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author | julie <julielangou@users.noreply.github.com> | 2011-10-06 06:53:11 +0000 |
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committer | julie <julielangou@users.noreply.github.com> | 2011-10-06 06:53:11 +0000 |
commit | e1d39294aee16fa6db9ba079b14442358217db71 (patch) | |
tree | 30e5aa04c1f6596991fda5334f63dfb9b8027849 /SRC/zgeqrt2.f | |
parent | 5fe0466a14e395641f4f8a300ecc9dcb8058081b (diff) | |
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Integrating Doxygen in comments
Diffstat (limited to 'SRC/zgeqrt2.f')
-rw-r--r-- | SRC/zgeqrt2.f | 164 |
1 files changed, 113 insertions, 51 deletions
diff --git a/SRC/zgeqrt2.f b/SRC/zgeqrt2.f index a78c5c82..56f68ed9 100644 --- a/SRC/zgeqrt2.f +++ b/SRC/zgeqrt2.f @@ -1,73 +1,135 @@ - SUBROUTINE ZGEQRT2( M, N, A, LDA, T, LDT, INFO ) +*> \brief \b ZGEQRT2 * -* -- LAPACK routine (version 3.?) -- -* -- LAPACK is a software package provided by Univ. of Tennessee, -- -* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- -* -- July 2011 -- +* =========== DOCUMENTATION =========== * -* .. Scalar Arguments .. - INTEGER INFO, LDA, LDT, M, N -* .. -* .. Array Arguments .. - COMPLEX*16 A( LDA, * ), T( LDT, * ) -* .. +* Online html documentation available at +* http://www.netlib.org/lapack/explore-html/ +* +* Definition +* ========== * +* SUBROUTINE ZGEQRT2( M, N, A, LDA, T, LDT, INFO ) +* +* .. Scalar Arguments .. +* INTEGER INFO, LDA, LDT, M, N +* .. +* .. Array Arguments .. +* COMPLEX*16 A( LDA, * ), T( LDT, * ) +* .. +* * Purpose * ======= * -* ZGEQRT2 computes a QR factorization of a complex M-by-N matrix A, -* using the compact WY representation of Q. +*>\details \b Purpose: +*>\verbatim +*> +*> ZGEQRT2 computes a QR factorization of a complex M-by-N matrix A, +*> using the compact WY representation of Q. +*> +*>\endverbatim * * Arguments * ========= * -* M (input) INTEGER -* The number of rows of the matrix A. M >= N. -* -* N (input) INTEGER -* The number of columns of the matrix A. N >= 0. -* -* A (input/output) COMPLEX*16 array, dimension (LDA,N) -* On entry, the complex M-by-N matrix A. On exit, the elements on and -* above the diagonal contain the N-by-N upper triangular matrix R; the -* elements below the diagonal are the columns of V. See below for -* further details. +*> \param[in] M +*> \verbatim +*> M is INTEGER +*> The number of rows of the matrix A. M >= N. +*> \endverbatim +*> +*> \param[in] N +*> \verbatim +*> N is INTEGER +*> The number of columns of the matrix A. N >= 0. +*> \endverbatim +*> +*> \param[in,out] A +*> \verbatim +*> A is COMPLEX*16 array, dimension (LDA,N) +*> On entry, the complex M-by-N matrix A. On exit, the elements on and +*> above the diagonal contain the N-by-N upper triangular matrix R; the +*> elements below the diagonal are the columns of V. See below for +*> further details. +*> \endverbatim +*> +*> \param[in] LDA +*> \verbatim +*> LDA is INTEGER +*> The leading dimension of the array A. LDA >= max(1,M). +*> \endverbatim +*> +*> \param[out] T +*> \verbatim +*> T is COMPLEX*16 array, dimension (LDT,N) +*> The N-by-N upper triangular factor of the block reflector. +*> The elements on and above the diagonal contain the block +*> reflector T; the elements below the diagonal are not used. +*> See below for further details. +*> \endverbatim +*> \verbatim +*> LDT (intput) INTEGER +*> The leading dimension of the array T. LDT >= max(1,N). +*> \endverbatim +*> +*> \param[out] INFO +*> \verbatim +*> INFO is INTEGER +*> = 0: successful exit +*> < 0: if INFO = -i, the i-th argument had an illegal value +*> \endverbatim +*> +* +* Authors +* ======= * -* LDA (input) INTEGER -* The leading dimension of the array A. LDA >= max(1,M). +*> \author Univ. of Tennessee +*> \author Univ. of California Berkeley +*> \author Univ. of Colorado Denver +*> \author NAG Ltd. * -* T (output) COMPLEX*16 array, dimension (LDT,N) -* The N-by-N upper triangular factor of the block reflector. -* The elements on and above the diagonal contain the block -* reflector T; the elements below the diagonal are not used. -* See below for further details. +*> \date November 2011 * -* LDT (intput) INTEGER -* The leading dimension of the array T. LDT >= max(1,N). +*> \ingroup complex16GEcomputational * -* INFO (output) INTEGER -* = 0: successful exit -* < 0: if INFO = -i, the i-th argument had an illegal value * * Further Details * =============== +*>\details \b Further \b Details +*> \verbatim +*> +*> The matrix V stores the elementary reflectors H(i) in the i-th column +*> below the diagonal. For example, if M=5 and N=3, the matrix V is +*> +*> V = ( 1 ) +*> ( v1 1 ) +*> ( v1 v2 1 ) +*> ( v1 v2 v3 ) +*> ( v1 v2 v3 ) +*> +*> where the vi's represent the vectors which define H(i), which are returned +*> in the matrix A. The 1's along the diagonal of V are not stored in A. The +*> block reflector H is then given by +*> +*> H = I - V * T * V**H +*> +*> where V**H is the conjugate transpose of V. +*> +*> \endverbatim +*> +* ===================================================================== + SUBROUTINE ZGEQRT2( M, N, A, LDA, T, LDT, INFO ) * -* The matrix V stores the elementary reflectors H(i) in the i-th column -* below the diagonal. For example, if M=5 and N=3, the matrix V is -* -* V = ( 1 ) -* ( v1 1 ) -* ( v1 v2 1 ) -* ( v1 v2 v3 ) -* ( v1 v2 v3 ) -* -* where the vi's represent the vectors which define H(i), which are returned -* in the matrix A. The 1's along the diagonal of V are not stored in A. The -* block reflector H is then given by -* -* H = I - V * T * V**H +* -- LAPACK computational routine (version 3.?) -- +* -- LAPACK is a software package provided by Univ. of Tennessee, -- +* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- +* November 2011 * -* where V**H is the conjugate transpose of V. +* .. Scalar Arguments .. + INTEGER INFO, LDA, LDT, M, N +* .. +* .. Array Arguments .. + COMPLEX*16 A( LDA, * ), T( LDT, * ) +* .. * * ===================================================================== * |