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Diffstat (limited to 'BLAS/SRC/zgemv.f')
| -rw-r--r-- | BLAS/SRC/zgemv.f | 256 |
1 files changed, 166 insertions, 90 deletions
diff --git a/BLAS/SRC/zgemv.f b/BLAS/SRC/zgemv.f index 9415940e..9eaf4450 100644 --- a/BLAS/SRC/zgemv.f +++ b/BLAS/SRC/zgemv.f @@ -1,107 +1,183 @@ - SUBROUTINE ZGEMV(TRANS,M,N,ALPHA,A,LDA,X,INCX,BETA,Y,INCY) -* .. Scalar Arguments .. - COMPLEX*16 ALPHA,BETA - INTEGER INCX,INCY,LDA,M,N - CHARACTER TRANS -* .. -* .. Array Arguments .. - COMPLEX*16 A(LDA,*),X(*),Y(*) -* .. +*> \brief \b ZGEMV +* +* =========== DOCUMENTATION =========== +* +* Online html documentation available at +* http://www.netlib.org/lapack/explore-html/ * +* Definition +* ========== +* +* SUBROUTINE ZGEMV(TRANS,M,N,ALPHA,A,LDA,X,INCX,BETA,Y,INCY) +* +* .. Scalar Arguments .. +* COMPLEX*16 ALPHA,BETA +* INTEGER INCX,INCY,LDA,M,N +* CHARACTER TRANS +* .. +* .. Array Arguments .. +* COMPLEX*16 A(LDA,*),X(*),Y(*) +* .. +* * Purpose * ======= * -* ZGEMV performs one of the matrix-vector operations +*>\details \b Purpose: +*>\verbatim +*> +*> ZGEMV performs one of the matrix-vector operations +*> +*> y := alpha*A*x + beta*y, or y := alpha*A**T*x + beta*y, or +*> +*> y := alpha*A**H*x + beta*y, +*> +*> where alpha and beta are scalars, x and y are vectors and A is an +*> m by n matrix. +*> +*>\endverbatim * -* y := alpha*A*x + beta*y, or y := alpha*A**T*x + beta*y, or +* Arguments +* ========= +* +*> \param[in] TRANS +*> \verbatim +*> TRANS is CHARACTER*1 +*> On entry, TRANS specifies the operation to be performed as +*> follows: +*> \endverbatim +*> \verbatim +*> TRANS = 'N' or 'n' y := alpha*A*x + beta*y. +*> \endverbatim +*> \verbatim +*> TRANS = 'T' or 't' y := alpha*A**T*x + beta*y. +*> \endverbatim +*> \verbatim +*> TRANS = 'C' or 'c' y := alpha*A**H*x + beta*y. +*> \endverbatim +*> +*> \param[in] M +*> \verbatim +*> M is INTEGER +*> On entry, M specifies the number of rows of the matrix A. +*> M must be at least zero. +*> \endverbatim +*> +*> \param[in] N +*> \verbatim +*> N is INTEGER +*> On entry, N specifies the number of columns of the matrix A. +*> N must be at least zero. +*> \endverbatim +*> +*> \param[in] ALPHA +*> \verbatim +*> ALPHA is COMPLEX*16 +*> On entry, ALPHA specifies the scalar alpha. +*> \endverbatim +*> +*> \param[in] A +*> \verbatim +*> A is COMPLEX*16 array of DIMENSION ( LDA, n ). +*> Before entry, the leading m by n part of the array A must +*> contain the matrix of coefficients. +*> \endverbatim +*> +*> \param[in] LDA +*> \verbatim +*> LDA is INTEGER +*> On entry, LDA specifies the first dimension of A as declared +*> in the calling (sub) program. LDA must be at least +*> max( 1, m ). +*> \endverbatim +*> +*> \param[in] X +*> \verbatim +*> X is COMPLEX*16 array of DIMENSION at least +*> ( 1 + ( n - 1 )*abs( INCX ) ) when TRANS = 'N' or 'n' +*> and at least +*> ( 1 + ( m - 1 )*abs( INCX ) ) otherwise. +*> Before entry, the incremented array X must contain the +*> vector x. +*> \endverbatim +*> +*> \param[in] INCX +*> \verbatim +*> INCX is INTEGER +*> On entry, INCX specifies the increment for the elements of +*> X. INCX must not be zero. +*> \endverbatim +*> +*> \param[in] BETA +*> \verbatim +*> BETA is COMPLEX*16 +*> On entry, BETA specifies the scalar beta. When BETA is +*> supplied as zero then Y need not be set on input. +*> \endverbatim +*> +*> \param[in,out] Y +*> \verbatim +*> Y is COMPLEX*16 array of DIMENSION at least +*> ( 1 + ( m - 1 )*abs( INCY ) ) when TRANS = 'N' or 'n' +*> and at least +*> ( 1 + ( n - 1 )*abs( INCY ) ) otherwise. +*> Before entry with BETA non-zero, the incremented array Y +*> must contain the vector y. On exit, Y is overwritten by the +*> updated vector y. +*> \endverbatim +*> +*> \param[in] INCY +*> \verbatim +*> INCY is INTEGER +*> On entry, INCY specifies the increment for the elements of +*> Y. INCY must not be zero. +*> \endverbatim +*> +* +* Authors +* ======= * -* y := alpha*A**H*x + beta*y, +*> \author Univ. of Tennessee +*> \author Univ. of California Berkeley +*> \author Univ. of Colorado Denver +*> \author NAG Ltd. * -* where alpha and beta are scalars, x and y are vectors and A is an -* m by n matrix. +*> \date November 2011 * -* Arguments -* ========== +*> \ingroup complex16_blas_level2 * -* TRANS - CHARACTER*1. -* On entry, TRANS specifies the operation to be performed as -* follows: -* -* TRANS = 'N' or 'n' y := alpha*A*x + beta*y. -* -* TRANS = 'T' or 't' y := alpha*A**T*x + beta*y. -* -* TRANS = 'C' or 'c' y := alpha*A**H*x + beta*y. -* -* Unchanged on exit. -* -* M - INTEGER. -* On entry, M specifies the number of rows of the matrix A. -* M must be at least zero. -* Unchanged on exit. -* -* N - INTEGER. -* On entry, N specifies the number of columns of the matrix A. -* N must be at least zero. -* Unchanged on exit. -* -* ALPHA - COMPLEX*16 . -* On entry, ALPHA specifies the scalar alpha. -* Unchanged on exit. -* -* A - COMPLEX*16 array of DIMENSION ( LDA, n ). -* Before entry, the leading m by n part of the array A must -* contain the matrix of coefficients. -* Unchanged on exit. -* -* LDA - INTEGER. -* On entry, LDA specifies the first dimension of A as declared -* in the calling (sub) program. LDA must be at least -* max( 1, m ). -* Unchanged on exit. -* -* X - COMPLEX*16 array of DIMENSION at least -* ( 1 + ( n - 1 )*abs( INCX ) ) when TRANS = 'N' or 'n' -* and at least -* ( 1 + ( m - 1 )*abs( INCX ) ) otherwise. -* Before entry, the incremented array X must contain the -* vector x. -* Unchanged on exit. -* -* INCX - INTEGER. -* On entry, INCX specifies the increment for the elements of -* X. INCX must not be zero. -* Unchanged on exit. -* -* BETA - COMPLEX*16 . -* On entry, BETA specifies the scalar beta. When BETA is -* supplied as zero then Y need not be set on input. -* Unchanged on exit. -* -* Y - COMPLEX*16 array of DIMENSION at least -* ( 1 + ( m - 1 )*abs( INCY ) ) when TRANS = 'N' or 'n' -* and at least -* ( 1 + ( n - 1 )*abs( INCY ) ) otherwise. -* Before entry with BETA non-zero, the incremented array Y -* must contain the vector y. On exit, Y is overwritten by the -* updated vector y. -* -* INCY - INTEGER. -* On entry, INCY specifies the increment for the elements of -* Y. INCY must not be zero. -* Unchanged on exit. * * Further Details * =============== +*>\details \b Further \b Details +*> \verbatim +*> +*> Level 2 Blas routine. +*> The vector and matrix arguments are not referenced when N = 0, or M = 0 +*> +*> -- Written on 22-October-1986. +*> Jack Dongarra, Argonne National Lab. +*> Jeremy Du Croz, Nag Central Office. +*> Sven Hammarling, Nag Central Office. +*> Richard Hanson, Sandia National Labs. +*> +*> \endverbatim +*> +* ===================================================================== + SUBROUTINE ZGEMV(TRANS,M,N,ALPHA,A,LDA,X,INCX,BETA,Y,INCY) * -* Level 2 Blas routine. -* The vector and matrix arguments are not referenced when N = 0, or M = 0 +* -- Reference BLAS level2 routine (version 3.4.0) -- +* -- Reference BLAS is a software package provided by Univ. of Tennessee, -- +* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- +* November 2011 * -* -- Written on 22-October-1986. -* Jack Dongarra, Argonne National Lab. -* Jeremy Du Croz, Nag Central Office. -* Sven Hammarling, Nag Central Office. -* Richard Hanson, Sandia National Labs. +* .. Scalar Arguments .. + COMPLEX*16 ALPHA,BETA + INTEGER INCX,INCY,LDA,M,N + CHARACTER TRANS +* .. +* .. Array Arguments .. + COMPLEX*16 A(LDA,*),X(*),Y(*) +* .. * * ===================================================================== * |