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csyrk.f(3)				      LAPACK				       csyrk.f(3)

NAME
       csyrk.f -

SYNOPSIS
   Functions/Subroutines
       subroutine csyrk (UPLO, TRANS, N, K, ALPHA, A, LDA, BETA, C, LDC)
	   CSYRK

Function/Subroutine Documentation
   subroutine csyrk (characterUPLO, characterTRANS, integerN, integerK, complexALPHA, complex,
       dimension(lda,*)A, integerLDA, complexBETA, complex, dimension(ldc,*)C, integerLDC)
       CSYRK Purpose:

	    CSYRK  performs one of the symmetric rank k operations

	       C := alpha*A*A**T + beta*C,

	    or

	       C := alpha*A**T*A + beta*C,

	    where  alpha and beta  are scalars,  C is an  n by n symmetric matrix
	    and  A  is an  n by k  matrix in the first case and a  k by n  matrix
	    in the second case.

       Parameters:
	   UPLO

		     UPLO is CHARACTER*1
		      On  entry,   UPLO  specifies  whether  the  upper  or  lower
		      triangular  part	of the	array  C  is to be  referenced	as
		      follows:

			 UPLO = 'U' or 'u'   Only the  upper triangular part of  C
					     is to be referenced.

			 UPLO = 'L' or 'l'   Only the  lower triangular part of  C
					     is to be referenced.

	   TRANS

		     TRANS is CHARACTER*1
		      On entry,  TRANS	specifies the operation to be performed as
		      follows:

			 TRANS = 'N' or 'n'   C := alpha*A*A**T + beta*C.

			 TRANS = 'T' or 't'   C := alpha*A**T*A + beta*C.

	   N

		     N is INTEGER
		      On entry,  N specifies the order of the matrix C.  N must be
		      at least zero.

	   K

		     K is INTEGER
		      On entry with  TRANS = 'N' or 'n',  K  specifies	the number
		      of  columns   of	the   matrix   A,   and  on   entry   with
		      TRANS = 'T' or 't',  K  specifies  the number of rows of the
		      matrix A.  K must be at least zero.

	   ALPHA

		     ALPHA is COMPLEX
		      On entry, ALPHA specifies the scalar alpha.

	   A

		     A is COMPLEX array of DIMENSION ( LDA, ka ), where ka is
		      k  when  TRANS = 'N' or 'n',  and is  n  otherwise.
		      Before entry with  TRANS = 'N' or 'n',  the  leading  n by k
		      part of the array  A  must contain the matrix  A,  otherwise
		      the leading  k by n  part of the array  A  must contain  the
		      matrix A.

	   LDA

		     LDA is INTEGER
		      On entry, LDA specifies the first dimension of A as declared
		      in  the  calling	(sub)  program.   When	TRANS = 'N' or 'n'
		      then  LDA must be at least  max( 1, n ), otherwise  LDA must
		      be at least  max( 1, k ).

	   BETA

		     BETA is COMPLEX
		      On entry, BETA specifies the scalar beta.

	   C

		     C is COMPLEX array of DIMENSION ( LDC, n ).
		      Before entry  with  UPLO = 'U' or 'u',  the leading  n by n
		      upper triangular part of the array C must contain the upper
		      triangular part  of the  symmetric matrix  and the strictly
		      lower triangular part of C is not referenced.  On exit, the
		      upper triangular part of the array  C 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 C must contain the lower
		      triangular part  of the  symmetric matrix  and the strictly
		      upper triangular part of C is not referenced.  On exit, the
		      lower triangular part of the array  C is overwritten by the
		      lower triangular part of the updated matrix.

	   LDC

		     LDC is INTEGER
		      On entry, LDC specifies the first dimension of C as declared
		      in  the  calling	(sub)  program.   LDC  must  be  at  least
		      max( 1, n ).

       Author:
	   Univ. of Tennessee

	   Univ. of California Berkeley

	   Univ. of Colorado Denver

	   NAG Ltd.

       Date:
	   November 2011

       Further Details:

	     Level 3 Blas routine.

	     -- Written on 8-February-1989.
		Jack Dongarra, Argonne National Laboratory.
		Iain Duff, AERE Harwell.
		Jeremy Du Croz, Numerical Algorithms Group Ltd.
		Sven Hammarling, Numerical Algorithms Group Ltd.

       Definition at line 168 of file csyrk.f.

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

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