--- rpl/lapack/lapack/zspmv.f 2010/12/21 13:53:55 1.7 +++ rpl/lapack/lapack/zspmv.f 2011/11/21 20:43:20 1.8 @@ -1,9 +1,160 @@ +*> \brief \b ZSPMV +* +* =========== DOCUMENTATION =========== +* +* Online html documentation available at +* http://www.netlib.org/lapack/explore-html/ +* +*> \htmlonly +*> Download ZSPMV + dependencies +*> +*> [TGZ] +*> +*> [ZIP] +*> +*> [TXT] +*> \endhtmlonly +* +* Definition: +* =========== +* +* SUBROUTINE ZSPMV( UPLO, N, ALPHA, AP, X, INCX, BETA, Y, INCY ) +* +* .. Scalar Arguments .. +* CHARACTER UPLO +* INTEGER INCX, INCY, N +* COMPLEX*16 ALPHA, BETA +* .. +* .. Array Arguments .. +* COMPLEX*16 AP( * ), X( * ), Y( * ) +* .. +* +* +*> \par Purpose: +* ============= +*> +*> \verbatim +*> +*> ZSPMV 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 symmetric 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: +*> +*> 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. +*> \endverbatim +*> +*> \param[in] N +*> \verbatim +*> N is INTEGER +*> On entry, N specifies the order of the matrix A. +*> N must be at least zero. +*> Unchanged on exit. +*> \endverbatim +*> +*> \param[in] ALPHA +*> \verbatim +*> ALPHA is COMPLEX*16 +*> On entry, ALPHA specifies the scalar alpha. +*> Unchanged on exit. +*> \endverbatim +*> +*> \param[in] AP +*> \verbatim +*> AP is COMPLEX*16 array, 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 symmetric 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 symmetric 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. +*> Unchanged on exit. +*> \endverbatim +*> +*> \param[in] X +*> \verbatim +*> X is COMPLEX*16 array, dimension at least +*> ( 1 + ( N - 1 )*abs( INCX ) ). +*> Before entry, the incremented array X must contain the N- +*> element vector x. +*> Unchanged on exit. +*> \endverbatim +*> +*> \param[in] INCX +*> \verbatim +*> INCX is INTEGER +*> On entry, INCX specifies the increment for the elements of +*> X. INCX must not be zero. +*> Unchanged on exit. +*> \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. +*> Unchanged on exit. +*> \endverbatim +*> +*> \param[in,out] Y +*> \verbatim +*> Y is COMPLEX*16 array, 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. +*> Unchanged on exit. +*> \endverbatim +* +* Authors: +* ======== +* +*> \author Univ. of Tennessee +*> \author Univ. of California Berkeley +*> \author Univ. of Colorado Denver +*> \author NAG Ltd. +* +*> \date November 2011 +* +*> \ingroup complex16OTHERauxiliary +* +* ===================================================================== SUBROUTINE ZSPMV( UPLO, N, ALPHA, AP, X, INCX, BETA, Y, INCY ) * -* -- LAPACK auxiliary routine (version 3.2) -- +* -- LAPACK auxiliary routine (version 3.4.0) -- * -- LAPACK is a software package provided by Univ. of Tennessee, -- * -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- -* November 2006 +* November 2011 * * .. Scalar Arguments .. CHARACTER UPLO @@ -14,82 +165,6 @@ COMPLEX*16 AP( * ), X( * ), Y( * ) * .. * -* Purpose -* ======= -* -* ZSPMV 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 symmetric matrix, supplied in packed form. -* -* Arguments -* ========== -* -* UPLO (input) 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 (input) INTEGER -* On entry, N specifies the order of the matrix A. -* N must be at least zero. -* Unchanged on exit. -* -* ALPHA (input) COMPLEX*16 -* On entry, ALPHA specifies the scalar alpha. -* Unchanged on exit. -* -* AP (input) COMPLEX*16 array, 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 symmetric 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 symmetric 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. -* Unchanged on exit. -* -* X (input) COMPLEX*16 array, 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 (input) INTEGER -* On entry, INCX specifies the increment for the elements of -* X. INCX must not be zero. -* Unchanged on exit. -* -* BETA (input) 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 (input/output) COMPLEX*16 array, 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 (input) INTEGER -* On entry, INCY specifies the increment for the elements of -* Y. INCY must not be zero. -* Unchanged on exit. -* * ===================================================================== * * .. Parameters ..