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version 1.20, 2023/08/07 08:39:29
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*> \brief \b ZLAHRD |
*> \brief \b ZLAHRD reduces the first nb columns of a general rectangular matrix A so that elements below the k-th subdiagonal are zero, and returns auxiliary matrices which are needed to apply the transformation to the unreduced part of A. |
* |
* |
* =========== 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 ZLAHRD + dependencies |
*> Download ZLAHRD + dependencies |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zlahrd.f"> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zlahrd.f"> |
*> [TGZ]</a> |
*> [TGZ]</a> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zlahrd.f"> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zlahrd.f"> |
*> [ZIP]</a> |
*> [ZIP]</a> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zlahrd.f"> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zlahrd.f"> |
*> [TXT]</a> |
*> [TXT]</a> |
*> \endhtmlonly |
*> \endhtmlonly |
* |
* |
* Definition: |
* Definition: |
* =========== |
* =========== |
* |
* |
* SUBROUTINE ZLAHRD( N, K, NB, A, LDA, TAU, T, LDT, Y, LDY ) |
* SUBROUTINE ZLAHRD( N, K, NB, A, LDA, TAU, T, LDT, Y, LDY ) |
* |
* |
* .. Scalar Arguments .. |
* .. Scalar Arguments .. |
* INTEGER K, LDA, LDT, LDY, N, NB |
* INTEGER K, LDA, LDT, LDY, N, NB |
* .. |
* .. |
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* COMPLEX*16 A( LDA, * ), T( LDT, NB ), TAU( NB ), |
* COMPLEX*16 A( LDA, * ), T( LDT, NB ), TAU( NB ), |
* $ Y( LDY, NB ) |
* $ Y( LDY, NB ) |
* .. |
* .. |
* |
* |
* |
* |
*> \par Purpose: |
*> \par Purpose: |
* ============= |
* ============= |
*> |
*> |
*> \verbatim |
*> \verbatim |
*> |
*> |
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*> This routine is deprecated and has been replaced by routine ZLAHR2. |
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*> |
*> ZLAHRD reduces the first NB columns of a complex general n-by-(n-k+1) |
*> ZLAHRD reduces the first NB columns of a complex general n-by-(n-k+1) |
*> matrix A so that elements below the k-th subdiagonal are zero. The |
*> matrix A so that elements below the k-th subdiagonal are zero. The |
*> reduction is performed by a unitary similarity transformation |
*> reduction is performed by a unitary similarity transformation |
*> Q**H * A * Q. The routine returns the matrices V and T which determine |
*> Q**H * A * Q. The routine returns the matrices V and T which determine |
*> Q as a block reflector I - V*T*V**H, and also the matrix Y = A * V * T. |
*> Q as a block reflector I - V*T*V**H, and also the matrix Y = A * V * T. |
*> |
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*> This is an OBSOLETE auxiliary routine. |
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*> This routine will be 'deprecated' in a future release. |
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*> Please use the new routine ZLAHR2 instead. |
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*> \endverbatim |
*> \endverbatim |
* |
* |
* Arguments: |
* Arguments: |
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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 November 2011 |
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* |
* |
*> \ingroup complex16OTHERauxiliary |
*> \ingroup complex16OTHERauxiliary |
* |
* |
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* ===================================================================== |
* ===================================================================== |
SUBROUTINE ZLAHRD( N, K, NB, A, LDA, TAU, T, LDT, Y, LDY ) |
SUBROUTINE ZLAHRD( N, K, NB, A, LDA, TAU, T, LDT, Y, LDY ) |
* |
* |
* -- LAPACK auxiliary routine (version 3.4.0) -- |
* -- 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..-- |
* November 2011 |
|
* |
* |
* .. Scalar Arguments .. |
* .. Scalar Arguments .. |
INTEGER K, LDA, LDT, LDY, N, NB |
INTEGER K, LDA, LDT, LDY, N, NB |