version 1.14, 2012/12/14 14:22:52
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version 1.22, 2023/08/07 08:39:31
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* |
* |
* =========== DOCUMENTATION =========== |
* =========== DOCUMENTATION =========== |
* |
* |
* Online html documentation available at |
* Online html documentation available at |
* http://www.netlib.org/lapack/explore-html/ |
* http://www.netlib.org/lapack/explore-html/ |
* |
* |
*> \htmlonly |
*> \htmlonly |
*> Download ZLARFT + dependencies |
*> Download ZLARFT + dependencies |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zlarft.f"> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zlarft.f"> |
*> [TGZ]</a> |
*> [TGZ]</a> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zlarft.f"> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zlarft.f"> |
*> [ZIP]</a> |
*> [ZIP]</a> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zlarft.f"> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zlarft.f"> |
*> [TXT]</a> |
*> [TXT]</a> |
*> \endhtmlonly |
*> \endhtmlonly |
* |
* |
* Definition: |
* Definition: |
* =========== |
* =========== |
* |
* |
* SUBROUTINE ZLARFT( DIRECT, STOREV, N, K, V, LDV, TAU, T, LDT ) |
* SUBROUTINE ZLARFT( DIRECT, STOREV, N, K, V, LDV, TAU, T, LDT ) |
* |
* |
* .. Scalar Arguments .. |
* .. Scalar Arguments .. |
* CHARACTER DIRECT, STOREV |
* CHARACTER DIRECT, STOREV |
* INTEGER K, LDT, LDV, N |
* INTEGER K, LDT, LDV, N |
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* .. Array Arguments .. |
* .. Array Arguments .. |
* COMPLEX*16 T( LDT, * ), TAU( * ), V( LDV, * ) |
* COMPLEX*16 T( LDT, * ), TAU( * ), V( LDV, * ) |
* .. |
* .. |
* |
* |
* |
* |
*> \par Purpose: |
*> \par Purpose: |
* ============= |
* ============= |
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* Authors: |
* Authors: |
* ======== |
* ======== |
* |
* |
*> \author Univ. of Tennessee |
*> \author Univ. of Tennessee |
*> \author Univ. of California Berkeley |
*> \author Univ. of California Berkeley |
*> \author Univ. of Colorado Denver |
*> \author Univ. of Colorado Denver |
*> \author NAG Ltd. |
*> \author NAG Ltd. |
* |
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*> \date September 2012 |
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* |
* |
*> \ingroup complex16OTHERauxiliary |
*> \ingroup complex16OTHERauxiliary |
* |
* |
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* ===================================================================== |
* ===================================================================== |
SUBROUTINE ZLARFT( DIRECT, STOREV, N, K, V, LDV, TAU, T, LDT ) |
SUBROUTINE ZLARFT( DIRECT, STOREV, N, K, V, LDV, TAU, T, LDT ) |
* |
* |
* -- LAPACK auxiliary routine (version 3.4.2) -- |
* -- LAPACK auxiliary routine -- |
* -- 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..-- |
* September 2012 |
|
* |
* |
* .. Scalar Arguments .. |
* .. Scalar Arguments .. |
CHARACTER DIRECT, STOREV |
CHARACTER DIRECT, STOREV |
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INTEGER I, J, PREVLASTV, LASTV |
INTEGER I, J, PREVLASTV, LASTV |
* .. |
* .. |
* .. External Subroutines .. |
* .. External Subroutines .. |
EXTERNAL ZGEMV, ZLACGV, ZTRMV |
EXTERNAL ZGEMV, ZTRMV, ZGEMM |
* .. |
* .. |
* .. External Functions .. |
* .. External Functions .. |
LOGICAL LSAME |
LOGICAL LSAME |
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END DO |
END DO |
DO J = 1, I-1 |
DO J = 1, I-1 |
T( J, I ) = -TAU( I ) * CONJG( V( I , J ) ) |
T( J, I ) = -TAU( I ) * CONJG( V( I , J ) ) |
END DO |
END DO |
J = MIN( LASTV, PREVLASTV ) |
J = MIN( LASTV, PREVLASTV ) |
* |
* |
* T(1:i-1,i) := - tau(i) * V(i:j,1:i-1)**H * V(i:j,i) |
* T(1:i-1,i) := - tau(i) * V(i:j,1:i-1)**H * V(i:j,i) |
* |
* |
CALL ZGEMV( 'Conjugate transpose', J-I, I-1, |
CALL ZGEMV( 'Conjugate transpose', J-I, I-1, |
$ -TAU( I ), V( I+1, 1 ), LDV, |
$ -TAU( I ), V( I+1, 1 ), LDV, |
$ V( I+1, I ), 1, ONE, T( 1, I ), 1 ) |
$ V( I+1, I ), 1, ONE, T( 1, I ), 1 ) |
ELSE |
ELSE |
* Skip any trailing zeros. |
* Skip any trailing zeros. |
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END DO |
END DO |
DO J = 1, I-1 |
DO J = 1, I-1 |
T( J, I ) = -TAU( I ) * V( J , I ) |
T( J, I ) = -TAU( I ) * V( J , I ) |
END DO |
END DO |
J = MIN( LASTV, PREVLASTV ) |
J = MIN( LASTV, PREVLASTV ) |
* |
* |
* T(1:i-1,i) := - tau(i) * V(1:i-1,i:j) * V(i,i:j)**H |
* T(1:i-1,i) := - tau(i) * V(1:i-1,i:j) * V(i,i:j)**H |
* |
* |
CALL ZGEMM( 'N', 'C', I-1, 1, J-I, -TAU( I ), |
CALL ZGEMM( 'N', 'C', I-1, 1, J-I, -TAU( I ), |
$ V( 1, I+1 ), LDV, V( I, I+1 ), LDV, |
$ V( 1, I+1 ), LDV, V( I, I+1 ), LDV, |
$ ONE, T( 1, I ), LDT ) |
$ ONE, T( 1, I ), LDT ) |
END IF |
END IF |
* |
* |
* T(1:i-1,i) := T(1:i-1,1:i-1) * T(1:i-1,i) |
* T(1:i-1,i) := T(1:i-1,1:i-1) * T(1:i-1,i) |
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END DO |
END DO |
DO J = I+1, K |
DO J = I+1, K |
T( J, I ) = -TAU( I ) * CONJG( V( N-K+I , J ) ) |
T( J, I ) = -TAU( I ) * CONJG( V( N-K+I , J ) ) |
END DO |
END DO |
J = MAX( LASTV, PREVLASTV ) |
J = MAX( LASTV, PREVLASTV ) |
* |
* |
* T(i+1:k,i) = -tau(i) * V(j:n-k+i,i+1:k)**H * V(j:n-k+i,i) |
* T(i+1:k,i) = -tau(i) * V(j:n-k+i,i+1:k)**H * V(j:n-k+i,i) |
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END DO |
END DO |
DO J = I+1, K |
DO J = I+1, K |
T( J, I ) = -TAU( I ) * V( J, N-K+I ) |
T( J, I ) = -TAU( I ) * V( J, N-K+I ) |
END DO |
END DO |
J = MAX( LASTV, PREVLASTV ) |
J = MAX( LASTV, PREVLASTV ) |
* |
* |
* T(i+1:k,i) = -tau(i) * V(i+1:k,j:n-k+i) * V(i,j:n-k+i)**H |
* T(i+1:k,i) = -tau(i) * V(i+1:k,j:n-k+i) * V(i,j:n-k+i)**H |
* |
* |
CALL ZGEMM( 'N', 'C', K-I, 1, N-K+I-J, -TAU( I ), |
CALL ZGEMM( 'N', 'C', K-I, 1, N-K+I-J, -TAU( I ), |
$ V( I+1, J ), LDV, V( I, J ), LDV, |
$ V( I+1, J ), LDV, V( I, J ), LDV, |
$ ONE, T( I+1, I ), LDT ) |
$ ONE, T( I+1, I ), LDT ) |
END IF |
END IF |
* |
* |
* T(i+1:k,i) := T(i+1:k,i+1:k) * T(i+1:k,i) |
* T(i+1:k,i) := T(i+1:k,i+1:k) * T(i+1:k,i) |