zspmv(l) [redhat man page]

ZSPMV(l)								 )								  ZSPMV(l)

NAME

       ZSPMV - perform the matrix-vector operation  y := alpha*A*x + beta*y,

SYNOPSIS

       SUBROUTINE ZSPMV( UPLO, N, ALPHA, AP, X, INCX, BETA, Y, INCY )

	   CHARACTER	 UPLO

	   INTEGER	 INCX, INCY, N

	   COMPLEX*16	 ALPHA, BETA

	   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   - 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*16
	      On entry, ALPHA specifies the scalar alpha.  Unchanged on exit.

       AP     - 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 symmet-
	      ric  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      - 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   - 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, 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.

LAPACK version 3.0						   15 June 2000 							  ZSPMV(l)

CHPMV(l)							   BLAS routine 							  CHPMV(l)

NAME

       CHPMV - perform the matrix-vector operation   y := alpha*A*x + beta*y,

SYNOPSIS

       SUBROUTINE CHPMV ( UPLO, N, ALPHA, AP, X, INCX, BETA, Y, INCY )

	   COMPLEX	ALPHA, BETA

	   INTEGER	INCX, INCY, N

	   CHARACTER*1	UPLO

	   COMPLEX	AP( * ), X( * ), Y( * )

PURPOSE

       CHPMV  performs the matrix-vector operation

       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.

PARAMETERS

       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 hermit-
	      ian 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.

	      Level 2 Blas routine.

	      -- Written on 22-October-1986.  Jack Dongarra, Argonne National Lab.  Jeremy Du Croz, Nag Central Office.  Sven Hammarling, Nag Cen-
	      tral Office.  Richard Hanson, Sandia National Labs.

BLAS routine							  16 October 1992							  CHPMV(l)