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CentOS 7.0 - man page for cspr (centos section 3)

cspr.f(3)				      LAPACK					cspr.f(3)

NAME
       cspr.f -

SYNOPSIS
   Functions/Subroutines
       subroutine cspr (UPLO, N, ALPHA, X, INCX, AP)
	   CSPR performs the symmetrical rank-1 update of a complex symmetric packed matrix.

Function/Subroutine Documentation
   subroutine cspr (characterUPLO, integerN, complexALPHA, complex, dimension( * )X, integerINCX,
       complex, dimension( * )AP)
       CSPR performs the symmetrical rank-1 update of a complex symmetric packed matrix.

       Purpose:

	    CSPR    performs the symmetric rank 1 operation

	       A := alpha*x*x**H + 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.

       Parameters:
	   UPLO

		     UPLO is 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

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

	   ALPHA

		     ALPHA is COMPLEX
		      On entry, ALPHA specifies the scalar alpha.
		      Unchanged on exit.

	   X

		     X is 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

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

	   AP

		     AP is 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, column 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.

       Author:
	   Univ. of Tennessee

	   Univ. of California Berkeley

	   Univ. of Colorado Denver

	   NAG Ltd.

       Date:
	   September 2012

       Definition at line 133 of file cspr.f.

Author
       Generated automatically by Doxygen for LAPACK from the source code.

Version 3.4.2				 Tue Sep 25 2012				cspr.f(3)


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