version 1.7, 2010/12/21 13:53:31
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version 1.8, 2011/07/22 07:38:07
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$ T, LDT, C, LDC, WORK, LDWORK ) |
$ T, LDT, C, LDC, WORK, LDWORK ) |
IMPLICIT NONE |
IMPLICIT NONE |
* |
* |
* -- LAPACK auxiliary routine (version 3.2) -- |
* -- LAPACK auxiliary routine (version 3.3.1) -- |
* -- LAPACK is a software package provided by Univ. of Tennessee, -- |
* -- LAPACK is a software package provided by Univ. of Tennessee, -- |
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- |
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- |
* November 2006 |
* -- April 2011 -- |
* |
* |
* .. Scalar Arguments .. |
* .. Scalar Arguments .. |
CHARACTER DIRECT, SIDE, STOREV, TRANS |
CHARACTER DIRECT, SIDE, STOREV, TRANS |
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* Purpose |
* Purpose |
* ======= |
* ======= |
* |
* |
* DLARFB applies a real block reflector H or its transpose H' to a |
* DLARFB 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. |
* real m by n matrix C, from either the left or the right. |
* |
* |
* Arguments |
* Arguments |
* ========= |
* ========= |
* |
* |
* SIDE (input) CHARACTER*1 |
* SIDE (input) CHARACTER*1 |
* = 'L': apply H or H' from the Left |
* = 'L': apply H or H**T from the Left |
* = 'R': apply H or H' from the Right |
* = 'R': apply H or H**T from the Right |
* |
* |
* TRANS (input) CHARACTER*1 |
* TRANS (input) CHARACTER*1 |
* = 'N': apply H (No transpose) |
* = 'N': apply H (No transpose) |
* = 'T': apply H' (Transpose) |
* = 'T': apply H**T (Transpose) |
* |
* |
* DIRECT (input) CHARACTER*1 |
* DIRECT (input) CHARACTER*1 |
* Indicates how H is formed from a product of elementary |
* Indicates how H is formed from a product of elementary |
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* (LDV,K) if STOREV = 'C' |
* (LDV,K) if STOREV = 'C' |
* (LDV,M) if STOREV = 'R' and SIDE = 'L' |
* (LDV,M) if STOREV = 'R' and SIDE = 'L' |
* (LDV,N) if STOREV = 'R' and SIDE = 'R' |
* (LDV,N) if STOREV = 'R' and SIDE = 'R' |
* The matrix V. See further details. |
* The matrix V. See Further Details. |
* |
* |
* LDV (input) INTEGER |
* LDV (input) INTEGER |
* The leading dimension of the array V. |
* The leading dimension of the array V. |
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* |
* |
* C (input/output) DOUBLE PRECISION array, dimension (LDC,N) |
* C (input/output) DOUBLE PRECISION array, dimension (LDC,N) |
* On entry, the m by n matrix C. |
* On entry, the m by n matrix C. |
* On exit, C is overwritten by H*C or H'*C or C*H or C*H'. |
* On exit, C is overwritten by H*C or H**T*C or C*H or C*H**T. |
* |
* |
* LDC (input) INTEGER |
* LDC (input) INTEGER |
* The leading dimension of the array C. LDA >= max(1,M). |
* The leading dimension of the array C. LDC >= max(1,M). |
* |
* |
* WORK (workspace) DOUBLE PRECISION array, dimension (LDWORK,K) |
* WORK (workspace) DOUBLE PRECISION array, dimension (LDWORK,K) |
* |
* |
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* If SIDE = 'L', LDWORK >= max(1,N); |
* If SIDE = 'L', LDWORK >= max(1,N); |
* if SIDE = 'R', LDWORK >= max(1,M). |
* if SIDE = 'R', LDWORK >= max(1,M). |
* |
* |
|
* Further Details |
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* =============== |
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* |
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* The shape of the matrix V and the storage of the vectors which define |
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* the H(i) is best illustrated by the following example with n = 5 and |
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* k = 3. The elements equal to 1 are not stored; the corresponding |
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* array elements are modified but restored on exit. The rest of the |
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* array is not used. |
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* |
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* DIRECT = 'F' and STOREV = 'C': DIRECT = 'F' and STOREV = 'R': |
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* |
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* V = ( 1 ) V = ( 1 v1 v1 v1 v1 ) |
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* ( v1 1 ) ( 1 v2 v2 v2 ) |
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* ( v1 v2 1 ) ( 1 v3 v3 ) |
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* ( v1 v2 v3 ) |
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* ( v1 v2 v3 ) |
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* |
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* DIRECT = 'B' and STOREV = 'C': DIRECT = 'B' and STOREV = 'R': |
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* |
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* V = ( v1 v2 v3 ) V = ( v1 v1 1 ) |
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* ( v1 v2 v3 ) ( v2 v2 v2 1 ) |
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* ( 1 v2 v3 ) ( v3 v3 v3 v3 1 ) |
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* ( 1 v3 ) |
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* ( 1 ) |
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* |
* ===================================================================== |
* ===================================================================== |
* |
* |
* .. Parameters .. |
* .. Parameters .. |
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* |
* |
IF( LSAME( SIDE, 'L' ) ) THEN |
IF( LSAME( SIDE, 'L' ) ) THEN |
* |
* |
* Form H * C or H' * C where C = ( C1 ) |
* Form H * C or H**T * C where C = ( C1 ) |
* ( C2 ) |
* ( C2 ) |
* |
* |
LASTV = MAX( K, ILADLR( M, K, V, LDV ) ) |
LASTV = MAX( K, ILADLR( M, K, V, LDV ) ) |
LASTC = ILADLC( LASTV, N, C, LDC ) |
LASTC = ILADLC( LASTV, N, C, LDC ) |
* |
* |
* W := C' * V = (C1'*V1 + C2'*V2) (stored in WORK) |
* W := C**T * V = (C1**T * V1 + C2**T * V2) (stored in WORK) |
* |
* |
* W := C1' |
* W := C1**T |
* |
* |
DO 10 J = 1, K |
DO 10 J = 1, K |
CALL DCOPY( LASTC, C( J, 1 ), LDC, WORK( 1, J ), 1 ) |
CALL DCOPY( LASTC, C( J, 1 ), LDC, WORK( 1, J ), 1 ) |
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$ LASTC, K, ONE, V, LDV, WORK, LDWORK ) |
$ LASTC, K, ONE, V, LDV, WORK, LDWORK ) |
IF( LASTV.GT.K ) THEN |
IF( LASTV.GT.K ) THEN |
* |
* |
* W := W + C2'*V2 |
* W := W + C2**T *V2 |
* |
* |
CALL DGEMM( 'Transpose', 'No transpose', |
CALL DGEMM( 'Transpose', 'No transpose', |
$ LASTC, K, LASTV-K, |
$ LASTC, K, LASTV-K, |
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$ ONE, WORK, LDWORK ) |
$ ONE, WORK, LDWORK ) |
END IF |
END IF |
* |
* |
* W := W * T' or W * T |
* W := W * T**T or W * T |
* |
* |
CALL DTRMM( 'Right', 'Upper', TRANST, 'Non-unit', |
CALL DTRMM( 'Right', 'Upper', TRANST, 'Non-unit', |
$ LASTC, K, ONE, T, LDT, WORK, LDWORK ) |
$ LASTC, K, ONE, T, LDT, WORK, LDWORK ) |
* |
* |
* C := C - V * W' |
* C := C - V * W**T |
* |
* |
IF( LASTV.GT.K ) THEN |
IF( LASTV.GT.K ) THEN |
* |
* |
* C2 := C2 - V2 * W' |
* C2 := C2 - V2 * W**T |
* |
* |
CALL DGEMM( 'No transpose', 'Transpose', |
CALL DGEMM( 'No transpose', 'Transpose', |
$ LASTV-K, LASTC, K, |
$ LASTV-K, LASTC, K, |
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$ C( K+1, 1 ), LDC ) |
$ C( K+1, 1 ), LDC ) |
END IF |
END IF |
* |
* |
* W := W * V1' |
* W := W * V1**T |
* |
* |
CALL DTRMM( 'Right', 'Lower', 'Transpose', 'Unit', |
CALL DTRMM( 'Right', 'Lower', 'Transpose', 'Unit', |
$ LASTC, K, ONE, V, LDV, WORK, LDWORK ) |
$ LASTC, K, ONE, V, LDV, WORK, LDWORK ) |
* |
* |
* C1 := C1 - W' |
* C1 := C1 - W**T |
* |
* |
DO 30 J = 1, K |
DO 30 J = 1, K |
DO 20 I = 1, LASTC |
DO 20 I = 1, LASTC |
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* |
* |
ELSE IF( LSAME( SIDE, 'R' ) ) THEN |
ELSE IF( LSAME( SIDE, 'R' ) ) THEN |
* |
* |
* Form C * H or C * H' where C = ( C1 C2 ) |
* Form C * H or C * H**T where C = ( C1 C2 ) |
* |
* |
LASTV = MAX( K, ILADLR( N, K, V, LDV ) ) |
LASTV = MAX( K, ILADLR( N, K, V, LDV ) ) |
LASTC = ILADLR( M, LASTV, C, LDC ) |
LASTC = ILADLR( M, LASTV, C, LDC ) |
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$ ONE, WORK, LDWORK ) |
$ ONE, WORK, LDWORK ) |
END IF |
END IF |
* |
* |
* W := W * T or W * T' |
* W := W * T or W * T**T |
* |
* |
CALL DTRMM( 'Right', 'Upper', TRANS, 'Non-unit', |
CALL DTRMM( 'Right', 'Upper', TRANS, 'Non-unit', |
$ LASTC, K, ONE, T, LDT, WORK, LDWORK ) |
$ LASTC, K, ONE, T, LDT, WORK, LDWORK ) |
* |
* |
* C := C - W * V' |
* C := C - W * V**T |
* |
* |
IF( LASTV.GT.K ) THEN |
IF( LASTV.GT.K ) THEN |
* |
* |
* C2 := C2 - W * V2' |
* C2 := C2 - W * V2**T |
* |
* |
CALL DGEMM( 'No transpose', 'Transpose', |
CALL DGEMM( 'No transpose', 'Transpose', |
$ LASTC, LASTV-K, K, |
$ LASTC, LASTV-K, K, |
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$ C( 1, K+1 ), LDC ) |
$ C( 1, K+1 ), LDC ) |
END IF |
END IF |
* |
* |
* W := W * V1' |
* W := W * V1**T |
* |
* |
CALL DTRMM( 'Right', 'Lower', 'Transpose', 'Unit', |
CALL DTRMM( 'Right', 'Lower', 'Transpose', 'Unit', |
$ LASTC, K, ONE, V, LDV, WORK, LDWORK ) |
$ LASTC, K, ONE, V, LDV, WORK, LDWORK ) |
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* |
* |
IF( LSAME( SIDE, 'L' ) ) THEN |
IF( LSAME( SIDE, 'L' ) ) THEN |
* |
* |
* Form H * C or H' * C where C = ( C1 ) |
* Form H * C or H**T * C where C = ( C1 ) |
* ( C2 ) |
* ( C2 ) |
* |
* |
LASTV = MAX( K, ILADLR( M, K, V, LDV ) ) |
LASTV = MAX( K, ILADLR( M, K, V, LDV ) ) |
LASTC = ILADLC( LASTV, N, C, LDC ) |
LASTC = ILADLC( LASTV, N, C, LDC ) |
* |
* |
* W := C' * V = (C1'*V1 + C2'*V2) (stored in WORK) |
* W := C**T * V = (C1**T * V1 + C2**T * V2) (stored in WORK) |
* |
* |
* W := C2' |
* W := C2**T |
* |
* |
DO 70 J = 1, K |
DO 70 J = 1, K |
CALL DCOPY( LASTC, C( LASTV-K+J, 1 ), LDC, |
CALL DCOPY( LASTC, C( LASTV-K+J, 1 ), LDC, |
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$ WORK, LDWORK ) |
$ WORK, LDWORK ) |
IF( LASTV.GT.K ) THEN |
IF( LASTV.GT.K ) THEN |
* |
* |
* W := W + C1'*V1 |
* W := W + C1**T*V1 |
* |
* |
CALL DGEMM( 'Transpose', 'No transpose', |
CALL DGEMM( 'Transpose', 'No transpose', |
$ LASTC, K, LASTV-K, ONE, C, LDC, V, LDV, |
$ LASTC, K, LASTV-K, ONE, C, LDC, V, LDV, |
$ ONE, WORK, LDWORK ) |
$ ONE, WORK, LDWORK ) |
END IF |
END IF |
* |
* |
* W := W * T' or W * T |
* W := W * T**T or W * T |
* |
* |
CALL DTRMM( 'Right', 'Lower', TRANST, 'Non-unit', |
CALL DTRMM( 'Right', 'Lower', TRANST, 'Non-unit', |
$ LASTC, K, ONE, T, LDT, WORK, LDWORK ) |
$ LASTC, K, ONE, T, LDT, WORK, LDWORK ) |
* |
* |
* C := C - V * W' |
* C := C - V * W**T |
* |
* |
IF( LASTV.GT.K ) THEN |
IF( LASTV.GT.K ) THEN |
* |
* |
* C1 := C1 - V1 * W' |
* C1 := C1 - V1 * W**T |
* |
* |
CALL DGEMM( 'No transpose', 'Transpose', |
CALL DGEMM( 'No transpose', 'Transpose', |
$ LASTV-K, LASTC, K, -ONE, V, LDV, WORK, LDWORK, |
$ LASTV-K, LASTC, K, -ONE, V, LDV, WORK, LDWORK, |
$ ONE, C, LDC ) |
$ ONE, C, LDC ) |
END IF |
END IF |
* |
* |
* W := W * V2' |
* W := W * V2**T |
* |
* |
CALL DTRMM( 'Right', 'Upper', 'Transpose', 'Unit', |
CALL DTRMM( 'Right', 'Upper', 'Transpose', 'Unit', |
$ LASTC, K, ONE, V( LASTV-K+1, 1 ), LDV, |
$ LASTC, K, ONE, V( LASTV-K+1, 1 ), LDV, |
$ WORK, LDWORK ) |
$ WORK, LDWORK ) |
* |
* |
* C2 := C2 - W' |
* C2 := C2 - W**T |
* |
* |
DO 90 J = 1, K |
DO 90 J = 1, K |
DO 80 I = 1, LASTC |
DO 80 I = 1, LASTC |
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* |
* |
ELSE IF( LSAME( SIDE, 'R' ) ) THEN |
ELSE IF( LSAME( SIDE, 'R' ) ) THEN |
* |
* |
* Form C * H or C * H' where C = ( C1 C2 ) |
* Form C * H or C * H**T where C = ( C1 C2 ) |
* |
* |
LASTV = MAX( K, ILADLR( N, K, V, LDV ) ) |
LASTV = MAX( K, ILADLR( N, K, V, LDV ) ) |
LASTC = ILADLR( M, LASTV, C, LDC ) |
LASTC = ILADLR( M, LASTV, C, LDC ) |
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$ ONE, WORK, LDWORK ) |
$ ONE, WORK, LDWORK ) |
END IF |
END IF |
* |
* |
* W := W * T or W * T' |
* W := W * T or W * T**T |
* |
* |
CALL DTRMM( 'Right', 'Lower', TRANS, 'Non-unit', |
CALL DTRMM( 'Right', 'Lower', TRANS, 'Non-unit', |
$ LASTC, K, ONE, T, LDT, WORK, LDWORK ) |
$ LASTC, K, ONE, T, LDT, WORK, LDWORK ) |
* |
* |
* C := C - W * V' |
* C := C - W * V**T |
* |
* |
IF( LASTV.GT.K ) THEN |
IF( LASTV.GT.K ) THEN |
* |
* |
* C1 := C1 - W * V1' |
* C1 := C1 - W * V1**T |
* |
* |
CALL DGEMM( 'No transpose', 'Transpose', |
CALL DGEMM( 'No transpose', 'Transpose', |
$ LASTC, LASTV-K, K, -ONE, WORK, LDWORK, V, LDV, |
$ LASTC, LASTV-K, K, -ONE, WORK, LDWORK, V, LDV, |
$ ONE, C, LDC ) |
$ ONE, C, LDC ) |
END IF |
END IF |
* |
* |
* W := W * V2' |
* W := W * V2**T |
* |
* |
CALL DTRMM( 'Right', 'Upper', 'Transpose', 'Unit', |
CALL DTRMM( 'Right', 'Upper', 'Transpose', 'Unit', |
$ LASTC, K, ONE, V( LASTV-K+1, 1 ), LDV, |
$ LASTC, K, ONE, V( LASTV-K+1, 1 ), LDV, |
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* |
* |
IF( LSAME( SIDE, 'L' ) ) THEN |
IF( LSAME( SIDE, 'L' ) ) THEN |
* |
* |
* Form H * C or H' * C where C = ( C1 ) |
* Form H * C or H**T * C where C = ( C1 ) |
* ( C2 ) |
* ( C2 ) |
* |
* |
LASTV = MAX( K, ILADLC( K, M, V, LDV ) ) |
LASTV = MAX( K, ILADLC( K, M, V, LDV ) ) |
LASTC = ILADLC( LASTV, N, C, LDC ) |
LASTC = ILADLC( LASTV, N, C, LDC ) |
* |
* |
* W := C' * V' = (C1'*V1' + C2'*V2') (stored in WORK) |
* W := C**T * V**T = (C1**T * V1**T + C2**T * V2**T) (stored in WORK) |
* |
* |
* W := C1' |
* W := C1**T |
* |
* |
DO 130 J = 1, K |
DO 130 J = 1, K |
CALL DCOPY( LASTC, C( J, 1 ), LDC, WORK( 1, J ), 1 ) |
CALL DCOPY( LASTC, C( J, 1 ), LDC, WORK( 1, J ), 1 ) |
130 CONTINUE |
130 CONTINUE |
* |
* |
* W := W * V1' |
* W := W * V1**T |
* |
* |
CALL DTRMM( 'Right', 'Upper', 'Transpose', 'Unit', |
CALL DTRMM( 'Right', 'Upper', 'Transpose', 'Unit', |
$ LASTC, K, ONE, V, LDV, WORK, LDWORK ) |
$ LASTC, K, ONE, V, LDV, WORK, LDWORK ) |
IF( LASTV.GT.K ) THEN |
IF( LASTV.GT.K ) THEN |
* |
* |
* W := W + C2'*V2' |
* W := W + C2**T*V2**T |
* |
* |
CALL DGEMM( 'Transpose', 'Transpose', |
CALL DGEMM( 'Transpose', 'Transpose', |
$ LASTC, K, LASTV-K, |
$ LASTC, K, LASTV-K, |
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$ ONE, WORK, LDWORK ) |
$ ONE, WORK, LDWORK ) |
END IF |
END IF |
* |
* |
* W := W * T' or W * T |
* W := W * T**T or W * T |
* |
* |
CALL DTRMM( 'Right', 'Upper', TRANST, 'Non-unit', |
CALL DTRMM( 'Right', 'Upper', TRANST, 'Non-unit', |
$ LASTC, K, ONE, T, LDT, WORK, LDWORK ) |
$ LASTC, K, ONE, T, LDT, WORK, LDWORK ) |
* |
* |
* C := C - V' * W' |
* C := C - V**T * W**T |
* |
* |
IF( LASTV.GT.K ) THEN |
IF( LASTV.GT.K ) THEN |
* |
* |
* C2 := C2 - V2' * W' |
* C2 := C2 - V2**T * W**T |
* |
* |
CALL DGEMM( 'Transpose', 'Transpose', |
CALL DGEMM( 'Transpose', 'Transpose', |
$ LASTV-K, LASTC, K, |
$ LASTV-K, LASTC, K, |
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CALL DTRMM( 'Right', 'Upper', 'No transpose', 'Unit', |
CALL DTRMM( 'Right', 'Upper', 'No transpose', 'Unit', |
$ LASTC, K, ONE, V, LDV, WORK, LDWORK ) |
$ LASTC, K, ONE, V, LDV, WORK, LDWORK ) |
* |
* |
* C1 := C1 - W' |
* C1 := C1 - W**T |
* |
* |
DO 150 J = 1, K |
DO 150 J = 1, K |
DO 140 I = 1, LASTC |
DO 140 I = 1, LASTC |
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* |
* |
ELSE IF( LSAME( SIDE, 'R' ) ) THEN |
ELSE IF( LSAME( SIDE, 'R' ) ) THEN |
* |
* |
* Form C * H or C * H' where C = ( C1 C2 ) |
* Form C * H or C * H**T where C = ( C1 C2 ) |
* |
* |
LASTV = MAX( K, ILADLC( K, N, V, LDV ) ) |
LASTV = MAX( K, ILADLC( K, N, V, LDV ) ) |
LASTC = ILADLR( M, LASTV, C, LDC ) |
LASTC = ILADLR( M, LASTV, C, LDC ) |
* |
* |
* W := C * V' = (C1*V1' + C2*V2') (stored in WORK) |
* W := C * V**T = (C1*V1**T + C2*V2**T) (stored in WORK) |
* |
* |
* W := C1 |
* W := C1 |
* |
* |
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CALL DCOPY( LASTC, C( 1, J ), 1, WORK( 1, J ), 1 ) |
CALL DCOPY( LASTC, C( 1, J ), 1, WORK( 1, J ), 1 ) |
160 CONTINUE |
160 CONTINUE |
* |
* |
* W := W * V1' |
* W := W * V1**T |
* |
* |
CALL DTRMM( 'Right', 'Upper', 'Transpose', 'Unit', |
CALL DTRMM( 'Right', 'Upper', 'Transpose', 'Unit', |
$ LASTC, K, ONE, V, LDV, WORK, LDWORK ) |
$ LASTC, K, ONE, V, LDV, WORK, LDWORK ) |
IF( LASTV.GT.K ) THEN |
IF( LASTV.GT.K ) THEN |
* |
* |
* W := W + C2 * V2' |
* W := W + C2 * V2**T |
* |
* |
CALL DGEMM( 'No transpose', 'Transpose', |
CALL DGEMM( 'No transpose', 'Transpose', |
$ LASTC, K, LASTV-K, |
$ LASTC, K, LASTV-K, |
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$ ONE, WORK, LDWORK ) |
$ ONE, WORK, LDWORK ) |
END IF |
END IF |
* |
* |
* W := W * T or W * T' |
* W := W * T or W * T**T |
* |
* |
CALL DTRMM( 'Right', 'Upper', TRANS, 'Non-unit', |
CALL DTRMM( 'Right', 'Upper', TRANS, 'Non-unit', |
$ LASTC, K, ONE, T, LDT, WORK, LDWORK ) |
$ LASTC, K, ONE, T, LDT, WORK, LDWORK ) |
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* |
* |
IF( LSAME( SIDE, 'L' ) ) THEN |
IF( LSAME( SIDE, 'L' ) ) THEN |
* |
* |
* Form H * C or H' * C where C = ( C1 ) |
* Form H * C or H**T * C where C = ( C1 ) |
* ( C2 ) |
* ( C2 ) |
* |
* |
LASTV = MAX( K, ILADLC( K, M, V, LDV ) ) |
LASTV = MAX( K, ILADLC( K, M, V, LDV ) ) |
LASTC = ILADLC( LASTV, N, C, LDC ) |
LASTC = ILADLC( LASTV, N, C, LDC ) |
* |
* |
* W := C' * V' = (C1'*V1' + C2'*V2') (stored in WORK) |
* W := C**T * V**T = (C1**T * V1**T + C2**T * V2**T) (stored in WORK) |
* |
* |
* W := C2' |
* W := C2**T |
* |
* |
DO 190 J = 1, K |
DO 190 J = 1, K |
CALL DCOPY( LASTC, C( LASTV-K+J, 1 ), LDC, |
CALL DCOPY( LASTC, C( LASTV-K+J, 1 ), LDC, |
$ WORK( 1, J ), 1 ) |
$ WORK( 1, J ), 1 ) |
190 CONTINUE |
190 CONTINUE |
* |
* |
* W := W * V2' |
* W := W * V2**T |
* |
* |
CALL DTRMM( 'Right', 'Lower', 'Transpose', 'Unit', |
CALL DTRMM( 'Right', 'Lower', 'Transpose', 'Unit', |
$ LASTC, K, ONE, V( 1, LASTV-K+1 ), LDV, |
$ LASTC, K, ONE, V( 1, LASTV-K+1 ), LDV, |
$ WORK, LDWORK ) |
$ WORK, LDWORK ) |
IF( LASTV.GT.K ) THEN |
IF( LASTV.GT.K ) THEN |
* |
* |
* W := W + C1'*V1' |
* W := W + C1**T * V1**T |
* |
* |
CALL DGEMM( 'Transpose', 'Transpose', |
CALL DGEMM( 'Transpose', 'Transpose', |
$ LASTC, K, LASTV-K, ONE, C, LDC, V, LDV, |
$ LASTC, K, LASTV-K, ONE, C, LDC, V, LDV, |
$ ONE, WORK, LDWORK ) |
$ ONE, WORK, LDWORK ) |
END IF |
END IF |
* |
* |
* W := W * T' or W * T |
* W := W * T**T or W * T |
* |
* |
CALL DTRMM( 'Right', 'Lower', TRANST, 'Non-unit', |
CALL DTRMM( 'Right', 'Lower', TRANST, 'Non-unit', |
$ LASTC, K, ONE, T, LDT, WORK, LDWORK ) |
$ LASTC, K, ONE, T, LDT, WORK, LDWORK ) |
* |
* |
* C := C - V' * W' |
* C := C - V**T * W**T |
* |
* |
IF( LASTV.GT.K ) THEN |
IF( LASTV.GT.K ) THEN |
* |
* |
* C1 := C1 - V1' * W' |
* C1 := C1 - V1**T * W**T |
* |
* |
CALL DGEMM( 'Transpose', 'Transpose', |
CALL DGEMM( 'Transpose', 'Transpose', |
$ LASTV-K, LASTC, K, -ONE, V, LDV, WORK, LDWORK, |
$ LASTV-K, LASTC, K, -ONE, V, LDV, WORK, LDWORK, |
Line 561
|
Line 586
|
$ LASTC, K, ONE, V( 1, LASTV-K+1 ), LDV, |
$ LASTC, K, ONE, V( 1, LASTV-K+1 ), LDV, |
$ WORK, LDWORK ) |
$ WORK, LDWORK ) |
* |
* |
* C2 := C2 - W' |
* C2 := C2 - W**T |
* |
* |
DO 210 J = 1, K |
DO 210 J = 1, K |
DO 200 I = 1, LASTC |
DO 200 I = 1, LASTC |
Line 571
|
Line 596
|
* |
* |
ELSE IF( LSAME( SIDE, 'R' ) ) THEN |
ELSE IF( LSAME( SIDE, 'R' ) ) THEN |
* |
* |
* Form C * H or C * H' where C = ( C1 C2 ) |
* Form C * H or C * H**T where C = ( C1 C2 ) |
* |
* |
LASTV = MAX( K, ILADLC( K, N, V, LDV ) ) |
LASTV = MAX( K, ILADLC( K, N, V, LDV ) ) |
LASTC = ILADLR( M, LASTV, C, LDC ) |
LASTC = ILADLR( M, LASTV, C, LDC ) |
* |
* |
* W := C * V' = (C1*V1' + C2*V2') (stored in WORK) |
* W := C * V**T = (C1*V1**T + C2*V2**T) (stored in WORK) |
* |
* |
* W := C2 |
* W := C2 |
* |
* |
Line 585
|
Line 610
|
$ WORK( 1, J ), 1 ) |
$ WORK( 1, J ), 1 ) |
220 CONTINUE |
220 CONTINUE |
* |
* |
* W := W * V2' |
* W := W * V2**T |
* |
* |
CALL DTRMM( 'Right', 'Lower', 'Transpose', 'Unit', |
CALL DTRMM( 'Right', 'Lower', 'Transpose', 'Unit', |
$ LASTC, K, ONE, V( 1, LASTV-K+1 ), LDV, |
$ LASTC, K, ONE, V( 1, LASTV-K+1 ), LDV, |
$ WORK, LDWORK ) |
$ WORK, LDWORK ) |
IF( LASTV.GT.K ) THEN |
IF( LASTV.GT.K ) THEN |
* |
* |
* W := W + C1 * V1' |
* W := W + C1 * V1**T |
* |
* |
CALL DGEMM( 'No transpose', 'Transpose', |
CALL DGEMM( 'No transpose', 'Transpose', |
$ LASTC, K, LASTV-K, ONE, C, LDC, V, LDV, |
$ LASTC, K, LASTV-K, ONE, C, LDC, V, LDV, |
$ ONE, WORK, LDWORK ) |
$ ONE, WORK, LDWORK ) |
END IF |
END IF |
* |
* |
* W := W * T or W * T' |
* W := W * T or W * T**T |
* |
* |
CALL DTRMM( 'Right', 'Lower', TRANS, 'Non-unit', |
CALL DTRMM( 'Right', 'Lower', TRANS, 'Non-unit', |
$ LASTC, K, ONE, T, LDT, WORK, LDWORK ) |
$ LASTC, K, ONE, T, LDT, WORK, LDWORK ) |