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Diffstat (limited to 'TESTING/MATGEN/zlagge.f')
| -rw-r--r-- | TESTING/MATGEN/zlagge.f | 165 |
1 files changed, 118 insertions, 47 deletions
diff --git a/TESTING/MATGEN/zlagge.f b/TESTING/MATGEN/zlagge.f index ce5b7358..5963699d 100644 --- a/TESTING/MATGEN/zlagge.f +++ b/TESTING/MATGEN/zlagge.f @@ -1,63 +1,134 @@ - SUBROUTINE ZLAGGE( M, N, KL, KU, D, A, LDA, ISEED, WORK, INFO ) -* -* -- LAPACK auxiliary test routine (version 3.1) -- -* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. -* November 2006 -* -* .. Scalar Arguments .. - INTEGER INFO, KL, KU, LDA, M, N -* .. -* .. Array Arguments .. - INTEGER ISEED( 4 ) - DOUBLE PRECISION D( * ) - COMPLEX*16 A( LDA, * ), WORK( * ) -* .. -* +*> \brief \b ZLAGGE +* +* =========== DOCUMENTATION =========== +* +* Online html documentation available at +* http://www.netlib.org/lapack/explore-html/ +* +* Definition +* ========== +* +* SUBROUTINE ZLAGGE( M, N, KL, KU, D, A, LDA, ISEED, WORK, INFO ) +* +* .. Scalar Arguments .. +* INTEGER INFO, KL, KU, LDA, M, N +* .. +* .. Array Arguments .. +* INTEGER ISEED( 4 ) +* DOUBLE PRECISION D( * ) +* COMPLEX*16 A( LDA, * ), WORK( * ) +* .. +* * Purpose * ======= * -* ZLAGGE generates a complex general m by n matrix A, by pre- and post- -* multiplying a real diagonal matrix D with random unitary matrices: -* A = U*D*V. The lower and upper bandwidths may then be reduced to -* kl and ku by additional unitary transformations. +*>\details \b Purpose: +*>\verbatim +*> +*> ZLAGGE generates a complex general m by n matrix A, by pre- and post- +*> multiplying a real diagonal matrix D with random unitary matrices: +*> A = U*D*V. The lower and upper bandwidths may then be reduced to +*> kl and ku by additional unitary transformations. +*> +*>\endverbatim * * Arguments * ========= * -* M (input) INTEGER -* The number of rows of the matrix A. M >= 0. -* -* N (input) INTEGER -* The number of columns of the matrix A. N >= 0. -* -* KL (input) INTEGER -* The number of nonzero subdiagonals within the band of A. -* 0 <= KL <= M-1. -* -* KU (input) INTEGER -* The number of nonzero superdiagonals within the band of A. -* 0 <= KU <= N-1. +*> \param[in] M +*> \verbatim +*> M is INTEGER +*> The number of rows of the matrix A. M >= 0. +*> \endverbatim +*> +*> \param[in] N +*> \verbatim +*> N is INTEGER +*> The number of columns of the matrix A. N >= 0. +*> \endverbatim +*> +*> \param[in] KL +*> \verbatim +*> KL is INTEGER +*> The number of nonzero subdiagonals within the band of A. +*> 0 <= KL <= M-1. +*> \endverbatim +*> +*> \param[in] KU +*> \verbatim +*> KU is INTEGER +*> The number of nonzero superdiagonals within the band of A. +*> 0 <= KU <= N-1. +*> \endverbatim +*> +*> \param[in] D +*> \verbatim +*> D is DOUBLE PRECISION array, dimension (min(M,N)) +*> The diagonal elements of the diagonal matrix D. +*> \endverbatim +*> +*> \param[out] A +*> \verbatim +*> A is COMPLEX*16 array, dimension (LDA,N) +*> The generated m by n matrix A. +*> \endverbatim +*> +*> \param[in] LDA +*> \verbatim +*> LDA is INTEGER +*> The leading dimension of the array A. LDA >= M. +*> \endverbatim +*> +*> \param[in,out] ISEED +*> \verbatim +*> ISEED is INTEGER array, dimension (4) +*> On entry, the seed of the random number generator; the array +*> elements must be between 0 and 4095, and ISEED(4) must be +*> odd. +*> On exit, the seed is updated. +*> \endverbatim +*> +*> \param[out] WORK +*> \verbatim +*> WORK is COMPLEX*16 array, dimension (M+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 +* ======= * -* D (input) DOUBLE PRECISION array, dimension (min(M,N)) -* The diagonal elements of the diagonal matrix D. +*> \author Univ. of Tennessee +*> \author Univ. of California Berkeley +*> \author Univ. of Colorado Denver +*> \author NAG Ltd. * -* A (output) COMPLEX*16 array, dimension (LDA,N) -* The generated m by n matrix A. +*> \date November 2011 * -* LDA (input) INTEGER -* The leading dimension of the array A. LDA >= M. +*> \ingroup complex16_matgen * -* ISEED (input/output) INTEGER array, dimension (4) -* On entry, the seed of the random number generator; the array -* elements must be between 0 and 4095, and ISEED(4) must be -* odd. -* On exit, the seed is updated. +* ===================================================================== + SUBROUTINE ZLAGGE( M, N, KL, KU, D, A, LDA, ISEED, WORK, INFO ) * -* WORK (workspace) COMPLEX*16 array, dimension (M+N) +* -- LAPACK auxiliary routine (version 3.1) -- +* -- LAPACK is a software package provided by Univ. of Tennessee, -- +* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- +* November 2011 * -* INFO (output) INTEGER -* = 0: successful exit -* < 0: if INFO = -i, the i-th argument had an illegal value +* .. Scalar Arguments .. + INTEGER INFO, KL, KU, LDA, M, N +* .. +* .. Array Arguments .. + INTEGER ISEED( 4 ) + DOUBLE PRECISION D( * ) + COMPLEX*16 A( LDA, * ), WORK( * ) +* .. * * ===================================================================== * |