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CHER(l)				 BLAS routine			       CHER(l)

NAME
       CHER  - perform the hermitian rank 1 operation	A := alpha*x*conjg( x'
       ) + A,

SYNOPSIS
       SUBROUTINE CHER ( UPLO, N, ALPHA, X, INCX, A, LDA )

	   REAL	       ALPHA

	   INTEGER     INCX, LDA, N

	   CHARACTER*1 UPLO

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

PURPOSE
       CHER   performs the hermitian rank 1 operation

       where alpha is a real scalar, x is an n element vector 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  - REAL		.
	      On entry, ALPHA specifies the scalar alpha.  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.

       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. On exit, the upper triangular  part
	      of  the  array  A is overwritten by the upper triangular part of
	      the updated matrix.  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. On exit,
	      the lower triangular part of the array A is overwritten  by  the
	      lower  triangular	 part  of  the	updated matrix.	 Note that the
	      imaginary parts of the diagonal elements need not be  set,  they
	      are assumed to be zero, and on exit they are set to zero.

       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.

	      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			16 October 1992			       CHER(l)
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