version 1.14, 2014/01/27 09:28:31
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version 1.20, 2023/08/07 08:39:16
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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 ZGEBD2 + dependencies |
*> Download ZGEBD2 + dependencies |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zgebd2.f"> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zgebd2.f"> |
*> [TGZ]</a> |
*> [TGZ]</a> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zgebd2.f"> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zgebd2.f"> |
*> [ZIP]</a> |
*> [ZIP]</a> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zgebd2.f"> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zgebd2.f"> |
*> [TXT]</a> |
*> [TXT]</a> |
*> \endhtmlonly |
*> \endhtmlonly |
* |
* |
* Definition: |
* Definition: |
* =========== |
* =========== |
* |
* |
* SUBROUTINE ZGEBD2( M, N, A, LDA, D, E, TAUQ, TAUP, WORK, INFO ) |
* SUBROUTINE ZGEBD2( M, N, A, LDA, D, E, TAUQ, TAUP, WORK, INFO ) |
* |
* |
* .. Scalar Arguments .. |
* .. Scalar Arguments .. |
* INTEGER INFO, LDA, M, N |
* INTEGER INFO, LDA, M, N |
* .. |
* .. |
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* DOUBLE PRECISION D( * ), E( * ) |
* DOUBLE PRECISION D( * ), E( * ) |
* COMPLEX*16 A( LDA, * ), TAUP( * ), TAUQ( * ), WORK( * ) |
* COMPLEX*16 A( LDA, * ), TAUP( * ), TAUQ( * ), WORK( * ) |
* .. |
* .. |
* |
* |
* |
* |
*> \par Purpose: |
*> \par Purpose: |
* ============= |
* ============= |
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*> |
*> |
*> \param[out] TAUQ |
*> \param[out] TAUQ |
*> \verbatim |
*> \verbatim |
*> TAUQ is COMPLEX*16 array dimension (min(M,N)) |
*> TAUQ is COMPLEX*16 array, dimension (min(M,N)) |
*> The scalar factors of the elementary reflectors which |
*> The scalar factors of the elementary reflectors which |
*> represent the unitary matrix Q. See Further Details. |
*> represent the unitary matrix Q. See Further Details. |
*> \endverbatim |
*> \endverbatim |
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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. |
* |
|
*> \date September 2012 |
|
* |
* |
*> \ingroup complex16GEcomputational |
*> \ingroup complex16GEcomputational |
* |
* |
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* ===================================================================== |
* ===================================================================== |
SUBROUTINE ZGEBD2( M, N, A, LDA, D, E, TAUQ, TAUP, WORK, INFO ) |
SUBROUTINE ZGEBD2( M, N, A, LDA, D, E, TAUQ, TAUP, WORK, INFO ) |
* |
* |
* -- LAPACK computational routine (version 3.4.2) -- |
* -- LAPACK computational 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 .. |
INTEGER INFO, LDA, M, N |
INTEGER INFO, LDA, M, N |
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ALPHA = A( I, I ) |
ALPHA = A( I, I ) |
CALL ZLARFG( M-I+1, ALPHA, A( MIN( I+1, M ), I ), 1, |
CALL ZLARFG( M-I+1, ALPHA, A( MIN( I+1, M ), I ), 1, |
$ TAUQ( I ) ) |
$ TAUQ( I ) ) |
D( I ) = ALPHA |
D( I ) = DBLE( ALPHA ) |
A( I, I ) = ONE |
A( I, I ) = ONE |
* |
* |
* Apply H(i)**H to A(i:m,i+1:n) from the left |
* Apply H(i)**H to A(i:m,i+1:n) from the left |
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ALPHA = A( I, I+1 ) |
ALPHA = A( I, I+1 ) |
CALL ZLARFG( N-I, ALPHA, A( I, MIN( I+2, N ) ), LDA, |
CALL ZLARFG( N-I, ALPHA, A( I, MIN( I+2, N ) ), LDA, |
$ TAUP( I ) ) |
$ TAUP( I ) ) |
E( I ) = ALPHA |
E( I ) = DBLE( ALPHA ) |
A( I, I+1 ) = ONE |
A( I, I+1 ) = ONE |
* |
* |
* Apply G(i) to A(i+1:m,i+1:n) from the right |
* Apply G(i) to A(i+1:m,i+1:n) from the right |
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ALPHA = A( I, I ) |
ALPHA = A( I, I ) |
CALL ZLARFG( N-I+1, ALPHA, A( I, MIN( I+1, N ) ), LDA, |
CALL ZLARFG( N-I+1, ALPHA, A( I, MIN( I+1, N ) ), LDA, |
$ TAUP( I ) ) |
$ TAUP( I ) ) |
D( I ) = ALPHA |
D( I ) = DBLE( ALPHA ) |
A( I, I ) = ONE |
A( I, I ) = ONE |
* |
* |
* Apply G(i) to A(i+1:m,i:n) from the right |
* Apply G(i) to A(i+1:m,i:n) from the right |
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ALPHA = A( I+1, I ) |
ALPHA = A( I+1, I ) |
CALL ZLARFG( M-I, ALPHA, A( MIN( I+2, M ), I ), 1, |
CALL ZLARFG( M-I, ALPHA, A( MIN( I+2, M ), I ), 1, |
$ TAUQ( I ) ) |
$ TAUQ( I ) ) |
E( I ) = ALPHA |
E( I ) = DBLE( ALPHA ) |
A( I+1, I ) = ONE |
A( I+1, I ) = ONE |
* |
* |
* Apply H(i)**H to A(i+1:m,i+1:n) from the left |
* Apply H(i)**H to A(i+1:m,i+1:n) from the left |