SUBROUTINECHERF(UPLO,N,ALPHA,X,INCX,A,LDA)
*..ScalarArguments..
REALALPHA
INTEGERINCX,LDA,N
CHARACTER*1UPLO
*..ArrayArguments..
COMPLEXA(LDA,*),X(*)
*..
*
*Purpose
*=======
*
*CHERperformsthehermitianrank1operation
*
*A:=alpha*x*conjg(x' ) + A,
*
* 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.
*
*
* .. Parameters ..
 COMPLEX ZERO
 PARAMETER ( ZERO = ( 0.0E+0, 0.0E+0 ) )
* .. Local Scalars ..
 COMPLEX TEMP
 INTEGER I, INFO, IX, J, JX, KX
* .. External Functions ..
 LOGICAL LSAME
 EXTERNAL LSAME
* .. External Subroutines ..
 EXTERNAL XERBLA
* .. Intrinsic Functions ..
 INTRINSIC CONJG, MAX, REAL
* ..
* .. Executable Statements ..
*
* Test the input parameters.
*
 INFO = 0
 IF ( .NOT.LSAME( UPLO, 'U' ).AND.
 $ .NOT.LSAME( UPLO, 'L' ) )THEN
 INFO = 1
 ELSE IF( N.LT.0 )THEN
 INFO = 2
 ELSE IF( INCX.EQ.0 )THEN
 INFO = 5
 ELSE IF( LDA.LT.MAX( 1, N ) )THEN
 INFO = 7
 END IF
 IF( INFO.NE.0 )THEN
 CALL XERBLA( 'CHER', INFO )
 RETURN
 END IF
*
* Quick return if possible.
*
 IF( ( N.EQ.0 ).OR.( ALPHA.EQ.REAL( ZERO ) ) )
 $ RETURN
*
* Set the start point in X if the increment is not unity.
*
 IF( INCX.LE.0 )THEN
 KX = 1 - ( N - 1 )*INCX
 ELSE IF( INCX.NE.1 )THEN
 KX = 1
 END IF
*
* Start the operations. In this version the elements of A are
* accessed sequentially with one pass through the triangular part
* of A.
*
 IF( LSAME( UPLO, 'U' ) )THEN
*
* Form A when A is stored in upper triangle.
*
 IF( INCX.EQ.1 )THEN
 DO 20, J = 1, N
 IF( X( J ).NE.ZERO )THEN
 TEMP = ALPHA*CONJG( X( J ) )
 DO 10, I = 1, J - 1
 A( I, J ) = A( I, J ) + X( I )*TEMP
 10 CONTINUE
 A( J, J ) = REAL( A( J, J ) ) + REAL( X( J )*TEMP )
 ELSE
 A( J, J ) = REAL( A( J, J ) )
 END IF
 20 CONTINUE
 ELSE
 JX = KX
 DO 40, J = 1, N
 IF( X( JX ).NE.ZERO )THEN
 TEMP = ALPHA*CONJG( X( JX ) )
 IX = KX
 DO 30, I = 1, J - 1
 A( I, J ) = A( I, J ) + X( IX )*TEMP
 IX = IX + INCX
 30 CONTINUE
 A( J, J ) = REAL( A( J, J ) ) + REAL( X( JX )*TEMP )
 ELSE
 A( J, J ) = REAL( A( J, J ) )
 END IF
 JX = JX + INCX
 40 CONTINUE
 END IF
 ELSE
*
* Form A when A is stored in lower triangle.
*
 IF( INCX.EQ.1 )THEN
 DO 60, J = 1, N
 IF( X( J ).NE.ZERO )THEN
 TEMP = ALPHA*CONJG( X( J ) )
 A( J, J ) = REAL( A( J, J ) ) + REAL( TEMP*X( J ) )
 DO 50, I = J + 1, N
 A( I, J ) = A( I, J ) + X( I )*TEMP
 50 CONTINUE
 ELSE
 A( J, J ) = REAL( A( J, J ) )
 END IF
 60 CONTINUE
 ELSE
 JX = KX
 DO 80, J = 1, N
 IF( X( JX ).NE.ZERO )THEN
 TEMP = ALPHA*CONJG( X( JX ) )
 A( J, J ) = REAL( A( J, J ) ) + REAL( TEMP*X( JX ) )
 IX = JX
 DO 70, I = J + 1, N
 IX = IX + INCX
 A( I, J ) = A( I, J ) + X( IX )*TEMP
 70 CONTINUE
 ELSE
 A( J, J ) = REAL( A( J, J ) )
 END IF
 JX = JX + INCX
 80 CONTINUE
 END IF
 END IF
*
 RETURN
*
* End of CHER .
*
 END