version 1.2, 2010/04/21 13:45:35
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version 1.8, 2011/07/22 07:38:18
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SUBROUTINE ZLARZB( SIDE, TRANS, DIRECT, STOREV, M, N, K, L, V, |
SUBROUTINE ZLARZB( SIDE, TRANS, DIRECT, STOREV, M, N, K, L, V, |
$ LDV, T, LDT, C, LDC, WORK, LDWORK ) |
$ LDV, T, LDT, C, LDC, WORK, LDWORK ) |
* |
* |
* -- LAPACK routine (version 3.2) -- |
* -- LAPACK 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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* ========= |
* ========= |
* |
* |
* SIDE (input) CHARACTER*1 |
* SIDE (input) CHARACTER*1 |
* = 'L': apply H or H' from the Left |
* = 'L': apply H or H**H from the Left |
* = 'R': apply H or H' from the Right |
* = 'R': apply H or H**H from the Right |
* |
* |
* TRANS (input) CHARACTER*1 |
* TRANS (input) CHARACTER*1 |
* = 'N': apply H (No transpose) |
* = 'N': apply H (No transpose) |
* = 'C': apply H' (Conjugate transpose) |
* = 'C': apply H**H (Conjugate 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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* |
* |
* C (input/output) COMPLEX*16 array, dimension (LDC,N) |
* C (input/output) COMPLEX*16 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**H*C or C*H or C*H**H. |
* |
* |
* LDC (input) INTEGER |
* LDC (input) INTEGER |
* The leading dimension of the array C. LDC >= max(1,M). |
* The leading dimension of the array C. LDC >= max(1,M). |
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* |
* |
IF( LSAME( SIDE, 'L' ) ) THEN |
IF( LSAME( SIDE, 'L' ) ) THEN |
* |
* |
* Form H * C or H' * C |
* Form H * C or H**H * C |
* |
* |
* W( 1:n, 1:k ) = conjg( C( 1:k, 1:n )' ) |
* W( 1:n, 1:k ) = C( 1:k, 1:n )**H |
* |
* |
DO 10 J = 1, K |
DO 10 J = 1, K |
CALL ZCOPY( N, C( J, 1 ), LDC, WORK( 1, J ), 1 ) |
CALL ZCOPY( N, C( J, 1 ), LDC, WORK( 1, J ), 1 ) |
10 CONTINUE |
10 CONTINUE |
* |
* |
* W( 1:n, 1:k ) = W( 1:n, 1:k ) + ... |
* W( 1:n, 1:k ) = W( 1:n, 1:k ) + ... |
* conjg( C( m-l+1:m, 1:n )' ) * V( 1:k, 1:l )' |
* C( m-l+1:m, 1:n )**H * V( 1:k, 1:l )**T |
* |
* |
IF( L.GT.0 ) |
IF( L.GT.0 ) |
$ CALL ZGEMM( 'Transpose', 'Conjugate transpose', N, K, L, |
$ CALL ZGEMM( 'Transpose', 'Conjugate transpose', N, K, L, |
$ ONE, C( M-L+1, 1 ), LDC, V, LDV, ONE, WORK, |
$ ONE, C( M-L+1, 1 ), LDC, V, LDV, ONE, WORK, |
$ LDWORK ) |
$ LDWORK ) |
* |
* |
* W( 1:n, 1:k ) = W( 1:n, 1:k ) * T' or W( 1:m, 1:k ) * T |
* W( 1:n, 1:k ) = W( 1:n, 1:k ) * T**T or W( 1:m, 1:k ) * T |
* |
* |
CALL ZTRMM( 'Right', 'Lower', TRANST, 'Non-unit', N, K, ONE, T, |
CALL ZTRMM( 'Right', 'Lower', TRANST, 'Non-unit', N, K, ONE, T, |
$ LDT, WORK, LDWORK ) |
$ LDT, WORK, LDWORK ) |
* |
* |
* C( 1:k, 1:n ) = C( 1:k, 1:n ) - conjg( W( 1:n, 1:k )' ) |
* C( 1:k, 1:n ) = C( 1:k, 1:n ) - W( 1:n, 1:k )**H |
* |
* |
DO 30 J = 1, N |
DO 30 J = 1, N |
DO 20 I = 1, K |
DO 20 I = 1, K |
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30 CONTINUE |
30 CONTINUE |
* |
* |
* C( m-l+1:m, 1:n ) = C( m-l+1:m, 1:n ) - ... |
* C( m-l+1:m, 1:n ) = C( m-l+1:m, 1:n ) - ... |
* conjg( V( 1:k, 1:l )' ) * conjg( W( 1:n, 1:k )' ) |
* V( 1:k, 1:l )**H * W( 1:n, 1:k )**H |
* |
* |
IF( L.GT.0 ) |
IF( L.GT.0 ) |
$ CALL ZGEMM( 'Transpose', 'Transpose', L, N, K, -ONE, V, LDV, |
$ CALL ZGEMM( 'Transpose', 'Transpose', L, N, K, -ONE, V, LDV, |
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* |
* |
ELSE IF( LSAME( SIDE, 'R' ) ) THEN |
ELSE IF( LSAME( SIDE, 'R' ) ) THEN |
* |
* |
* Form C * H or C * H' |
* Form C * H or C * H**H |
* |
* |
* W( 1:m, 1:k ) = C( 1:m, 1:k ) |
* W( 1:m, 1:k ) = C( 1:m, 1:k ) |
* |
* |
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40 CONTINUE |
40 CONTINUE |
* |
* |
* W( 1:m, 1:k ) = W( 1:m, 1:k ) + ... |
* W( 1:m, 1:k ) = W( 1:m, 1:k ) + ... |
* C( 1:m, n-l+1:n ) * conjg( V( 1:k, 1:l )' ) |
* C( 1:m, n-l+1:n ) * V( 1:k, 1:l )**H |
* |
* |
IF( L.GT.0 ) |
IF( L.GT.0 ) |
$ CALL ZGEMM( 'No transpose', 'Transpose', M, K, L, ONE, |
$ CALL ZGEMM( 'No transpose', 'Transpose', M, K, L, ONE, |
$ C( 1, N-L+1 ), LDC, V, LDV, ONE, WORK, LDWORK ) |
$ C( 1, N-L+1 ), LDC, V, LDV, ONE, WORK, LDWORK ) |
* |
* |
* W( 1:m, 1:k ) = W( 1:m, 1:k ) * conjg( T ) or |
* W( 1:m, 1:k ) = W( 1:m, 1:k ) * conjg( T ) or |
* W( 1:m, 1:k ) * conjg( T' ) |
* W( 1:m, 1:k ) * T**H |
* |
* |
DO 50 J = 1, K |
DO 50 J = 1, K |
CALL ZLACGV( K-J+1, T( J, J ), 1 ) |
CALL ZLACGV( K-J+1, T( J, J ), 1 ) |