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RedHat 9 (Linux i386) - man page for cher2k (redhat section l)

CHER2K(l)				   BLAS routine 				CHER2K(l)

NAME
       CHER2K  -  perform  one	of  the hermitian rank 2k operations   C := alpha*A*conjg( B' ) +
       conjg( alpha )*B*conjg( A' ) + beta*C,

SYNOPSIS
       SUBROUTINE CHER2K( UPLO, TRANS, N, K, ALPHA, A, LDA, B, LDB, BETA, C, LDC )

	   CHARACTER*1	  UPLO, TRANS

	   INTEGER	  N, K, LDA, LDB, LDC

	   REAL 	  BETA

	   COMPLEX	  ALPHA

	   COMPLEX	  A( LDA, * ), B( LDB, * ), C( LDC, * )

PURPOSE
       CHER2K  performs one of the hermitian rank 2k operations

       or

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

       where  alpha and beta  are scalars with	beta  real,  C is an  n by n hermitian matrix and
       A and B	are  n by k matrices in the first case and  k by n  matrices 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( B' )	      + conjg(	alpha  )*B*conjg(
	      A' ) + beta*C.

	      TRANS  = 'C' or 'c'    C := alpha*conjg( A' )*B	       + conjg( alpha )*conjg( B'
	      )*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
	      matrices	A and B,  and on  entry  with TRANS = 'C' or 'c',  K  specifies  the num-
	      ber of rows of the matrices  A and B.  K must be at least zero.  Unchanged on exit.

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

       A      - 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.
	      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.

       B      - COMPLEX 	 array of DIMENSION ( LDB, kb ), where kb 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  B  must contain the matrix  B,
	      otherwise the leading  k by n  part of the array	B  must contain   the  matrix  B.
	      Unchanged on exit.

       LDB    - INTEGER.
	      On  entry,  LDB  specifies  the  first  dimension of B as declared in  the  calling
	      (sub)  program.	When  TRANS = 'N' or 'n' then  LDB must be at least  max( 1, n ),
	      otherwise  LDB must be at least  max( 1, k ).  Unchanged on exit.

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

       C      - 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	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				CHER2K(l)


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