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RedHat 9 (Linux i386) - man page for cspr (redhat section l)

CSPR(l) 					)					  CSPR(l)

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

SYNOPSIS
       SUBROUTINE CSPR( UPLO, N, ALPHA, X, INCX, AP )

	   CHARACTER	UPLO

	   INTEGER	INCX, N

	   COMPLEX	ALPHA

	   COMPLEX	AP( * ), X( * )

PURPOSE
       CSPR  performs the symmetric rank 1 operation A := alpha*x*conjg( x' ) + A, where alpha is
       a complex scalar, x is an n element vector and A is an n by n symmetric	matrix,  supplied
       in packed form.

ARGUMENTS
       UPLO   - CHARACTER*1
	      On entry, UPLO specifies whether the upper or lower triangular part of the matrix A
	      is supplied in the packed array AP as follows:

	      UPLO = 'U' or 'u'   The upper triangular part of A is supplied in AP.

	      UPLO = 'L' or 'l'   The lower triangular part of A is supplied in AP.

	      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.

       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.

       AP     - COMPLEX array, dimension at least
	      (  (  N*(  N + 1 ) )/2 ).  Before entry, with  UPLO = 'U' or 'u', the array AP must
	      contain the upper triangular part of the symmetric matrix packed sequentially, col-
	      umn  by  column, so that AP( 1 ) contains a( 1, 1 ), AP( 2 ) and AP( 3 ) contain a(
	      1, 2 ) and a( 2, 2 ) respectively, and so on. On exit, the array AP is  overwritten
	      by  the upper triangular part of the updated matrix.  Before entry, with UPLO = 'L'
	      or 'l', the array AP must contain the lower triangular part of the symmetric matrix
	      packed  sequentially, column by column, so that AP( 1 ) contains a( 1, 1 ), AP( 2 )
	      and AP( 3 ) contain a( 2, 1 ) and a( 3, 1 ) respectively, and so on. On  exit,  the
	      array  AP  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.

LAPACK version 3.0			   15 June 2000 				  CSPR(l)


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