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version 1.20, 2023/08/07 08:38:54
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*> \brief \b DLALN2 |
*> \brief \b DLALN2 solves a 1-by-1 or 2-by-2 linear system of equations of the specified form. |
* |
* |
* =========== 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 DLALN2 + dependencies |
*> Download DLALN2 + dependencies |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlaln2.f"> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlaln2.f"> |
*> [TGZ]</a> |
*> [TGZ]</a> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlaln2.f"> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlaln2.f"> |
*> [ZIP]</a> |
*> [ZIP]</a> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlaln2.f"> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlaln2.f"> |
*> [TXT]</a> |
*> [TXT]</a> |
*> \endhtmlonly |
*> \endhtmlonly |
* |
* |
* Definition: |
* Definition: |
* =========== |
* =========== |
* |
* |
* SUBROUTINE DLALN2( LTRANS, NA, NW, SMIN, CA, A, LDA, D1, D2, B, |
* SUBROUTINE DLALN2( LTRANS, NA, NW, SMIN, CA, A, LDA, D1, D2, B, |
* LDB, WR, WI, X, LDX, SCALE, XNORM, INFO ) |
* LDB, WR, WI, X, LDX, SCALE, XNORM, INFO ) |
* |
* |
* .. Scalar Arguments .. |
* .. Scalar Arguments .. |
* LOGICAL LTRANS |
* LOGICAL LTRANS |
* INTEGER INFO, LDA, LDB, LDX, NA, NW |
* INTEGER INFO, LDA, LDB, LDX, NA, NW |
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* .. Array Arguments .. |
* .. Array Arguments .. |
* DOUBLE PRECISION A( LDA, * ), B( LDB, * ), X( LDX, * ) |
* DOUBLE PRECISION A( LDA, * ), B( LDB, * ), X( LDX, * ) |
* .. |
* .. |
* |
* |
* |
* |
*> \par Purpose: |
*> \par Purpose: |
* ============= |
* ============= |
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*> the first column of each being the real part and the second |
*> the first column of each being the real part and the second |
*> being the imaginary part. |
*> being the imaginary part. |
*> |
*> |
*> "s" is a scaling factor (.LE. 1), computed by DLALN2, which is |
*> "s" is a scaling factor (<= 1), computed by DLALN2, which is |
*> so chosen that X can be computed without overflow. X is further |
*> so chosen that X can be computed without overflow. X is further |
*> scaled if necessary to assure that norm(ca A - w D)*norm(X) is less |
*> scaled if necessary to assure that norm(ca A - w D)*norm(X) is less |
*> than overflow. |
*> than overflow. |
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*> \param[in] D2 |
*> \param[in] D2 |
*> \verbatim |
*> \verbatim |
*> D2 is DOUBLE PRECISION |
*> D2 is DOUBLE PRECISION |
*> The 2,2 element in the diagonal matrix D. Not used if NW=1. |
*> The 2,2 element in the diagonal matrix D. Not used if NA=1. |
*> \endverbatim |
*> \endverbatim |
*> |
*> |
*> \param[in] B |
*> \param[in] B |
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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 November 2011 |
|
* |
* |
*> \ingroup doubleOTHERauxiliary |
*> \ingroup doubleOTHERauxiliary |
* |
* |
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SUBROUTINE DLALN2( LTRANS, NA, NW, SMIN, CA, A, LDA, D1, D2, B, |
SUBROUTINE DLALN2( LTRANS, NA, NW, SMIN, CA, A, LDA, D1, D2, B, |
$ LDB, WR, WI, X, LDX, SCALE, XNORM, INFO ) |
$ LDB, WR, WI, X, LDX, SCALE, XNORM, INFO ) |
* |
* |
* -- 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 .. |
LOGICAL LTRANS |
LOGICAL LTRANS |