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

ZHERK(l)				   BLAS routine 				 ZHERK(l)

NAME
       ZHERK  -  perform  one  of  the	hermitian  rank k operations   C := alpha*A*conjg( A' ) +
       beta*C,

SYNOPSIS
       SUBROUTINE ZHERK ( UPLO, TRANS, N, K, ALPHA, A, LDA, BETA, C, LDC )

	   CHARACTER*1	UPLO, TRANS

	   INTEGER	N, K, LDA, LDC

	   DOUBLE	PRECISION ALPHA, BETA

	   COMPLEX*16	A( LDA, * ), C( LDC, * )

PURPOSE
       ZHERK  performs one of the hermitian rank k operations

       or

	  C := alpha*conjg( A' )*A + beta*C,

       where  alpha and beta  are  real scalars,  C is an  n by n  hermitian 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   - 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.

	      Unchanged on exit.

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

	      TRANS = 'N' or 'n'   C := alpha*A*conjg( A' ) + beta*C.

	      TRANS = 'C' or 'c'   C := alpha*conjg( A' )*A + beta*C.

	      Unchanged on exit.

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

       K      - INTEGER.
	      On  entry with  TRANS = 'N' or 'n',  K  specifies  the number of	columns   of  the
	      matrix   A,   and  on   entry   with TRANS = 'C' or 'c',	K  specifies  the  number
	      of rows of the matrix A.	K must be at least zero.  Unchanged on exit.

       ALPHA  - DOUBLE PRECISION.
	      On entry, ALPHA specifies the scalar alpha.  Unchanged on exit.

       A      - COMPLEX*16	 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.
	      Unchanged on exit.

       LDA    - 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 ).  Unchanged on exit.

       BETA   - DOUBLE PRECISION.
	      On entry, BETA specifies the scalar beta.  Unchanged on exit.

       C      - COMPLEX*16	 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  hermitian 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  her-
	      mitian 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 trian-
	      gular 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.

       LDC    - 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 ).  Unchanged on exit.

	      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  Hammar-
	      ling, Numerical Algorithms Group Ltd.

BLAS routine				 16 October 1992				 ZHERK(l)


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