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Diffstat (limited to 'BLAS/SRC/chpmv.f')
| -rw-r--r-- | BLAS/SRC/chpmv.f | 243 |
1 files changed, 157 insertions, 86 deletions
diff --git a/BLAS/SRC/chpmv.f b/BLAS/SRC/chpmv.f index 264bdb24..857293aa 100644 --- a/BLAS/SRC/chpmv.f +++ b/BLAS/SRC/chpmv.f @@ -1,102 +1,173 @@ - SUBROUTINE CHPMV(UPLO,N,ALPHA,AP,X,INCX,BETA,Y,INCY) -* .. Scalar Arguments .. - COMPLEX ALPHA,BETA - INTEGER INCX,INCY,N - CHARACTER UPLO -* .. -* .. Array Arguments .. - COMPLEX AP(*),X(*),Y(*) -* .. +*> \brief \b CHPMV +* +* =========== DOCUMENTATION =========== +* +* Online html documentation available at +* http://www.netlib.org/lapack/explore-html/ * +* Definition +* ========== +* +* SUBROUTINE CHPMV(UPLO,N,ALPHA,AP,X,INCX,BETA,Y,INCY) +* +* .. Scalar Arguments .. +* COMPLEX ALPHA,BETA +* INTEGER INCX,INCY,N +* CHARACTER UPLO +* .. +* .. Array Arguments .. +* COMPLEX AP(*),X(*),Y(*) +* .. +* * Purpose * ======= * -* CHPMV performs the matrix-vector operation +*>\details \b Purpose: +*>\verbatim +*> +*> CHPMV performs the matrix-vector operation +*> +*> y := alpha*A*x + beta*y, +*> +*> where alpha and beta are scalars, x and y are n element vectors and +*> A is an n by n hermitian matrix, supplied in packed form. +*> +*>\endverbatim +* +* Arguments +* ========= +* +*> \param[in] UPLO +*> \verbatim +*> UPLO is CHARACTER*1 +*> On entry, UPLO specifies whether the upper or lower +*> triangular part of the matrix A is supplied in the packed +*> array AP as follows: +*> \endverbatim +*> \verbatim +*> UPLO = 'U' or 'u' The upper triangular part of A is +*> supplied in AP. +*> \endverbatim +*> \verbatim +*> UPLO = 'L' or 'l' The lower triangular part of A is +*> supplied in AP. +*> \endverbatim +*> +*> \param[in] N +*> \verbatim +*> N is INTEGER +*> On entry, N specifies the order of the matrix A. +*> N must be at least zero. +*> \endverbatim +*> +*> \param[in] ALPHA +*> \verbatim +*> ALPHA is COMPLEX +*> On entry, ALPHA specifies the scalar alpha. +*> \endverbatim +*> +*> \param[in] AP +*> \verbatim +*> AP is COMPLEX array of DIMENSION at least +*> ( ( n*( n + 1 ) )/2 ). +*> Before entry with UPLO = 'U' or 'u', the array AP must +*> contain the upper triangular part of the hermitian matrix +*> packed sequentially, column by column, so that AP( 1 ) +*> contains a( 1, 1 ), AP( 2 ) and AP( 3 ) contain a( 1, 2 ) +*> and a( 2, 2 ) respectively, and so on. +*> Before entry with UPLO = 'L' or 'l', the array AP must +*> contain the lower triangular part of the hermitian matrix +*> packed sequentially, column by column, so that AP( 1 ) +*> contains a( 1, 1 ), AP( 2 ) and AP( 3 ) contain a( 2, 1 ) +*> and a( 3, 1 ) respectively, and so on. +*> Note that the imaginary parts of the diagonal elements need +*> not be set and are assumed to be zero. +*> \endverbatim +*> +*> \param[in] X +*> \verbatim +*> X is COMPLEX array of dimension at least +*> ( 1 + ( n - 1 )*abs( INCX ) ). +*> Before entry, the incremented array X must contain the n +*> element 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 +*> 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 array of dimension at least +*> ( 1 + ( n - 1 )*abs( INCY ) ). +*> Before entry, the incremented array Y must contain the n +*> element 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*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 n element vectors and -* A is an n by n hermitian matrix, supplied in packed form. +*> \date November 2011 * -* Arguments -* ========== +*> \ingroup complex_blas_level2 * -* UPLO - CHARACTER*1. -* On entry, UPLO specifies whether the upper or lower -* triangular part of the matrix A is supplied in the packed -* array AP as follows: -* -* UPLO = 'U' or 'u' The upper triangular part of A is -* supplied in AP. -* -* UPLO = 'L' or 'l' The lower triangular part of A is -* supplied in AP. -* -* Unchanged on exit. -* -* N - INTEGER. -* On entry, N specifies the order of the matrix A. -* N must be at least zero. -* Unchanged on exit. -* -* ALPHA - COMPLEX . -* On entry, ALPHA specifies the scalar alpha. -* Unchanged on exit. -* -* AP - COMPLEX array of DIMENSION at least -* ( ( n*( n + 1 ) )/2 ). -* Before entry with UPLO = 'U' or 'u', the array AP must -* contain the upper triangular part of the hermitian matrix -* packed sequentially, column by column, so that AP( 1 ) -* contains a( 1, 1 ), AP( 2 ) and AP( 3 ) contain a( 1, 2 ) -* and a( 2, 2 ) respectively, and so on. -* Before entry with UPLO = 'L' or 'l', the array AP must -* contain the lower triangular part of the hermitian matrix -* packed sequentially, column by column, so that AP( 1 ) -* contains a( 1, 1 ), AP( 2 ) and AP( 3 ) contain a( 2, 1 ) -* and a( 3, 1 ) respectively, and so on. -* Note that the imaginary parts of the diagonal elements need -* not be set and are assumed to be zero. -* Unchanged on exit. -* -* X - COMPLEX array of dimension at least -* ( 1 + ( n - 1 )*abs( INCX ) ). -* Before entry, the incremented array X must contain the n -* element 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 . -* 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 array of dimension at least -* ( 1 + ( n - 1 )*abs( INCY ) ). -* Before entry, the incremented array Y must contain the n -* element 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 CHPMV(UPLO,N,ALPHA,AP,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 ALPHA,BETA + INTEGER INCX,INCY,N + CHARACTER UPLO +* .. +* .. Array Arguments .. + COMPLEX AP(*),X(*),Y(*) +* .. * * ===================================================================== * |