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CSYR(1)		    LAPACK auxiliary routine (version 3.2)	       CSYR(1)

NAME
       CSYR  - performs the symmetric rank 1 operation	 A := alpha*x*( x' ) +
       A,

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

	   CHARACTER	UPLO

	   INTEGER	INCX, LDA, N

	   COMPLEX	ALPHA

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

PURPOSE
       CSYR   performs the symmetric rank 1 operation where alpha is a complex
       scalar, x is an n element vector and A is an n by n symmetric matrix.

ARGUMENTS
       UPLO	(input) 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 refer‐
		enced.	UPLO = 'L' or 'l'   Only the lower triangular part  of
		A is to be referenced.	Unchanged on exit.

       N	(input) INTEGER
		On entry, N specifies the order of the matrix A.  N must be at
		least zero.  Unchanged on exit.

       ALPHA	(input) COMPLEX
		On entry, ALPHA specifies  the	scalar	alpha.	 Unchanged  on
		exit.

       X	(input) 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	(input) INTEGER
		On  entry, INCX specifies the increment for the elements of X.
		INCX must not be zero.	Unchanged on exit.

       A	(input/output) 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. 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 sym‐
		metric 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.

       LDA	(input) 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.

 LAPACK auxiliary routine (versioNovember 2008			       CSYR(1)
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