version 1.1, 2017/06/17 11:02:57
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version 1.5, 2023/08/07 08:39:41
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* http://www.netlib.org/lapack/explore-html/ |
* http://www.netlib.org/lapack/explore-html/ |
* |
* |
*> \htmlonly |
*> \htmlonly |
*> Download DTPQRT + dependencies |
*> Download ZTPLQT + dependencies |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dtplqt.f"> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/ztplqt.f"> |
*> [TGZ]</a> |
*> [TGZ]</a> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dtplqt.f"> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/ztplqt.f"> |
*> [ZIP]</a> |
*> [ZIP]</a> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dtplqt.f"> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/ztplqt.f"> |
*> [TXT]</a> |
*> [TXT]</a> |
*> \endhtmlonly |
*> \endhtmlonly |
* |
* |
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*> |
*> |
*> \verbatim |
*> \verbatim |
*> |
*> |
*> DTPLQT computes a blocked LQ factorization of a complex |
*> ZTPLQT computes a blocked LQ factorization of a complex |
*> "triangular-pentagonal" matrix C, which is composed of a |
*> "triangular-pentagonal" matrix C, which is composed of a |
*> triangular block A and pentagonal block B, using the compact |
*> triangular block A and pentagonal block B, using the compact |
*> WY representation for Q. |
*> WY representation for Q. |
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*> |
*> |
*> \param[in,out] A |
*> \param[in,out] A |
*> \verbatim |
*> \verbatim |
*> A is COMPLEX*16 array, dimension (LDA,N) |
*> A is COMPLEX*16 array, dimension (LDA,M) |
*> On entry, the lower triangular N-by-N matrix A. |
*> On entry, the lower triangular M-by-M matrix A. |
*> On exit, the elements on and below the diagonal of the array |
*> On exit, the elements on and below the diagonal of the array |
*> contain the lower triangular matrix L. |
*> contain the lower triangular matrix L. |
*> \endverbatim |
*> \endverbatim |
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*> \param[in] LDA |
*> \param[in] LDA |
*> \verbatim |
*> \verbatim |
*> LDA is INTEGER |
*> LDA is INTEGER |
*> The leading dimension of the array A. LDA >= max(1,N). |
*> The leading dimension of the array A. LDA >= max(1,M). |
*> \endverbatim |
*> \endverbatim |
*> |
*> |
*> \param[in,out] B |
*> \param[in,out] B |
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*> \author Univ. of Colorado Denver |
*> \author Univ. of Colorado Denver |
*> \author NAG Ltd. |
*> \author NAG Ltd. |
* |
* |
*> \date December 2016 |
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* |
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*> \ingroup doubleOTHERcomputational |
*> \ingroup doubleOTHERcomputational |
* |
* |
*> \par Further Details: |
*> \par Further Details: |
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*> C = [ A ] [ B ] |
*> C = [ A ] [ B ] |
*> |
*> |
*> |
*> |
*> where A is an lower triangular N-by-N matrix, and B is M-by-N pentagonal |
*> where A is an lower triangular M-by-M matrix, and B is M-by-N pentagonal |
*> matrix consisting of a M-by-(N-L) rectangular matrix B1 on left of a M-by-L |
*> matrix consisting of a M-by-(N-L) rectangular matrix B1 on left of a M-by-L |
*> upper trapezoidal matrix B2: |
*> upper trapezoidal matrix B2: |
*> [ B ] = [ B1 ] [ B2 ] |
*> [ B ] = [ B1 ] [ B2 ] |
*> [ B1 ] <- M-by-(N-L) rectangular |
*> [ B1 ] <- M-by-(N-L) rectangular |
*> [ B2 ] <- M-by-L upper trapezoidal. |
*> [ B2 ] <- M-by-L lower trapezoidal. |
*> |
*> |
*> The lower trapezoidal matrix B2 consists of the first L columns of a |
*> The lower trapezoidal matrix B2 consists of the first L columns of a |
*> N-by-N lower triangular matrix, where 0 <= L <= MIN(M,N). If L=0, |
*> M-by-M lower triangular matrix, where 0 <= L <= MIN(M,N). If L=0, |
*> B is rectangular M-by-N; if M=L=N, B is lower triangular. |
*> B is rectangular M-by-N; if M=L=N, B is lower triangular. |
*> |
*> |
*> The matrix W stores the elementary reflectors H(i) in the i-th row |
*> The matrix W stores the elementary reflectors H(i) in the i-th row |
*> above the diagonal (of A) in the M-by-(M+N) input matrix C |
*> above the diagonal (of A) in the M-by-(M+N) input matrix C |
*> [ C ] = [ A ] [ B ] |
*> [ C ] = [ A ] [ B ] |
*> [ A ] <- lower triangular N-by-N |
*> [ A ] <- lower triangular M-by-M |
*> [ B ] <- M-by-N pentagonal |
*> [ B ] <- M-by-N pentagonal |
*> |
*> |
*> so that W can be represented as |
*> so that W can be represented as |
*> [ W ] = [ I ] [ V ] |
*> [ W ] = [ I ] [ V ] |
*> [ I ] <- identity, N-by-N |
*> [ I ] <- identity, M-by-M |
*> [ V ] <- M-by-N, same form as B. |
*> [ V ] <- M-by-N, same form as B. |
*> |
*> |
*> Thus, all of information needed for W is contained on exit in B, which |
*> Thus, all of information needed for W is contained on exit in B, which |
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SUBROUTINE ZTPLQT( M, N, L, MB, A, LDA, B, LDB, T, LDT, WORK, |
SUBROUTINE ZTPLQT( M, N, L, MB, A, LDA, B, LDB, T, LDT, WORK, |
$ INFO ) |
$ INFO ) |
* |
* |
* -- LAPACK computational routine (version 3.7.0) -- |
* -- 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..-- |
* December 2016 |
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* |
* |
* .. Scalar Arguments .. |
* .. Scalar Arguments .. |
INTEGER INFO, LDA, LDB, LDT, N, M, L, MB |
INTEGER INFO, LDA, LDB, LDT, N, M, L, MB |