M-K+1, 1 ), LDV,
- $ WORK, LDWORK )
+ $ 'Unit', N, K, ONE, V( M-K+1, 1 ), LDV, WORK,
+ $ LDWORK )
*
* C2 := C2 - W**H
*
DO 90 J = 1, K
- DO 80 I = 1, LASTC
+ DO 80 I = 1, N
C( M-K+J, I ) = C( M-K+J, I ) -
$ CONJG( WORK( I, J ) )
80 CONTINUE
ELSE IF( LSAME( SIDE, 'R' ) ) THEN
*
* Form C * H or C * H**H where C = ( C1 C2 )
-*
- LASTC = ILACLR( M, N, C, LDC )
*
* W := C * V = (C1*V1 + C2*V2) (stored in WORK)
*
* W := C2
*
DO 100 J = 1, K
- CALL CCOPY( LASTC, C( 1, N-K+J ), 1,
- $ WORK( 1, J ), 1 )
+ CALL CCOPY( M, C( 1, N-K+J ), 1, WORK( 1, J ), 1 )
100 CONTINUE
*
* W := W * V2
*
- CALL CTRMM( 'Right', 'Upper', 'No transpose', 'Unit',
- $ LASTC, K, ONE, V( N-K+1, 1 ), LDV,
- $ WORK, LDWORK )
+ CALL CTRMM( 'Right', 'Upper', 'No transpose', 'Unit', M,
+ $ K, ONE, V( N-K+1, 1 ), LDV, WORK, LDWORK )
IF( N.GT.K ) THEN
*
* W := W + C1 * V1
*
- CALL CGEMM( 'No transpose', 'No transpose',
- $ LASTC, K, N-K,
- $ ONE, C, LDC, V, LDV, ONE, WORK, LDWORK )
+ CALL CGEMM( 'No transpose', 'No transpose', M, K, N-K,
+ $ ONE, C, LDC, V, LDV, ONE, WORK, LDWORK )
END IF
*
* W := W * T or W * T**H
*
- CALL CTRMM( 'Right', 'Lower', TRANS, 'Non-unit',
- $ LASTC, K, ONE, T, LDT, WORK, LDWORK )
+ CALL CTRMM( 'Right', 'Lower', TRANS, 'Non-unit', M, K,
+ $ ONE, T, LDT, WORK, LDWORK )
*
* C := C - W * V**H
*
*
* C1 := C1 - W * V1**H
*
- CALL CGEMM( 'No transpose', 'Conjugate transpose',
- $ LASTC, N-K, K, -ONE, WORK, LDWORK, V, LDV,
- $ ONE, C, LDC )
+ CALL CGEMM( 'No transpose', 'Conjugate transpose', M,
+ $ N-K, K, -ONE, WORK, LDWORK, V, LDV, ONE,
+ $ C, LDC )
END IF
*
* W := W * V2**H
*
CALL CTRMM( 'Right', 'Upper', 'Conjugate transpose',
- $ 'Unit', LASTC, K, ONE, V( N-K+1, 1 ), LDV,
- $ WORK, LDWORK )
+ $ 'Unit', M, K, ONE, V( N-K+1, 1 ), LDV, WORK,
+ $ LDWORK )
*
* C2 := C2 - W
*
DO 120 J = 1, K
- DO 110 I = 1, LASTC
- C( I, N-K+J ) = C( I, N-K+J )
- $ - WORK( I, J )
+ DO 110 I = 1, M
+ C( I, N-K+J ) = C( I, N-K+J ) - WORK( I, J )
110 CONTINUE
120 CONTINUE
END IF
*
* Form H * C or H**H * C where C = ( C1 )
* ( C2 )
-*
- LASTV = MAX( K, ILACLC( K, M, V, LDV ) )
- LASTC = ILACLC( LASTV, N, C, LDC )
*
* W := C**H * V**H = (C1**H * V1**H + C2**H * V2**H) (stored in WORK)
*
* W := C1**H
*
DO 130 J = 1, K
- CALL CCOPY( LASTC, C( J, 1 ), LDC, WORK( 1, J ), 1 )
- CALL CLACGV( LASTC, WORK( 1, J ), 1 )
+ CALL CCOPY( N, C( J, 1 ), LDC, WORK( 1, J ), 1 )
+ CALL CLACGV( N, WORK( 1, J ), 1 )
130 CONTINUE
*
* W := W * V1**H
*
CALL CTRMM( 'Right', 'Upper', 'Conjugate transpose',
- $ 'Unit', LASTC, K, ONE, V, LDV, WORK, LDWORK )
- IF( LASTV.GT.K ) THEN
+ $ 'Unit', N, K, ONE, V, LDV, WORK, LDWORK )
+ IF( M.GT.K ) THEN
*
-* W := W + C2**H*V2**H
+* W := W + C2**H * V2**H
*
CALL CGEMM( 'Conjugate transpose',
- $ 'Conjugate transpose', LASTC, K, LASTV-K,
- $ ONE, C( K+1, 1 ), LDC, V( 1, K+1 ), LDV,
- $ ONE, WORK, LDWORK )
+ $ 'Conjugate transpose', N, K, M-K, ONE,
+ $ C( K+1, 1 ), LDC, V( 1, K+1 ), LDV, ONE,
+ $ WORK, LDWORK )
END IF
*
* W := W * T**H or W * T
*
- CALL CTRMM( 'Right', 'Upper', TRANST, 'Non-unit',
- $ LASTC, K, ONE, T, LDT, WORK, LDWORK )
+ CALL CTRMM( 'Right', 'Upper', TRANST, 'Non-unit', N, K,
+ $ ONE, T, LDT, WORK, LDWORK )
*
* C := C - V**H * W**H
*
- IF( LASTV.GT.K ) THEN
+ IF( M.GT.K ) THEN
*
* C2 := C2 - V2**H * W**H
*
CALL CGEMM( 'Conjugate transpose',
- $ 'Conjugate transpose', LASTV-K, LASTC, K,
- $ -ONE, V( 1, K+1 ), LDV, WORK, LDWORK,
- $ ONE, C( K+1, 1 ), LDC )
+ $ 'Conjugate transpose', M-K, N, K, -ONE,
+ $ V( 1, K+1 ), LDV, WORK, LDWORK, ONE,
+ $ C( K+1, 1 ), LDC )
END IF
*
* W := W * V1
*
- CALL CTRMM( 'Right', 'Upper', 'No transpose', 'Unit',
- $ LASTC, K, ONE, V, LDV, WORK, LDWORK )
+ CALL CTRMM( 'Right', 'Upper', 'No transpose', 'Unit', N,
+ $ K, ONE, V, LDV, WORK, LDWORK )
*
* C1 := C1 - W**H
*
DO 150 J = 1, K
- DO 140 I = 1, LASTC
+ DO 140 I = 1, N
C( J, I ) = C( J, I ) - CONJG( WORK( I, J ) )
140 CONTINUE
150 CONTINUE
ELSE IF( LSAME( SIDE, 'R' ) ) THEN
*
* Form C * H or C * H**H where C = ( C1 C2 )
-*
- LASTV = MAX( K, ILACLC( K, N, V, LDV ) )
- LASTC = ILACLR( M, LASTV, C, LDC )
*
* W := C * V**H = (C1*V1**H + C2*V2**H) (stored in WORK)
*
* W := C1
*
DO 160 J = 1, K
- CALL CCOPY( LASTC, C( 1, J ), 1, WORK( 1, J ), 1 )
+ CALL CCOPY( M, C( 1, J ), 1, WORK( 1, J ), 1 )
160 CONTINUE
*
* W := W * V1**H
*
CALL CTRMM( 'Right', 'Upper', 'Conjugate transpose',
- $ 'Unit', LASTC, K, ONE, V, LDV, WORK, LDWORK )
- IF( LASTV.GT.K ) THEN
+ $ 'Unit', M, K, ONE, V, LDV, WORK, LDWORK )
+ IF( N.GT.K ) THEN
*
* W := W + C2 * V2**H
*
- CALL CGEMM( 'No transpose', 'Conjugate transpose',
- $ LASTC, K, LASTV-K, ONE, C( 1, K+1 ), LDC,
- $ V( 1, K+1 ), LDV, ONE, WORK, LDWORK )
+ CALL CGEMM( 'No transpose', 'Conjugate transpose', M,
+ $ K, N-K, ONE, C( 1, K+1 ), LDC,
+ $ V( 1, K+1 ), LDV, ONE, WORK, LDWORK )
END IF
*
* W := W * T or W * T**H
*
- CALL CTRMM( 'Right', 'Upper', TRANS, 'Non-unit',
- $ LASTC, K, ONE, T, LDT, WORK, LDWORK )
+ CALL CTRMM( 'Right', 'Upper', TRANS, 'Non-unit', M, K,
+ $ ONE, T, LDT, WORK, LDWORK )
*
* C := C - W * V
*
- IF( LASTV.GT.K ) THEN
+ IF( N.GT.K ) THEN
*
* C2 := C2 - W * V2
*
- CALL CGEMM( 'No transpose', 'No transpose',
- $ LASTC, LASTV-K, K,
- $ -ONE, WORK, LDWORK, V( 1, K+1 ), LDV,
- $ ONE, C( 1, K+1 ), LDC )
+ CALL CGEMM( 'No transpose', 'No transpose', M, N-K, K,
+ $ -ONE, WORK, LDWORK, V( 1, K+1 ), LDV, ONE,
+ $ C( 1, K+1 ), LDC )
END IF
*
* W := W * V1
*
- CALL CTRMM( 'Right', 'Upper', 'No transpose', 'Unit',
- $ LASTC, K, ONE, V, LDV, WORK, LDWORK )
+ CALL CTRMM( 'Right', 'Upper', 'No transpose', 'Unit', M,
+ $ K, ONE, V, LDV, WORK, LDWORK )
*
* C1 := C1 - W
*
DO 180 J = 1, K
- DO 170 I = 1, LASTC
+ DO 170 I = 1, M
C( I, J ) = C( I, J ) - WORK( I, J )
170 CONTINUE
180 CONTINUE
*
* Form H * C or H**H * C where C = ( C1 )
* ( C2 )
-*
- LASTC = ILACLC( M, N, C, LDC )
*
* W := C**H * V**H = (C1**H * V1**H + C2**H * V2**H) (stored in WORK)
*
* W := C2**H
*
DO 190 J = 1, K
- CALL CCOPY( LASTC, C( M-K+J, 1 ), LDC,
- $ WORK( 1, J ), 1 )
- CALL CLACGV( LASTC, WORK( 1, J ), 1 )
+ CALL CCOPY( N, C( M-K+J, 1 ), LDC, WORK( 1, J ), 1 )
+ CALL CLACGV( N, WORK( 1, J ), 1 )
190 CONTINUE
*
* W := W * V2**H
*
CALL CTRMM( 'Right', 'Lower', 'Conjugate transpose',
- $ 'Unit', LASTC, K, ONE, V( 1, M-K+1 ), LDV,
- $ WORK, LDWORK )
+ $ 'Unit', N, K, ONE, V( 1, M-K+1 ), LDV, WORK,
+ $ LDWORK )
IF( M.GT.K ) THEN
*
* W := W + C1**H * V1**H
*
CALL CGEMM( 'Conjugate transpose',
- $ 'Conjugate transpose', LASTC, K, M-K,
- $ ONE, C, LDC, V, LDV, ONE, WORK, LDWORK )
+ $ 'Conjugate transpose', N, K, M-K, ONE, C,
+ $ LDC, V, LDV, ONE, WORK, LDWORK )
END IF
*
* W := W * T**H or W * T
*
- CALL CTRMM( 'Right', 'Lower', TRANST, 'Non-unit',
- $ LASTC, K, ONE, T, LDT, WORK, LDWORK )
+ CALL CTRMM( 'Right', 'Lower', TRANST, 'Non-unit', N, K,
+ $ ONE, T, LDT, WORK, LDWORK )
*
* C := C - V**H * W**H
*
* C1 := C1 - V1**H * W**H
*
CALL CGEMM( 'Conjugate transpose',
- $ 'Conjugate transpose', M-K, LASTC, K,
- $ -ONE, V, LDV, WORK, LDWORK, ONE, C, LDC )
+ $ 'Conjugate transpose', M-K, N, K, -ONE, V,
+ $ LDV, WORK, LDWORK, ONE, C, LDC )
END IF
*
* W := W * V2
*
- CALL CTRMM( 'Right', 'Lower', 'No transpose', 'Unit',
- $ LASTC, K, ONE, V( 1, M-K+1 ), LDV,
- $ WORK, LDWORK )
+ CALL CTRMM( 'Right', 'Lower', 'No transpose', 'Unit', N,
+ $ K, ONE, V( 1, M-K+1 ), LDV, WORK, LDWORK )
*
* C2 := C2 - W**H
*
DO 210 J = 1, K
- DO 200 I = 1, LASTC
+ DO 200 I = 1, N
C( M-K+J, I ) = C( M-K+J, I ) -
$ CONJG( WORK( I, J ) )
200 CONTINUE
ELSE IF( LSAME( SIDE, 'R' ) ) THEN
*
* Form C * H or C * H**H where C = ( C1 C2 )
-*
- LASTC = ILACLR( M, N, C, LDC )
*
* W := C * V**H = (C1*V1**H + C2*V2**H) (stored in WORK)
*
* W := C2
*
DO 220 J = 1, K
- CALL CCOPY( LASTC, C( 1, N-K+J ), 1,
- $ WORK( 1, J ), 1 )
+ CALL CCOPY( M, C( 1, N-K+J ), 1, WORK( 1, J ), 1 )
220 CONTINUE
*
* W := W * V2**H
*
CALL CTRMM( 'Right', 'Lower', 'Conjugate transpose',
- $ 'Unit', LASTC, K, ONE, V( 1, N-K+1 ), LDV,
- $ WORK, LDWORK )
+ $ 'Unit', M, K, ONE, V( 1, N-K+1 ), LDV, WORK,
+ $ LDWORK )
IF( N.GT.K ) THEN
*
* W := W + C1 * V1**H
*
- CALL CGEMM( 'No transpose', 'Conjugate transpose',
- $ LASTC, K, N-K, ONE, C, LDC, V, LDV, ONE,
- $ WORK, LDWORK )
+ CALL CGEMM( 'No transpose', 'Conjugate transpose', M,
+ $ K, N-K, ONE, C, LDC, V, LDV, ONE, WORK,
+ $ LDWORK )
END IF
*
* W := W * T or W * T**H
*
- CALL CTRMM( 'Right', 'Lower', TRANS, 'Non-unit',
- $ LASTC, K, ONE, T, LDT, WORK, LDWORK )
+ CALL CTRMM( 'Right', 'Lower', TRANS, 'Non-unit', M, K,
+ $ ONE, T, LDT, WORK, LDWORK )
*
* C := C - W * V
*
*
* C1 := C1 - W * V1
*
- CALL CGEMM( 'No transpose', 'No transpose',
- $ LASTC, N-K, K, -ONE, WORK, LDWORK, V, LDV,
- $ ONE, C, LDC )
+ CALL CGEMM( 'No transpose', 'No transpose', M, N-K, K,
+ $ -ONE, WORK, LDWORK, V, LDV, ONE, C, LDC )
END IF
*
* W := W * V2
*
- CALL CTRMM( 'Right', 'Lower', 'No transpose', 'Unit',
- $ LASTC, K, ONE, V( 1, N-K+1 ), LDV,
- $ WORK, LDWORK )
+ CALL CTRMM( 'Right', 'Lower', 'No transpose', 'Unit', M,
+ $ K, ONE, V( 1, N-K+1 ), LDV, WORK, LDWORK )
*
* C1 := C1 - W
*
DO 240 J = 1, K
- DO 230 I = 1, LASTC
+ DO 230 I = 1, M
C( I, N-K+J ) = C( I, N-K+J ) - WORK( I, J )
230 CONTINUE
240 CONTINUE
*> \author Univ. of Colorado Denver
*> \author NAG Ltd.
*
-*> \date September 2012
+*> \date June 2013
*
*> \ingroup doubleOTHERauxiliary
*
SUBROUTINE DLARFB( SIDE, TRANS, DIRECT, STOREV, M, N, K, V, LDV,
$ T, LDT, C, LDC, WORK, LDWORK )
*
-* -- LAPACK auxiliary routine (version 3.4.2) --
+* -- LAPACK auxiliary routine (version 3.5.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* September 2012
+* June 2013
*
* .. Scalar Arguments ..
CHARACTER DIRECT, SIDE, STOREV, TRANS
* ..
* .. Local Scalars ..
CHARACTER TRANST
- INTEGER I, J, LASTV, LASTC, lastv2
+ INTEGER I, J
* ..
* .. External Functions ..
LOGICAL LSAME
- INTEGER ILADLR, ILADLC
- EXTERNAL LSAME, ILADLR, ILADLC
+ EXTERNAL LSAME
* ..
* .. External Subroutines ..
EXTERNAL DCOPY, DGEMM, DTRMM
*
* Form H * C or H**T * C where C = ( C1 )
* ( C2 )
-*
- LASTV = MAX( K, ILADLR( M, K, V, LDV ) )
- LASTC = ILADLC( 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 DCOPY( LASTC, C( J, 1 ), LDC, WORK( 1, J ), 1 )
+ CALL DCOPY( N, C( J, 1 ), LDC, WORK( 1, J ), 1 )
10 CONTINUE
*
* W := W * V1
*
- CALL DTRMM( 'Right', 'Lower', 'No transpose', 'Unit',
- $ LASTC, K, ONE, V, LDV, WORK, LDWORK )
- IF( LASTV.GT.K ) THEN
+ CALL DTRMM( 'Right', 'Lower', 'No transpose', 'Unit', N,
+ $ K, ONE, V, LDV, WORK, LDWORK )
+ IF( M.GT.K ) THEN
*
-* W := W + C2**T *V2
+* W := W + C2**T * V2
*
- CALL DGEMM( 'Transpose', 'No transpose',
- $ LASTC, K, LASTV-K,
- $ ONE, C( K+1, 1 ), LDC, V( K+1, 1 ), LDV,
- $ ONE, WORK, LDWORK )
+ CALL DGEMM( 'Transpose', 'No transpose', N, K, M-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 DTRMM( 'Right', 'Upper', TRANST, 'Non-unit',
- $ LASTC, K, ONE, T, LDT, WORK, LDWORK )
+ CALL DTRMM( 'Right', 'Upper', TRANST, 'Non-unit', N, K,
+ $ ONE, T, LDT, WORK, LDWORK )
*
* C := C - V * W**T
*
- IF( LASTV.GT.K ) THEN
+ IF( M.GT.K ) THEN
*
* C2 := C2 - V2 * W**T
*
- CALL DGEMM( 'No transpose', 'Transpose',
- $ LASTV-K, LASTC, K,
- $ -ONE, V( K+1, 1 ), LDV, WORK, LDWORK, ONE,
- $ C( K+1, 1 ), LDC )
+ CALL DGEMM( 'No transpose', 'Transpose', M-K, N, K,
+ $ -ONE, V( K+1, 1 ), LDV, WORK, LDWORK, ONE,
+ $ C( K+1, 1 ), LDC )
END IF
*
* W := W * V1**T
*
- CALL DTRMM( 'Right', 'Lower', 'Transpose', 'Unit',
- $ LASTC, K, ONE, V, LDV, WORK, LDWORK )
+ CALL DTRMM( 'Right', 'Lower', 'Transpose', 'Unit', N, K,
+ $ ONE, V, LDV, WORK, LDWORK )
*
* C1 := C1 - W**T
*
DO 30 J = 1, K
- DO 20 I = 1, LASTC
+ DO 20 I = 1, N
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, ILADLR( N, K, V, LDV ) )
- LASTC = ILADLR( M, LASTV, C, LDC )
*
* W := C * V = (C1*V1 + C2*V2) (stored in WORK)
*
* W := C1
*
DO 40 J = 1, K
- CALL DCOPY( LASTC, C( 1, J ), 1, WORK( 1, J ), 1 )
+ CALL DCOPY( M, C( 1, J ), 1, WORK( 1, J ), 1 )
40 CONTINUE
*
* W := W * V1
*
- CALL DTRMM( 'Right', 'Lower', 'No transpose', 'Unit',
- $ LASTC, K, ONE, V, LDV, WORK, LDWORK )
- IF( LASTV.GT.K ) THEN
+ CALL DTRMM( 'Right', 'Lower', 'No transpose', 'Unit', M,
+ $ K, ONE, V, LDV, WORK, LDWORK )
+ IF( N.GT.K ) THEN
*
* W := W + C2 * V2
*
- CALL DGEMM( 'No transpose', 'No transpose',
- $ LASTC, K, LASTV-K,
- $ ONE, C( 1, K+1 ), LDC, V( K+1, 1 ), LDV,
- $ ONE, WORK, LDWORK )
+ CALL DGEMM( 'No transpose', 'No transpose', M, K, N-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 DTRMM( 'Right', 'Upper', TRANS, 'Non-unit',
- $ LASTC, K, ONE, T, LDT, WORK, LDWORK )
+ CALL DTRMM( 'Right', 'Upper', TRANS, 'Non-unit', M, K,
+ $ ONE, T, LDT, WORK, LDWORK )
*
* C := C - W * V**T
*
- IF( LASTV.GT.K ) THEN
+ IF( N.GT.K ) THEN
*
* C2 := C2 - W * V2**T
*
- CALL DGEMM( 'No transpose', 'Transpose',
- $ LASTC, LASTV-K, K,
- $ -ONE, WORK, LDWORK, V( K+1, 1 ), LDV, ONE,
- $ C( 1, K+1 ), LDC )
+ CALL DGEMM( 'No transpose', 'Transpose', M, N-K, K,
+ $ -ONE, WORK, LDWORK, V( K+1, 1 ), LDV, ONE,
+ $ C( 1, K+1 ), LDC )
END IF
*
* W := W * V1**T
*
- CALL DTRMM( 'Right', 'Lower', 'Transpose', 'Unit',
- $ LASTC, K, ONE, V, LDV, WORK, LDWORK )
+ CALL DTRMM( 'Right', 'Lower', 'Transpose', 'Unit', M, K,
+ $ ONE, V, LDV, WORK, LDWORK )
*
* C1 := C1 - W
*
DO 60 J = 1, K
- DO 50 I = 1, LASTC
+ DO 50 I = 1, M
C( I, J ) = C( I, J ) - WORK( I, J )
50 CONTINUE
60 CONTINUE
*
* Form H * C or H**T * C where C = ( C1 )
* ( C2 )
-*
- LASTC = ILADLC( M, 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 DCOPY( LASTC, C( M-K+J, 1 ), LDC,
- $ WORK( 1, J ), 1 )
+ CALL DCOPY( N, C( M-K+J, 1 ), LDC, WORK( 1, J ), 1 )
70 CONTINUE
*
* W := W * V2
*
- CALL DTRMM( 'Right', 'Upper', 'No transpose', 'Unit',
- $ LASTC, K, ONE, V( M-K+1, 1 ), LDV,
- $ WORK, LDWORK )
+ CALL DTRMM( 'Right', 'Upper', 'No transpose', 'Unit', N,
+ $ K, ONE, V( M-K+1, 1 ), LDV, WORK, LDWORK )
IF( M.GT.K ) THEN
*
-* W := W + C1**T*V1
+* W := W + C1**T * V1
*
- CALL DGEMM( 'Transpose', 'No transpose',
- $ LASTC, K, M-K, ONE, C, LDC, V, LDV,
- $ ONE, WORK, LDWORK )
+ CALL DGEMM( 'Transpose', 'No transpose', N, K, M-K,
+ $ ONE, C, LDC, V, LDV, ONE, WORK, LDWORK )
END IF
*
* W := W * T**T or W * T
*
- CALL DTRMM( 'Right', 'Lower', TRANST, 'Non-unit',
- $ LASTC, K, ONE, T, LDT, WORK, LDWORK )
+ CALL DTRMM( 'Right', 'Lower', TRANST, 'Non-unit', N, K,
+ $ ONE, T, LDT, WORK, LDWORK )
*
* C := C - V * W**T
*
*
* C1 := C1 - V1 * W**T
*
- CALL DGEMM( 'No transpose', 'Transpose',
- $ M-K, LASTC, K, -ONE, V, LDV, WORK, LDWORK,
- $ ONE, C, LDC )
+ CALL DGEMM( 'No transpose', 'Transpose', M-K, N, K,
+ $ -ONE, V, LDV, WORK, LDWORK, ONE, C, LDC )
END IF
*
* W := W * V2**T
*
- CALL DTRMM( 'Right', 'Upper', 'Transpose', 'Unit',
- $ LASTC, K, ONE, V( M-K+1, 1 ), LDV,
- $ WORK, LDWORK )
+ CALL DTRMM( 'Right', 'Upper', 'Transpose', 'Unit', N, K,
+ $ ONE, V( M-K+1, 1 ), LDV, WORK, LDWORK )
*
* C2 := C2 - W**T
*
DO 90 J = 1, K
- DO 80 I = 1, LASTC
- C( M-K+J, I ) = C( M-K+J, I ) - WORK(I, J)
+ DO 80 I = 1, N
+ C( M-K+J, I ) = C( M-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 )
-*
- LASTC = ILADLR( M, N, C, LDC )
*
* W := C * V = (C1*V1 + C2*V2) (stored in WORK)
*
* W := C2
*
DO 100 J = 1, K
- CALL DCOPY( LASTC, C( 1, N-K+J ), 1, WORK( 1, J ), 1 )
+ CALL DCOPY( M, C( 1, N-K+J ), 1, WORK( 1, J ), 1 )
100 CONTINUE
*
* W := W * V2
*
- CALL DTRMM( 'Right', 'Upper', 'No transpose', 'Unit',
- $ LASTC, K, ONE, V( N-K+1, 1 ), LDV,
- $ WORK, LDWORK )
+ CALL DTRMM( 'Right', 'Upper', 'No transpose', 'Unit', M,
+ $ K, ONE, V( N-K+1, 1 ), LDV, WORK, LDWORK )
IF( N.GT.K ) THEN
*
* W := W + C1 * V1
*
- CALL DGEMM( 'No transpose', 'No transpose',
- $ LASTC, K, N-K, ONE, C, LDC, V, LDV,
- $ ONE, WORK, LDWORK )
+ CALL DGEMM( 'No transpose', 'No transpose', M, K, N-K,
+ $ ONE, C, LDC, V, LDV, ONE, WORK, LDWORK )
END IF
*
* W := W * T or W * T**T
*
- CALL DTRMM( 'Right', 'Lower', TRANS, 'Non-unit',
- $ LASTC, K, ONE, T, LDT, WORK, LDWORK )
+ CALL DTRMM( 'Right', 'Lower', TRANS, 'Non-unit', M, K,
+ $ ONE, T, LDT, WORK, LDWORK )
*
* C := C - W * V**T
*
*
* C1 := C1 - W * V1**T
*
- CALL DGEMM( 'No transpose', 'Transpose',
- $ LASTC, N-K, K, -ONE, WORK, LDWORK, V, LDV,
- $ ONE, C, LDC )
+ CALL DGEMM( 'No transpose', 'Transpose', M, N-K, K,
+ $ -ONE, WORK, LDWORK, V, LDV, ONE, C, LDC )
END IF
*
* W := W * V2**T
*
- CALL DTRMM( 'Right', 'Upper', 'Transpose', 'Unit',
- $ LASTC, K, ONE, V( N-K+1, 1 ), LDV,
- $ WORK, LDWORK )
+ CALL DTRMM( 'Right', 'Upper', 'Transpose', 'Unit', M, K,
+ $ ONE, V( N-K+1, 1 ), LDV, WORK, LDWORK )
*
* C2 := C2 - W
*
DO 120 J = 1, K
- DO 110 I = 1, LASTC
- C( I, N-K+J ) = C( I, N-K+J ) - WORK(I, J)
+ DO 110 I = 1, M
+ C( I, N-K+J ) = C( I, N-K+J ) - WORK( I, J )
110 CONTINUE
120 CONTINUE
END IF
*
* Form H * C or H**T * C where C = ( C1 )
* ( C2 )
-*
- LASTV = MAX( K, ILADLC( K, M, V, LDV ) )
- LASTC = ILADLC( 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 DCOPY( LASTC, C( J, 1 ), LDC, WORK( 1, J ), 1 )
+ CALL DCOPY( N, C( J, 1 ), LDC, WORK( 1, J ), 1 )
130 CONTINUE
*
* W := W * V1**T
*
- CALL DTRMM( 'Right', 'Upper', 'Transpose', 'Unit',
- $ LASTC, K, ONE, V, LDV, WORK, LDWORK )
- IF( LASTV.GT.K ) THEN
+ CALL DTRMM( 'Right', 'Upper', 'Transpose', 'Unit', N, K,
+ $ ONE, V, LDV, WORK, LDWORK )
+ IF( M.GT.K ) THEN
*
-* W := W + C2**T*V2**T
+* W := W + C2**T * V2**T
*
- CALL DGEMM( 'Transpose', 'Transpose',
- $ LASTC, K, LASTV-K,
- $ ONE, C( K+1, 1 ), LDC, V( 1, K+1 ), LDV,
- $ ONE, WORK, LDWORK )
+ CALL DGEMM( 'Transpose', 'Transpose', N, K, M-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 DTRMM( 'Right', 'Upper', TRANST, 'Non-unit',
- $ LASTC, K, ONE, T, LDT, WORK, LDWORK )
+ CALL DTRMM( 'Right', 'Upper', TRANST, 'Non-unit', N, K,
+ $ ONE, T, LDT, WORK, LDWORK )
*
* C := C - V**T * W**T
*
- IF( LASTV.GT.K ) THEN
+ IF( M.GT.K ) THEN
*
* C2 := C2 - V2**T * W**T
*
- CALL DGEMM( 'Transpose', 'Transpose',
- $ LASTV-K, LASTC, K,
- $ -ONE, V( 1, K+1 ), LDV, WORK, LDWORK,
- $ ONE, C( K+1, 1 ), LDC )
+ CALL DGEMM( 'Transpose', 'Transpose', M-K, N, K, -ONE,
+ $ V( 1, K+1 ), LDV, WORK, LDWORK, ONE,
+ $ C( K+1, 1 ), LDC )
END IF
*
* W := W * V1
*
- CALL DTRMM( 'Right', 'Upper', 'No transpose', 'Unit',
- $ LASTC, K, ONE, V, LDV, WORK, LDWORK )
+ CALL DTRMM( 'Right', 'Upper', 'No transpose', 'Unit', N,
+ $ K, ONE, V, LDV, WORK, LDWORK )
*
* C1 := C1 - W**T
*
DO 150 J = 1, K
- DO 140 I = 1, LASTC
+ DO 140 I = 1, N
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, ILADLC( K, N, V, LDV ) )
- LASTC = ILADLR( 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 DCOPY( LASTC, C( 1, J ), 1, WORK( 1, J ), 1 )
+ CALL DCOPY( M, C( 1, J ), 1, WORK( 1, J ), 1 )
160 CONTINUE
*
* W := W * V1**T
*
- CALL DTRMM( 'Right', 'Upper', 'Transpose', 'Unit',
- $ LASTC, K, ONE, V, LDV, WORK, LDWORK )
- IF( LASTV.GT.K ) THEN
+ CALL DTRMM( 'Right', 'Upper', 'Transpose', 'Unit', M, K,
+ $ ONE, V, LDV, WORK, LDWORK )
+ IF( N.GT.K ) THEN
*
* W := W + C2 * V2**T
*
- CALL DGEMM( 'No transpose', 'Transpose',
- $ LASTC, K, LASTV-K,
- $ ONE, C( 1, K+1 ), LDC, V( 1, K+1 ), LDV,
- $ ONE, WORK, LDWORK )
+ CALL DGEMM( 'No transpose', 'Transpose', M, K, N-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 DTRMM( 'Right', 'Upper', TRANS, 'Non-unit',
- $ LASTC, K, ONE, T, LDT, WORK, LDWORK )
+ CALL DTRMM( 'Right', 'Upper', TRANS, 'Non-unit', M, K,
+ $ ONE, T, LDT, WORK, LDWORK )
*
* C := C - W * V
*
- IF( LASTV.GT.K ) THEN
+ IF( N.GT.K ) THEN
*
* C2 := C2 - W * V2
*
- CALL DGEMM( 'No transpose', 'No transpose',
- $ LASTC, LASTV-K, K,
- $ -ONE, WORK, LDWORK, V( 1, K+1 ), LDV,
- $ ONE, C( 1, K+1 ), LDC )
+ CALL DGEMM( 'No transpose', 'No transpose', M, N-K, K,
+ $ -ONE, WORK, LDWORK, V( 1, K+1 ), LDV, ONE,
+ $ C( 1, K+1 ), LDC )
END IF
*
* W := W * V1
*
- CALL DTRMM( 'Right', 'Upper', 'No transpose', 'Unit',
- $ LASTC, K, ONE, V, LDV, WORK, LDWORK )
+ CALL DTRMM( 'Right', 'Upper', 'No transpose', 'Unit', M,
+ $ K, ONE, V, LDV, WORK, LDWORK )
*
* C1 := C1 - W
*
DO 180 J = 1, K
- DO 170 I = 1, LASTC
+ DO 170 I = 1, M
C( I, J ) = C( I, J ) - WORK( I, J )
170 CONTINUE
180 CONTINUE
*
* Form H * C or H**T * C where C = ( C1 )
* ( C2 )
-*
- LASTC = ILADLC( M, 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 DCOPY( LASTC, C( M-K+J, 1 ), LDC,
- $ WORK( 1, J ), 1 )
+ CALL DCOPY( N, C( M-K+J, 1 ), LDC, WORK( 1, J ), 1 )
190 CONTINUE
*
* W := W * V2**T
*
- CALL DTRMM( 'Right', 'Lower', 'Transpose', 'Unit',
- $ LASTC, K, ONE, V( 1, M-K+1 ), LDV,
- $ WORK, LDWORK )
+ CALL DTRMM( 'Right', 'Lower', 'Transpose', 'Unit', N, K,
+ $ ONE, V( 1, M-K+1 ), LDV, WORK, LDWORK )
IF( M.GT.K ) THEN
*
* W := W + C1**T * V1**T
*
- CALL DGEMM( 'Transpose', 'Transpose',
- $ LASTC, K, M-K, ONE, C, LDC, V, LDV,
- $ ONE, WORK, LDWORK )
+ CALL DGEMM( 'Transpose', 'Transpose', N, K, M-K, ONE,
+ $ C, LDC, V, LDV, ONE, WORK, LDWORK )
END IF
*
* W := W * T**T or W * T
*
- CALL DTRMM( 'Right', 'Lower', TRANST, 'Non-unit',
- $ LASTC, K, ONE, T, LDT, WORK, LDWORK )
+ CALL DTRMM( 'Right', 'Lower', TRANST, 'Non-unit', N, K,
+ $ ONE, T, LDT, WORK, LDWORK )
*
* C := C - V**T * W**T
*
*
* C1 := C1 - V1**T * W**T
*
- CALL DGEMM( 'Transpose', 'Transpose',
- $ M-K, LASTC, K, -ONE, V, LDV, WORK, LDWORK,
- $ ONE, C, LDC )
+ CALL DGEMM( 'Transpose', 'Transpose', M-K, N, K, -ONE,
+ $ V, LDV, WORK, LDWORK, ONE, C, LDC )
END IF
*
* W := W * V2
*
- CALL DTRMM( 'Right', 'Lower', 'No transpose', 'Unit',
- $ LASTC, K, ONE, V( 1, M-K+1 ), LDV,
- $ WORK, LDWORK )
+ CALL DTRMM( 'Right', 'Lower', 'No transpose', 'Unit', N,
+ $ K, ONE, V( 1, M-K+1 ), LDV, WORK, LDWORK )
*
* C2 := C2 - W**T
*
DO 210 J = 1, K
- DO 200 I = 1, LASTC
- C( M-K+J, I ) = C( M-K+J, I ) - WORK(I, J)
+ DO 200 I = 1, N
+ C( M-K+J, I ) = C( M-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 )
-*
- LASTC = ILADLR( M, N, C, LDC )
+* Form C * H or C * H' where C = ( C1 C2 )
*
* W := C * V**T = (C1*V1**T + C2*V2**T) (stored in WORK)
*
* W := C2
*
DO 220 J = 1, K
- CALL DCOPY( LASTC, C( 1, N-K+J ), 1,
- $ WORK( 1, J ), 1 )
+ CALL DCOPY( M, C( 1, N-K+J ), 1, WORK( 1, J ), 1 )
220 CONTINUE
*
* W := W * V2**T
*
- CALL DTRMM( 'Right', 'Lower', 'Transpose', 'Unit',
- $ LASTC, K, ONE, V( 1, N-K+1 ), LDV,
- $ WORK, LDWORK )
+ CALL DTRMM( 'Right', 'Lower', 'Transpose', 'Unit', M, K,
+ $ ONE, V( 1, N-K+1 ), LDV, WORK, LDWORK )
IF( N.GT.K ) THEN
*
* W := W + C1 * V1**T
*
- CALL DGEMM( 'No transpose', 'Transpose',
- $ LASTC, K, N-K, ONE, C, LDC, V, LDV,
- $ ONE, WORK, LDWORK )
+ CALL DGEMM( 'No transpose', 'Transpose', M, K, N-K,
+ $ ONE, C, LDC, V, LDV, ONE, WORK, LDWORK )
END IF
*
* W := W * T or W * T**T
*
- CALL DTRMM( 'Right', 'Lower', TRANS, 'Non-unit',
- $ LASTC, K, ONE, T, LDT, WORK, LDWORK )
+ CALL DTRMM( 'Right', 'Lower', TRANS, 'Non-unit', M, K,
+ $ ONE, T, LDT, WORK, LDWORK )
*
* C := C - W * V
*
*
* C1 := C1 - W * V1
*
- CALL DGEMM( 'No transpose', 'No transpose',
- $ LASTC, N-K, K, -ONE, WORK, LDWORK, V, LDV,
- $ ONE, C, LDC )
+ CALL DGEMM( 'No transpose', 'No transpose', M, N-K, K,
+ $ -ONE, WORK, LDWORK, V, LDV, ONE, C, LDC )
END IF
*
* W := W * V2
*
- CALL DTRMM( 'Right', 'Lower', 'No transpose', 'Unit',
- $ LASTC, K, ONE, V( 1, N-K+1 ), LDV,
- $ WORK, LDWORK )
+ CALL DTRMM( 'Right', 'Lower', 'No transpose', 'Unit', M,
+ $ K, ONE, V( 1, N-K+1 ), LDV, WORK, LDWORK )
*
* C1 := C1 - W
*
DO 240 J = 1, K
- DO 230 I = 1, LASTC
- C( I, N-K+J ) = C( I, N-K+J ) - WORK(I, J)
+ DO 230 I = 1, M
+ C( I, N-K+J ) = C( I, N-K+J ) - WORK( I, J )
230 CONTINUE
240 CONTINUE
*
*> \author Univ. of Colorado Denver
*> \author NAG Ltd.
*
-*> \date September 2012
+*> \date June 2013
*
*> \ingroup realOTHERauxiliary
*
SUBROUTINE SLARFB( SIDE, TRANS, DIRECT, STOREV, M, N, K, V, LDV,
$ T, LDT, C, LDC, WORK, LDWORK )
*
-* -- LAPACK auxiliary routine (version 3.4.2) --
+* -- LAPACK auxiliary routine (version 3.5.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* September 2012
+* June 2013
*
* .. Scalar Arguments ..
CHARACTER DIRECT, SIDE, STOREV, TRANS
* ..
* .. Local Scalars ..
CHARACTER TRANST
- INTEGER I, J, LASTV, LASTC
+ INTEGER I, J
* ..
* .. External Functions ..
LOGICAL LSAME
- INTEGER ILASLR, ILASLC
- EXTERNAL LSAME, ILASLR, ILASLC
+ EXTERNAL LSAME
* ..
* .. External Subroutines ..
EXTERNAL SCOPY, SGEMM, STRMM
*
* 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 )
+ CALL SCOPY( N, 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
+ CALL STRMM( 'Right', 'Lower', 'No transpose', 'Unit', N,
+ $ K, ONE, V, LDV, WORK, LDWORK )
+ IF( M.GT.K ) THEN
*
-* W := W + C2**T *V2
+* 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 )
+ CALL SGEMM( 'Transpose', 'No transpose', N, K, M-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 )
+ CALL STRMM( 'Right', 'Upper', TRANST, 'Non-unit', N, K,
+ $ ONE, T, LDT, WORK, LDWORK )
*
* C := C - V * W**T
*
- IF( LASTV.GT.K ) THEN
+ IF( M.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 )
+ CALL SGEMM( 'No transpose', 'Transpose', M-K, N, 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 )
+ CALL STRMM( 'Right', 'Lower', 'Transpose', 'Unit', N, K,
+ $ ONE, V, LDV, WORK, LDWORK )
*
* C1 := C1 - W**T
*
DO 30 J = 1, K
- DO 20 I = 1, LASTC
+ DO 20 I = 1, N
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 )
+ CALL SCOPY( M, 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
+ CALL STRMM( 'Right', 'Lower', 'No transpose', 'Unit', M,
+ $ K, ONE, V, LDV, WORK, LDWORK )
+ IF( N.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 )
+ CALL SGEMM( 'No transpose', 'No transpose', M, K, N-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 )
+ CALL STRMM( 'Right', 'Upper', TRANS, 'Non-unit', M, K,
+ $ ONE, T, LDT, WORK, LDWORK )
*
* C := C - W * V**T
*
- IF( LASTV.GT.K ) THEN
+ IF( N.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 )
+ CALL SGEMM( 'No transpose', 'Transpose', M, N-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 )
+ CALL STRMM( 'Right', 'Lower', 'Transpose', 'Unit', M, K,
+ $ ONE, V, LDV, WORK, LDWORK )
*
* C1 := C1 - W
*
DO 60 J = 1, K
- DO 50 I = 1, LASTC
+ DO 50 I = 1, M
C( I, J ) = C( I, J ) - WORK( I, J )
50 CONTINUE
60 CONTINUE
*
* Form H * C or H**T * C where C = ( C1 )
* ( C2 )
-*
- LASTC = ILASLC( M, 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( M-K+J, 1 ), LDC,
- $ WORK( 1, J ), 1 )
+ CALL SCOPY( N, C( M-K+J, 1 ), LDC, WORK( 1, J ), 1 )
70 CONTINUE
*
* W := W * V2
*
- CALL STRMM( 'Right', 'Upper', 'No transpose', 'Unit',
- $ LASTC, K, ONE, V( M-K+1, 1 ), LDV,
- $ WORK, LDWORK )
+ CALL STRMM( 'Right', 'Upper', 'No transpose', 'Unit', N,
+ $ K, ONE, V( M-K+1, 1 ), LDV, WORK, LDWORK )
IF( M.GT.K ) THEN
*
-* W := W + C1**T*V1
+* W := W + C1**T * V1
*
- CALL SGEMM( 'Transpose', 'No transpose',
- $ LASTC, K, M-K, ONE, C, LDC, V, LDV,
- $ ONE, WORK, LDWORK )
+ CALL SGEMM( 'Transpose', 'No transpose', N, K, M-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 )
+ CALL STRMM( 'Right', 'Lower', TRANST, 'Non-unit', N, K,
+ $ ONE, T, LDT, WORK, LDWORK )
*
* C := C - V * W**T
*
*
* C1 := C1 - V1 * W**T
*
- CALL SGEMM( 'No transpose', 'Transpose',
- $ M-K, LASTC, K, -ONE, V, LDV, WORK, LDWORK,
- $ ONE, C, LDC )
+ CALL SGEMM( 'No transpose', 'Transpose', M-K, N, 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( M-K+1, 1 ), LDV,
- $ WORK, LDWORK )
+ CALL STRMM( 'Right', 'Upper', 'Transpose', 'Unit', N, K,
+ $ ONE, V( M-K+1, 1 ), LDV, WORK, LDWORK )
*
* C2 := C2 - W**T
*
DO 90 J = 1, K
- DO 80 I = 1, LASTC
- C( M-K+J, I ) = C( M-K+J, I ) - WORK(I, J)
+ DO 80 I = 1, N
+ C( M-K+J, I ) = C( M-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 )
-*
- LASTC = ILASLR( M, N, C, LDC )
+* Form C * H or C * H' where C = ( C1 C2 )
*
* 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 )
+ CALL SCOPY( M, 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( N-K+1, 1 ), LDV,
- $ WORK, LDWORK )
+ CALL STRMM( 'Right', 'Upper', 'No transpose', 'Unit', M,
+ $ K, ONE, V( N-K+1, 1 ), LDV, WORK, LDWORK )
IF( N.GT.K ) THEN
*
* W := W + C1 * V1
*
- CALL SGEMM( 'No transpose', 'No transpose',
- $ LASTC, K, N-K, ONE, C, LDC, V, LDV,
- $ ONE, WORK, LDWORK )
+ CALL SGEMM( 'No transpose', 'No transpose', M, K, N-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 )
+ CALL STRMM( 'Right', 'Lower', TRANS, 'Non-unit', M, K,
+ $ ONE, T, LDT, WORK, LDWORK )
*
* C := C - W * V**T
*
*
* C1 := C1 - W * V1**T
*
- CALL SGEMM( 'No transpose', 'Transpose',
- $ LASTC, N-K, K, -ONE, WORK, LDWORK, V, LDV,
- $ ONE, C, LDC )
+ CALL SGEMM( 'No transpose', 'Transpose', M, N-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( N-K+1, 1 ), LDV,
- $ WORK, LDWORK )
+ CALL STRMM( 'Right', 'Upper', 'Transpose', 'Unit', M, K,
+ $ ONE, V( N-K+1, 1 ), LDV, WORK, LDWORK )
*
* C2 := C2 - W
*
DO 120 J = 1, K
- DO 110 I = 1, LASTC
- C( I, N-K+J ) = C( I, N-K+J ) - WORK(I, J)
+ DO 110 I = 1, M
+ C( I, N-K+J ) = C( I, N-K+J ) - WORK( I, J )
110 CONTINUE
120 CONTINUE
END IF
*
* 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 )
+ CALL SCOPY( N, 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
+ CALL STRMM( 'Right', 'Upper', 'Transpose', 'Unit', N, K,
+ $ ONE, V, LDV, WORK, LDWORK )
+ IF( M.GT.K ) THEN
*
-* W := W + C2**T*V2**T
+* 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 )
+ CALL SGEMM( 'Transpose', 'Transpose', N, K, M-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 )
+ CALL STRMM( 'Right', 'Upper', TRANST, 'Non-unit', N, K,
+ $ ONE, T, LDT, WORK, LDWORK )
*
* C := C - V**T * W**T
*
- IF( LASTV.GT.K ) THEN
+ IF( M.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 )
+ CALL SGEMM( 'Transpose', 'Transpose', M-K, N, 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 )
+ CALL STRMM( 'Right', 'Upper', 'No transpose', 'Unit', N,
+ $ K, ONE, V, LDV, WORK, LDWORK )
*
* C1 := C1 - W**T
*
DO 150 J = 1, K
- DO 140 I = 1, LASTC
+ DO 140 I = 1, N
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 )
+ CALL SCOPY( M, 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
+ CALL STRMM( 'Right', 'Upper', 'Transpose', 'Unit', M, K,
+ $ ONE, V, LDV, WORK, LDWORK )
+ IF( N.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 )
+ CALL SGEMM( 'No transpose', 'Transpose', M, K, N-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 )
+ CALL STRMM( 'Right', 'Upper', TRANS, 'Non-unit', M, K,
+ $ ONE, T, LDT, WORK, LDWORK )
*
* C := C - W * V
*
- IF( LASTV.GT.K ) THEN
+ IF( N.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 )
+ CALL SGEMM( 'No transpose', 'No transpose', M, N-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 )
+ CALL STRMM( 'Right', 'Upper', 'No transpose', 'Unit', M,
+ $ K, ONE, V, LDV, WORK, LDWORK )
*
* C1 := C1 - W
*
DO 180 J = 1, K
- DO 170 I = 1, LASTC
+ DO 170 I = 1, M
C( I, J ) = C( I, J ) - WORK( I, J )
170 CONTINUE
180 CONTINUE
*
* Form H * C or H**T * C where C = ( C1 )
* ( C2 )
-*
- LASTC = ILASLC( M, 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( M-K+J, 1 ), LDC,
- $ WORK( 1, J ), 1 )
+ CALL SCOPY( N, C( M-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, M-K+1 ), LDV,
- $ WORK, LDWORK )
+ CALL STRMM( 'Right', 'Lower', 'Transpose', 'Unit', N, K,
+ $ ONE, V( 1, M-K+1 ), LDV, WORK, LDWORK )
IF( M.GT.K ) THEN
*
* W := W + C1**T * V1**T
*
- CALL SGEMM( 'Transpose', 'Transpose',
- $ LASTC, K, M-K, ONE, C, LDC, V, LDV,
- $ ONE, WORK, LDWORK )
+ CALL SGEMM( 'Transpose', 'Transpose', N, K, M-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 )
+ CALL STRMM( 'Right', 'Lower', TRANST, 'Non-unit', N, K,
+ $ ONE, T, LDT, WORK, LDWORK )
*
* C := C - V**T * W**T
*
*
* C1 := C1 - V1**T * W**T
*
- CALL SGEMM( 'Transpose', 'Transpose',
- $ M-K, LASTC, K, -ONE, V, LDV, WORK, LDWORK,
- $ ONE, C, LDC )
+ CALL SGEMM( 'Transpose', 'Transpose', M-K, N, 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, M-K+1 ), LDV,
- $ WORK, LDWORK )
+ CALL STRMM( 'Right', 'Lower', 'No transpose', 'Unit', N,
+ $ K, ONE, V( 1, M-K+1 ), LDV, WORK, LDWORK )
*
* C2 := C2 - W**T
*
DO 210 J = 1, K
- DO 200 I = 1, LASTC
- C( M-K+J, I ) = C( M-K+J, I ) - WORK(I, J)
+ DO 200 I = 1, N
+ C( M-K+J, I ) = C( M-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 )
-*
- LASTC = ILASLR( M, N, 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, N-K+J ), 1,
- $ WORK( 1, J ), 1 )
+ CALL SCOPY( M, C( 1, N-K+J ), 1, WORK( 1, J ), 1 )
220 CONTINUE
*
* W := W * V2**T
*
- CALL STRMM( 'Right', 'Lower', 'Transpose', 'Unit',
- $ LASTC, K, ONE, V( 1, N-K+1 ), LDV,
- $ WORK, LDWORK )
+ CALL STRMM( 'Right', 'Lower', 'Transpose', 'Unit', M, K,
+ $ ONE, V( 1, N-K+1 ), LDV, WORK, LDWORK )
IF( N.GT.K ) THEN
*
* W := W + C1 * V1**T
*
- CALL SGEMM( 'No transpose', 'Transpose',
- $ LASTC, K, N-K, ONE, C, LDC, V, LDV,
- $ ONE, WORK, LDWORK )
+ CALL SGEMM( 'No transpose', 'Transpose', M, K, N-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 )
+ CALL STRMM( 'Right', 'Lower', TRANS, 'Non-unit', M, K,
+ $ ONE, T, LDT, WORK, LDWORK )
*
* C := C - W * V
*
*
* C1 := C1 - W * V1
*
- CALL SGEMM( 'No transpose', 'No transpose',
- $ LASTC, N-K, K, -ONE, WORK, LDWORK, V, LDV,
- $ ONE, C, LDC )
+ CALL SGEMM( 'No transpose', 'No transpose', M, N-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, N-K+1 ), LDV,
- $ WORK, LDWORK )
+ CALL STRMM( 'Right', 'Lower', 'No transpose', 'Unit', M,
+ $ K, ONE, V( 1, N-K+1 ), LDV, WORK, LDWORK )
*
* C1 := C1 - W
*
DO 240 J = 1, K
- DO 230 I = 1, LASTC
+ DO 230 I = 1, M
C( I, N-K+J ) = C( I, N-K+J ) - WORK( I, J )
230 CONTINUE
240 CONTINUE
*> \author Univ. of Colorado Denver
*> \author NAG Ltd.
*
-*> \date September 2012
+*> \date June 2013
*
*> \ingroup complex16OTHERauxiliary
*
SUBROUTINE ZLARFB( SIDE, TRANS, DIRECT, STOREV, M, N, K, V, LDV,
$ T, LDT, C, LDC, WORK, LDWORK )
*
-* -- LAPACK auxiliary routine (version 3.4.2) --
+* -- LAPACK auxiliary routine (version 3.5.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* September 2012
+* June 2013
*
* .. Scalar Arguments ..
CHARACTER DIRECT, SIDE, STOREV, TRANS
* ..
* .. Local Scalars ..
CHARACTER TRANST
- INTEGER I, J, LASTV, LASTC
+ INTEGER I, J
* ..
* .. External Functions ..
LOGICAL LSAME
- INTEGER ILAZLR, ILAZLC
- EXTERNAL LSAME, ILAZLR, ILAZLC
+ EXTERNAL LSAME
* ..
* .. External Subroutines ..
EXTERNAL ZCOPY, ZGEMM, ZLACGV, ZTRMM
*
* Form H * C or H**H * C where C = ( C1 )
* ( C2 )
-*
- LASTV = MAX( K, ILAZLR( M, K, V, LDV ) )
- LASTC = ILAZLC( LASTV, N, C, LDC )
*
* W := C**H * V = (C1**H * V1 + C2**H * V2) (stored in WORK)
*
* W := C1**H
*
DO 10 J = 1, K
- CALL ZCOPY( LASTC, C( J, 1 ), LDC, WORK( 1, J ), 1 )
- CALL ZLACGV( LASTC, WORK( 1, J ), 1 )
+ CALL ZCOPY( N, C( J, 1 ), LDC, WORK( 1, J ), 1 )
+ CALL ZLACGV( N, WORK( 1, J ), 1 )
10 CONTINUE
*
* W := W * V1
*
- CALL ZTRMM( 'Right', 'Lower', 'No transpose', 'Unit',
- $ LASTC, K, ONE, V, LDV, WORK, LDWORK )
- IF( LASTV.GT.K ) THEN
+ CALL ZTRMM( 'Right', 'Lower', 'No transpose', 'Unit', N,
+ $ K, ONE, V, LDV, WORK, LDWORK )
+ IF( M.GT.K ) THEN
*
-* W := W + C2**H *V2
+* W := W + C2**H * V2
*
- CALL ZGEMM( 'Conjugate transpose', 'No transpose',
- $ LASTC, K, LASTV-K, ONE, C( K+1, 1 ), LDC,
- $ V( K+1, 1 ), LDV, ONE, WORK, LDWORK )
+ CALL ZGEMM( 'Conjugate transpose', 'No transpose', N,
+ $ K, M-K, ONE, C( K+1, 1 ), LDC,
+ $ V( K+1, 1 ), LDV, ONE, WORK, LDWORK )
END IF
*
* W := W * T**H or W * T
*
- CALL ZTRMM( 'Right', 'Upper', TRANST, 'Non-unit',
- $ LASTC, K, ONE, T, LDT, WORK, LDWORK )
+ CALL ZTRMM( 'Right', 'Upper', TRANST, 'Non-unit', N, K,
+ $ ONE, T, LDT, WORK, LDWORK )
*
* C := C - V * W**H
*
* C2 := C2 - V2 * W**H
*
CALL ZGEMM( 'No transpose', 'Conjugate transpose',
- $ LASTV-K, LASTC, K,
- $ -ONE, V( K+1, 1 ), LDV, WORK, LDWORK,
- $ ONE, C( K+1, 1 ), LDC )
+ $ M-K, N, K, -ONE, V( K+1, 1 ), LDV, WORK,
+ $ LDWORK, ONE, C( K+1, 1 ), LDC )
END IF
*
* W := W * V1**H
*
CALL ZTRMM( 'Right', 'Lower', 'Conjugate transpose',
- $ 'Unit', LASTC, K, ONE, V, LDV, WORK, LDWORK )
+ $ 'Unit', N, K, ONE, V, LDV, WORK, LDWORK )
*
* C1 := C1 - W**H
*
DO 30 J = 1, K
- DO 20 I = 1, LASTC
+ DO 20 I = 1, N
C( J, I ) = C( J, I ) - DCONJG( WORK( I, J ) )
20 CONTINUE
30 CONTINUE
ELSE IF( LSAME( SIDE, 'R' ) ) THEN
*
* Form C * H or C * H**H where C = ( C1 C2 )
-*
- LASTV = MAX( K, ILAZLR( N, K, V, LDV ) )
- LASTC = ILAZLR( M, LASTV, C, LDC )
*
* W := C * V = (C1*V1 + C2*V2) (stored in WORK)
*
* W := C1
*
DO 40 J = 1, K
- CALL ZCOPY( LASTC, C( 1, J ), 1, WORK( 1, J ), 1 )
+ CALL ZCOPY( M, C( 1, J ), 1, WORK( 1, J ), 1 )
40 CONTINUE
*
* W := W * V1
*
- CALL ZTRMM( 'Right', 'Lower', 'No transpose', 'Unit',
- $ LASTC, K, ONE, V, LDV, WORK, LDWORK )
- IF( LASTV.GT.K ) THEN
+ CALL ZTRMM( 'Right', 'Lower', 'No transpose', 'Unit', M,
+ $ K, ONE, V, LDV, WORK, LDWORK )
+ IF( N.GT.K ) THEN
*
* W := W + C2 * V2
*
- CALL ZGEMM( 'No transpose', 'No transpose',
- $ LASTC, K, LASTV-K,
- $ ONE, C( 1, K+1 ), LDC, V( K+1, 1 ), LDV,
- $ ONE, WORK, LDWORK )
+ CALL ZGEMM( 'No transpose', 'No transpose', M, K, N-K,
+ $ ONE, C( 1, K+1 ), LDC, V( K+1, 1 ), LDV,
+ $ ONE, WORK, LDWORK )
END IF
*
* W := W * T or W * T**H
*
- CALL ZTRMM( 'Right', 'Upper', TRANS, 'Non-unit',
- $ LASTC, K, ONE, T, LDT, WORK, LDWORK )
+ CALL ZTRMM( 'Right', 'Upper', TRANS, 'Non-unit', M, K,
+ $ ONE, T, LDT, WORK, LDWORK )
*
* C := C - W * V**H
*
- IF( LASTV.GT.K ) THEN
+ IF( N.GT.K ) THEN
*
* C2 := C2 - W * V2**H
*
- CALL ZGEMM( 'No transpose', 'Conjugate transpose',
- $ LASTC, LASTV-K, K,
- $ -ONE, WORK, LDWORK, V( K+1, 1 ), LDV,
- $ ONE, C( 1, K+1 ), LDC )
+ CALL ZGEMM( 'No transpose', 'Conjugate transpose', M,
+ $ N-K, K, -ONE, WORK, LDWORK, V( K+1, 1 ),
+ $ LDV, ONE, C( 1, K+1 ), LDC )
END IF
*
* W := W * V1**H
*
CALL ZTRMM( 'Right', 'Lower', 'Conjugate transpose',
- $ 'Unit', LASTC, K, ONE, V, LDV, WORK, LDWORK )
+ $ 'Unit', M, K, ONE, V, LDV, WORK, LDWORK )
*
* C1 := C1 - W
*
DO 60 J = 1, K
- DO 50 I = 1, LASTC
+ DO 50 I = 1, M
C( I, J ) = C( I, J ) - WORK( I, J )
50 CONTINUE
60 CONTINUE
*
* Form H * C or H**H * C where C = ( C1 )
* ( C2 )
-*
- LASTC = ILAZLC( M, N, C, LDC )
*
* W := C**H * V = (C1**H * V1 + C2**H * V2) (stored in WORK)
*
* W := C2**H
*
DO 70 J = 1, K
- CALL ZCOPY( LASTC, C( M-K+J, 1 ), LDC,
- $ WORK( 1, J ), 1 )
- CALL ZLACGV( LASTC, WORK( 1, J ), 1 )
+ CALL ZCOPY( N, C( M-K+J, 1 ), LDC, WORK( 1, J ), 1 )
+ CALL ZLACGV( N, WORK( 1, J ), 1 )
70 CONTINUE
*
* W := W * V2
*
- CALL ZTRMM( 'Right', 'Upper', 'No transpose', 'Unit',
- $ LASTC, K, ONE, V( M-K+1, 1 ), LDV,
- $ WORK, LDWORK )
+ CALL ZTRMM( 'Right', 'Upper', 'No transpose', 'Unit', N,
+ $ K, ONE, V( M-K+1, 1 ), LDV, WORK, LDWORK )
IF( M.GT.K ) THEN
*
-* W := W + C1**H*V1
+* W := W + C1**H * V1
*
- CALL ZGEMM( 'Conjugate transpose', 'No transpose',
- $ LASTC, K, M-K,
- $ ONE, C, LDC, V, LDV,
- $ ONE, WORK, LDWORK )
+ CALL ZGEMM( 'Conjugate transpose', 'No transpose', N,
+ $ K, M-K, ONE, C, LDC, V, LDV, ONE, WORK,
+ $ LDWORK )
END IF
*
* W := W * T**H or W * T
*
- CALL ZTRMM( 'Right', 'Lower', TRANST, 'Non-unit',
- $ LASTC, K, ONE, T, LDT, WORK, LDWORK )
+ CALL ZTRMM( 'Right', 'Lower', TRANST, 'Non-unit', N, K,
+ $ ONE, T, LDT, WORK, LDWORK )
*
* C := C - V * W**H
*
* C1 := C1 - V1 * W**H
*
CALL ZGEMM( 'No transpose', 'Conjugate transpose',
- $ M-K, LASTC, K,
- $ -ONE, V, LDV, WORK, LDWORK,
- $ ONE, C, LDC )
+ $ M-K, N, K, -ONE, V, LDV, WORK, LDWORK,
+ $ ONE, C, LDC )
END IF
*
* W := W * V2**H
*
CALL ZTRMM( 'Right', 'Upper', 'Conjugate transpose',
- $ 'Unit', LASTC, K, ONE, V( M-K+1, 1 ), LDV,
- $ WORK, LDWORK )
+ $ 'Unit', N, K, ONE, V( M-K+1, 1 ), LDV, WORK,
+ $ LDWORK )
*
* C2 := C2 - W**H
*
DO 90 J = 1, K
- DO 80 I = 1, LASTC
+ DO 80 I = 1, N
C( M-K+J, I ) = C( M-K+J, I ) -
$ DCONJG( WORK( I, J ) )
80 CONTINUE
ELSE IF( LSAME( SIDE, 'R' ) ) THEN
*
* Form C * H or C * H**H where C = ( C1 C2 )
-*
- LASTC = ILAZLR( M, N, C, LDC )
*
* W := C * V = (C1*V1 + C2*V2) (stored in WORK)
*
* W := C2
*
DO 100 J = 1, K
- CALL ZCOPY( LASTC, C( 1, N-K+J ), 1,
- $ WORK( 1, J ), 1 )
+ CALL ZCOPY( M, C( 1, N-K+J ), 1, WORK( 1, J ), 1 )
100 CONTINUE
*
* W := W * V2
*
- CALL ZTRMM( 'Right', 'Upper', 'No transpose', 'Unit',
- $ LASTC, K, ONE, V( N-K+1, 1 ), LDV,
- $ WORK, LDWORK )
+ CALL ZTRMM( 'Right', 'Upper', 'No transpose', 'Unit', M,
+ $ K, ONE, V( N-K+1, 1 ), LDV, WORK, LDWORK )
IF( N.GT.K ) THEN
*
* W := W + C1 * V1
*
- CALL ZGEMM( 'No transpose', 'No transpose',
- $ LASTC, K, N-K,
- $ ONE, C, LDC, V, LDV, ONE, WORK, LDWORK )
+ CALL ZGEMM( 'No transpose', 'No transpose', M, K, N-K,
+ $ ONE, C, LDC, V, LDV, ONE, WORK, LDWORK )
END IF
*
* W := W * T or W * T**H
*
- CALL ZTRMM( 'Right', 'Lower', TRANS, 'Non-unit',
- $ LASTC, K, ONE, T, LDT, WORK, LDWORK )
+ CALL ZTRMM( 'Right', 'Lower', TRANS, 'Non-unit', M, K,
+ $ ONE, T, LDT, WORK, LDWORK )
*
* C := C - W * V**H
*
*
* C1 := C1 - W * V1**H
*
- CALL ZGEMM( 'No transpose', 'Conjugate transpose',
- $ LASTC, N-K, K, -ONE, WORK, LDWORK, V, LDV,
- $ ONE, C, LDC )
+ CALL ZGEMM( 'No transpose', 'Conjugate transpose', M,
+ $ N-K, K, -ONE, WORK, LDWORK, V, LDV, ONE,
+ $ C, LDC )
END IF
*
* W := W * V2**H
*
CALL ZTRMM( 'Right', 'Upper', 'Conjugate transpose',
- $ 'Unit', LASTC, K, ONE, V( N-K+1, 1 ), LDV,
- $ WORK, LDWORK )
+ $ 'Unit', M, K, ONE, V( N-K+1, 1 ), LDV, WORK,
+ $ LDWORK )
*
* C2 := C2 - W
*
DO 120 J = 1, K
- DO 110 I = 1, LASTC
- C( I, N-K+J ) = C( I, N-K+J )
- $ - WORK( I, J )
+ DO 110 I = 1, M
+ C( I, N-K+J ) = C( I, N-K+J ) - WORK( I, J )
110 CONTINUE
120 CONTINUE
END IF
*
* Form H * C or H**H * C where C = ( C1 )
* ( C2 )
-*
- LASTV = MAX( K, ILAZLC( K, M, V, LDV ) )
- LASTC = ILAZLC( LASTV, N, C, LDC )
*
* W := C**H * V**H = (C1**H * V1**H + C2**H * V2**H) (stored in WORK)
*
* W := C1**H
*
DO 130 J = 1, K
- CALL ZCOPY( LASTC, C( J, 1 ), LDC, WORK( 1, J ), 1 )
- CALL ZLACGV( LASTC, WORK( 1, J ), 1 )
+ CALL ZCOPY( N, C( J, 1 ), LDC, WORK( 1, J ), 1 )
+ CALL ZLACGV( N, WORK( 1, J ), 1 )
130 CONTINUE
*
* W := W * V1**H
*
CALL ZTRMM( 'Right', 'Upper', 'Conjugate transpose',
- $ 'Unit', LASTC, K, ONE, V, LDV, WORK, LDWORK )
- IF( LASTV.GT.K ) THEN
+ $ 'Unit', N, K, ONE, V, LDV, WORK, LDWORK )
+ IF( M.GT.K ) THEN
*
-* W := W + C2**H*V2**H
+* W := W + C2**H * V2**H
*
CALL ZGEMM( 'Conjugate transpose',
- $ 'Conjugate transpose', LASTC, K, LASTV-K,
- $ ONE, C( K+1, 1 ), LDC, V( 1, K+1 ), LDV,
- $ ONE, WORK, LDWORK )
+ $ 'Conjugate transpose', N, K, M-K, ONE,
+ $ C( K+1, 1 ), LDC, V( 1, K+1 ), LDV, ONE,
+ $ WORK, LDWORK )
END IF
*
* W := W * T**H or W * T
*
- CALL ZTRMM( 'Right', 'Upper', TRANST, 'Non-unit',
- $ LASTC, K, ONE, T, LDT, WORK, LDWORK )
+ CALL ZTRMM( 'Right', 'Upper', TRANST, 'Non-unit', N, K,
+ $ ONE, T, LDT, WORK, LDWORK )
*
* C := C - V**H * W**H
*
- IF( LASTV.GT.K ) THEN
+ IF( M.GT.K ) THEN
*
* C2 := C2 - V2**H * W**H
*
CALL ZGEMM( 'Conjugate transpose',
- $ 'Conjugate transpose', LASTV-K, LASTC, K,
- $ -ONE, V( 1, K+1 ), LDV, WORK, LDWORK,
- $ ONE, C( K+1, 1 ), LDC )
+ $ 'Conjugate transpose', M-K, N, K, -ONE,
+ $ V( 1, K+1 ), LDV, WORK, LDWORK, ONE,
+ $ C( K+1, 1 ), LDC )
END IF
*
* W := W * V1
*
- CALL ZTRMM( 'Right', 'Upper', 'No transpose', 'Unit',
- $ LASTC, K, ONE, V, LDV, WORK, LDWORK )
+ CALL ZTRMM( 'Right', 'Upper', 'No transpose', 'Unit', N,
+ $ K, ONE, V, LDV, WORK, LDWORK )
*
* C1 := C1 - W**H
*
DO 150 J = 1, K
- DO 140 I = 1, LASTC
+ DO 140 I = 1, N
C( J, I ) = C( J, I ) - DCONJG( WORK( I, J ) )
140 CONTINUE
150 CONTINUE
ELSE IF( LSAME( SIDE, 'R' ) ) THEN
*
* Form C * H or C * H**H where C = ( C1 C2 )
-*
- LASTV = MAX( K, ILAZLC( K, N, V, LDV ) )
- LASTC = ILAZLR( M, LASTV, C, LDC )
*
* W := C * V**H = (C1*V1**H + C2*V2**H) (stored in WORK)
*
* W := C1
*
DO 160 J = 1, K
- CALL ZCOPY( LASTC, C( 1, J ), 1, WORK( 1, J ), 1 )
+ CALL ZCOPY( M, C( 1, J ), 1, WORK( 1, J ), 1 )
160 CONTINUE
*
* W := W * V1**H
*
CALL ZTRMM( 'Right', 'Upper', 'Conjugate transpose',
- $ 'Unit', LASTC, K, ONE, V, LDV, WORK, LDWORK )
- IF( LASTV.GT.K ) THEN
+ $ 'Unit', M, K, ONE, V, LDV, WORK, LDWORK )
+ IF( N.GT.K ) THEN
*
* W := W + C2 * V2**H
*
- CALL ZGEMM( 'No transpose', 'Conjugate transpose',
- $ LASTC, K, LASTV-K, ONE, C( 1, K+1 ), LDC,
- $ V( 1, K+1 ), LDV, ONE, WORK, LDWORK )
+ CALL ZGEMM( 'No transpose', 'Conjugate transpose', M,
+ $ K, N-K, ONE, C( 1, K+1 ), LDC,
+ $ V( 1, K+1 ), LDV, ONE, WORK, LDWORK )
END IF
*
* W := W * T or W * T**H
*
- CALL ZTRMM( 'Right', 'Upper', TRANS, 'Non-unit',
- $ LASTC, K, ONE, T, LDT, WORK, LDWORK )
+ CALL ZTRMM( 'Right', 'Upper', TRANS, 'Non-unit', M, K,
+ $ ONE, T, LDT, WORK, LDWORK )
*
* C := C - W * V
*
- IF( LASTV.GT.K ) THEN
+ IF( N.GT.K ) THEN
*
* C2 := C2 - W * V2
*
- CALL ZGEMM( 'No transpose', 'No transpose',
- $ LASTC, LASTV-K, K,
- $ -ONE, WORK, LDWORK, V( 1, K+1 ), LDV,
- $ ONE, C( 1, K+1 ), LDC )
+ CALL ZGEMM( 'No transpose', 'No transpose', M, N-K, K,
+ $ -ONE, WORK, LDWORK, V( 1, K+1 ), LDV, ONE,
+ $ C( 1, K+1 ), LDC )
END IF
*
* W := W * V1
*
- CALL ZTRMM( 'Right', 'Upper', 'No transpose', 'Unit',
- $ LASTC, K, ONE, V, LDV, WORK, LDWORK )
+ CALL ZTRMM( 'Right', 'Upper', 'No transpose', 'Unit', M,
+ $ K, ONE, V, LDV, WORK, LDWORK )
*
* C1 := C1 - W
*
DO 180 J = 1, K
- DO 170 I = 1, LASTC
+ DO 170 I = 1, M
C( I, J ) = C( I, J ) - WORK( I, J )
170 CONTINUE
180 CONTINUE
*
* Form H * C or H**H * C where C = ( C1 )
* ( C2 )
-*
- LASTC = ILAZLC( M, N, C, LDC )
*
* W := C**H * V**H = (C1**H * V1**H + C2**H * V2**H) (stored in WORK)
*
* W := C2**H
*
DO 190 J = 1, K
- CALL ZCOPY( LASTC, C( M-K+J, 1 ), LDC,
- $ WORK( 1, J ), 1 )
- CALL ZLACGV( LASTC, WORK( 1, J ), 1 )
+ CALL ZCOPY( N, C( M-K+J, 1 ), LDC, WORK( 1, J ), 1 )
+ CALL ZLACGV( N, WORK( 1, J ), 1 )
190 CONTINUE
*
* W := W * V2**H
*
CALL ZTRMM( 'Right', 'Lower', 'Conjugate transpose',
- $ 'Unit', LASTC, K, ONE, V( 1, M-K+1 ), LDV,
- $ WORK, LDWORK )
+ $ 'Unit', N, K, ONE, V( 1, M-K+1 ), LDV, WORK,
+ $ LDWORK )
IF( M.GT.K ) THEN
*
* W := W + C1**H * V1**H
*
CALL ZGEMM( 'Conjugate transpose',
- $ 'Conjugate transpose', LASTC, K, M-K,
- $ ONE, C, LDC, V, LDV, ONE, WORK, LDWORK )
+ $ 'Conjugate transpose', N, K, M-K, ONE, C,
+ $ LDC, V, LDV, ONE, WORK, LDWORK )
END IF
*
* W := W * T**H or W * T
*
- CALL ZTRMM( 'Right', 'Lower', TRANST, 'Non-unit',
- $ LASTC, K, ONE, T, LDT, WORK, LDWORK )
+ CALL ZTRMM( 'Right', 'Lower', TRANST, 'Non-unit', N, K,
+ $ ONE, T, LDT, WORK, LDWORK )
*
* C := C - V**H * W**H
*
* C1 := C1 - V1**H * W**H
*
CALL ZGEMM( 'Conjugate transpose',
- $ 'Conjugate transpose', M-K, LASTC, K,
- $ -ONE, V, LDV, WORK, LDWORK, ONE, C, LDC )
+ $ 'Conjugate transpose', M-K, N, K, -ONE, V,
+ $ LDV, WORK, LDWORK, ONE, C, LDC )
END IF
*
* W := W * V2
*
- CALL ZTRMM( 'Right', 'Lower', 'No transpose', 'Unit',
- $ LASTC, K, ONE, V( 1, M-K+1 ), LDV,
- $ WORK, LDWORK )
+ CALL ZTRMM( 'Right', 'Lower', 'No transpose', 'Unit', N,
+ $ K, ONE, V( 1, M-K+1 ), LDV, WORK, LDWORK )
*
* C2 := C2 - W**H
*
DO 210 J = 1, K
- DO 200 I = 1, LASTC
+ DO 200 I = 1, N
C( M-K+J, I ) = C( M-K+J, I ) -
$ DCONJG( WORK( I, J ) )
200 CONTINUE
ELSE IF( LSAME( SIDE, 'R' ) ) THEN
*
* Form C * H or C * H**H where C = ( C1 C2 )
-*
- LASTC = ILAZLR( M, N, C, LDC )
*
* W := C * V**H = (C1*V1**H + C2*V2**H) (stored in WORK)
*
* W := C2
*
DO 220 J = 1, K
- CALL ZCOPY( LASTC, C( 1, N-K+J ), 1,
- $ WORK( 1, J ), 1 )
+ CALL ZCOPY( M, C( 1, N-K+J ), 1, WORK( 1, J ), 1 )
220 CONTINUE
*
* W := W * V2**H
*
CALL ZTRMM( 'Right', 'Lower', 'Conjugate transpose',
- $ 'Unit', LASTC, K, ONE, V( 1, N-K+1 ), LDV,
- $ WORK, LDWORK )
+ $ 'Unit', M, K, ONE, V( 1, N-K+1 ), LDV, WORK,
+ $ LDWORK )
IF( N.GT.K ) THEN
*
* W := W + C1 * V1**H
*
- CALL ZGEMM( 'No transpose', 'Conjugate transpose',
- $ LASTC, K, N-K, ONE, C, LDC, V, LDV, ONE,
- $ WORK, LDWORK )
+ CALL ZGEMM( 'No transpose', 'Conjugate transpose', M,
+ $ K, N-K, ONE, C, LDC, V, LDV, ONE, WORK,
+ $ LDWORK )
END IF
*
* W := W * T or W * T**H
*
- CALL ZTRMM( 'Right', 'Lower', TRANS, 'Non-unit',
- $ LASTC, K, ONE, T, LDT, WORK, LDWORK )
+ CALL ZTRMM( 'Right', 'Lower', TRANS, 'Non-unit', M, K,
+ $ ONE, T, LDT, WORK, LDWORK )
*
* C := C - W * V
*
*
* C1 := C1 - W * V1
*
- CALL ZGEMM( 'No transpose', 'No transpose',
- $ LASTC, N-K, K, -ONE, WORK, LDWORK, V, LDV,
- $ ONE, C, LDC )
+ CALL ZGEMM( 'No transpose', 'No transpose', M, N-K, K,
+ $ -ONE, WORK, LDWORK, V, LDV, ONE, C, LDC )
END IF
*
* W := W * V2
*
- CALL ZTRMM( 'Right', 'Lower', 'No transpose', 'Unit',
- $ LASTC, K, ONE, V( 1, N-K+1 ), LDV,
- $ WORK, LDWORK )
+ CALL ZTRMM( 'Right', 'Lower', 'No transpose', 'Unit', M,
+ $ K, ONE, V( 1, N-K+1 ), LDV, WORK, LDWORK )
*
* C1 := C1 - W
*
DO 240 J = 1, K
- DO 230 I = 1, LASTC
+ DO 230 I = 1, M
C( I, N-K+J ) = C( I, N-K+J ) - WORK( I, J )
230 CONTINUE
240 CONTINUE