csymv(l) [redhat man page]

CSYMV(l)								 )								  CSYMV(l)

NAME

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

SYNOPSIS

       SUBROUTINE CSYMV( UPLO, N, ALPHA, A, LDA, X, INCX, BETA, Y, INCY )

	   CHARACTER	 UPLO

	   INTEGER	 INCX, INCY, LDA, N

	   COMPLEX	 ALPHA, BETA

	   COMPLEX	 A( LDA, * ), X( * ), Y( * )

PURPOSE

       CSYMV  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.

ARGUMENTS

       UPLO   - CHARACTER*1
	      On entry, UPLO specifies whether the upper or lower triangular part of the array A is to be referenced as follows:

	      UPLO = 'U' or 'u'   Only the upper triangular part of A is to be referenced.

	      UPLO = 'L' or 'l'   Only the lower triangular part of A is to be referenced.

	      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.

       A      - COMPLEX array, dimension ( LDA, N )
	      Before entry, with  UPLO = 'U' or 'u', the leading n by n upper triangular part of the array A must  contain  the  upper	triangular
	      part  of	the symmetric matrix and the strictly lower triangular part of A is not referenced.  Before entry, with UPLO = 'L' or 'l',
	      the leading n by n lower triangular part of the array A must contain the lower triangular part  of  the  symmetric  matrix  and  the
	      strictly upper triangular part of A is not referenced.  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, N ).
	      Unchanged on exit.

       X      - COMPLEX 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
	      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, 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 							  CSYMV(l)

CHEMV(l)							   BLAS routine 							  CHEMV(l)

NAME

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

SYNOPSIS

       SUBROUTINE CHEMV ( UPLO, N, ALPHA, A, LDA, X, INCX, BETA, Y, INCY )

	   COMPLEX	ALPHA, BETA

	   INTEGER	INCX, INCY, LDA, N

	   CHARACTER*1	UPLO

	   COMPLEX	A( LDA, * ), X( * ), Y( * )

PURPOSE

       CHEMV  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.

PARAMETERS

       UPLO   - CHARACTER*1.
	      On entry, UPLO specifies whether the upper or lower triangular part of the array A is to be referenced as follows:

	      UPLO = 'U' or 'u'   Only the upper triangular part of A is to be referenced.

	      UPLO = 'L' or 'l'   Only the lower triangular part of A is to be referenced.

	      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.

       A      - COMPLEX 	 array of DIMENSION ( LDA, n ).
	      Before entry with  UPLO = 'U' or 'u', the leading n by n upper triangular part of the array A must contain the upper triangular part
	      of the hermitian matrix and the strictly lower triangular part of A is not referenced.  Before entry with UPLO =	'L'  or  'l',  the
	      leading  n by n lower triangular part of the array A must contain the lower triangular part of the hermitian matrix and the strictly
	      upper triangular part of A is not referenced.  Note that the imaginary parts of the diagonal  elements  need  not  be  set  and  are
	      assumed to be zero.  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, n ).
	      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							  CHEMV(l)