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version 1.16, 2016/08/27 15:34:27
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*> \brief \b DLAHRD |
*> \brief \b DLAHRD 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 =========== |
* |
* |
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*> |
*> |
*> \verbatim |
*> \verbatim |
*> |
*> |
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*> This routine is deprecated and has been replaced by routine DLAHR2. |
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*> |
*> DLAHRD reduces the first NB columns of a real general n-by-(n-k+1) |
*> DLAHRD reduces the first NB columns of a real 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 an orthogonal similarity transformation |
*> reduction is performed by an orthogonal similarity transformation |
*> Q**T * A * Q. The routine returns the matrices V and T which determine |
*> Q**T * A * Q. The routine returns the matrices V and T which determine |
*> Q as a block reflector I - V*T*V**T, and also the matrix Y = A * V * T. |
*> Q as a block reflector I - V*T*V**T, 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 DLAHR2 instead. |
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*> \endverbatim |
*> \endverbatim |
* |
* |
* Arguments: |
* Arguments: |
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*> \author Univ. of Colorado Denver |
*> \author Univ. of Colorado Denver |
*> \author NAG Ltd. |
*> \author NAG Ltd. |
* |
* |
*> \date November 2011 |
*> \date November 2015 |
* |
* |
*> \ingroup doubleOTHERauxiliary |
*> \ingroup doubleOTHERauxiliary |
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* |
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* ===================================================================== |
* ===================================================================== |
SUBROUTINE DLAHRD( N, K, NB, A, LDA, TAU, T, LDT, Y, LDY ) |
SUBROUTINE DLAHRD( N, K, NB, A, LDA, TAU, T, LDT, Y, LDY ) |
* |
* |
* -- LAPACK auxiliary routine (version 3.4.0) -- |
* -- LAPACK auxiliary routine (version 3.6.0) -- |
* -- 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 |
* November 2015 |
* |
* |
* .. Scalar Arguments .. |
* .. Scalar Arguments .. |
INTEGER K, LDA, LDT, LDY, N, NB |
INTEGER K, LDA, LDT, LDY, N, NB |