chemv man page on Scientific

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CHEMV(1)			 BLAS routine			      CHEMV(1)

NAME
       CHEMV - performs 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					       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.

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 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 over‐
	      written 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
       Level 2 Blas routine.

       -- 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.

BLAS routine			 November 2008			      CHEMV(1)
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