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version 1.19, 2023/08/07 08:38:49
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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 DGEQPF + dependencies |
*> Download DGEQPF + dependencies |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dgeqpf.f"> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dgeqpf.f"> |
*> [TGZ]</a> |
*> [TGZ]</a> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dgeqpf.f"> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dgeqpf.f"> |
*> [ZIP]</a> |
*> [ZIP]</a> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dgeqpf.f"> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dgeqpf.f"> |
*> [TXT]</a> |
*> [TXT]</a> |
*> \endhtmlonly |
*> \endhtmlonly |
* |
* |
* Definition: |
* Definition: |
* =========== |
* =========== |
* |
* |
* SUBROUTINE DGEQPF( M, N, A, LDA, JPVT, TAU, WORK, INFO ) |
* SUBROUTINE DGEQPF( M, N, A, LDA, JPVT, TAU, WORK, INFO ) |
* |
* |
* .. Scalar Arguments .. |
* .. Scalar Arguments .. |
* INTEGER INFO, LDA, M, N |
* INTEGER INFO, LDA, M, N |
* .. |
* .. |
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* INTEGER JPVT( * ) |
* INTEGER JPVT( * ) |
* DOUBLE PRECISION A( LDA, * ), TAU( * ), WORK( * ) |
* DOUBLE PRECISION A( LDA, * ), TAU( * ), WORK( * ) |
* .. |
* .. |
* |
* |
* |
* |
*> \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 November 2011 |
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* |
* |
*> \ingroup doubleGEcomputational |
*> \ingroup doubleGEcomputational |
* |
* |
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* ===================================================================== |
* ===================================================================== |
SUBROUTINE DGEQPF( M, N, A, LDA, JPVT, TAU, WORK, INFO ) |
SUBROUTINE DGEQPF( M, N, A, LDA, JPVT, TAU, WORK, INFO ) |
* |
* |
* -- LAPACK computational routine (version 3.4.0) -- |
* -- 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..-- |
* November 2011 |
|
* |
* |
* .. Scalar Arguments .. |
* .. Scalar Arguments .. |
INTEGER INFO, LDA, M, N |
INTEGER INFO, LDA, M, N |
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* |
* |
* NOTE: The following 4 lines follow from the analysis in |
* NOTE: The following 4 lines follow from the analysis in |
* Lapack Working Note 176. |
* Lapack Working Note 176. |
* |
* |
TEMP = ABS( A( I, J ) ) / WORK( J ) |
TEMP = ABS( A( I, J ) ) / WORK( J ) |
TEMP = MAX( ZERO, ( ONE+TEMP )*( ONE-TEMP ) ) |
TEMP = MAX( ZERO, ( ONE+TEMP )*( ONE-TEMP ) ) |
TEMP2 = TEMP*( WORK( J ) / WORK( N+J ) )**2 |
TEMP2 = TEMP*( WORK( J ) / WORK( N+J ) )**2 |
IF( TEMP2 .LE. TOL3Z ) THEN |
IF( TEMP2 .LE. TOL3Z ) THEN |
IF( M-I.GT.0 ) THEN |
IF( M-I.GT.0 ) THEN |
WORK( J ) = DNRM2( M-I, A( I+1, J ), 1 ) |
WORK( J ) = DNRM2( M-I, A( I+1, J ), 1 ) |
WORK( N+J ) = WORK( J ) |
WORK( N+J ) = WORK( J ) |