.TH "SRC/zhfrk.f" 3 "Version 3.12.0" "LAPACK" \" -*- nroff -*-
.ad l
.nh
.SH NAME
SRC/zhfrk.f
.SH SYNOPSIS
.br
.PP
.SS "Functions/Subroutines"

.in +1c
.ti -1c
.RI "subroutine \fBzhfrk\fP (transr, uplo, trans, n, k, alpha, a, lda, beta, c)"
.br
.RI "\fBZHFRK\fP performs a Hermitian rank-k operation for matrix in RFP format\&. "
.in -1c
.SH "Function/Subroutine Documentation"
.PP 
.SS "subroutine zhfrk (character transr, character uplo, character trans, integer n, integer k, double precision alpha, complex*16, dimension( lda, * ) a, integer lda, double precision beta, complex*16, dimension( * ) c)"

.PP
\fBZHFRK\fP performs a Hermitian rank-k operation for matrix in RFP format\&.  
.PP
\fBPurpose:\fP
.RS 4

.PP
.nf
 Level 3 BLAS like routine for C in RFP Format\&.

 ZHFRK performs one of the Hermitian rank--k operations

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

 or

    C := alpha*A**H*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\&.
.fi
.PP
 
.RE
.PP
\fBParameters\fP
.RS 4
\fITRANSR\fP 
.PP
.nf
          TRANSR is CHARACTER*1
          = 'N':  The Normal Form of RFP A is stored;
          = 'C':  The Conjugate-transpose Form of RFP A is stored\&.
.fi
.PP
.br
\fIUPLO\fP 
.PP
.nf
          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\&.

           Unchanged on exit\&.
.fi
.PP
.br
\fITRANS\fP 
.PP
.nf
          TRANS is CHARACTER*1
           On entry,  TRANS  specifies the operation to be performed as
           follows:

              TRANS = 'N' or 'n'   C := alpha*A*A**H + beta*C\&.

              TRANS = 'C' or 'c'   C := alpha*A**H*A + beta*C\&.

           Unchanged on exit\&.
.fi
.PP
.br
\fIN\fP 
.PP
.nf
          N is INTEGER
           On entry,  N specifies the order of the matrix C\&.  N must be
           at least zero\&.
           Unchanged on exit\&.
.fi
.PP
.br
\fIK\fP 
.PP
.nf
          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 = 'C' or 'c',  K  specifies  the number of rows of the
           matrix A\&.  K must be at least zero\&.
           Unchanged on exit\&.
.fi
.PP
.br
\fIALPHA\fP 
.PP
.nf
          ALPHA is DOUBLE PRECISION
           On entry, ALPHA specifies the scalar alpha\&.
           Unchanged on exit\&.
.fi
.PP
.br
\fIA\fP 
.PP
.nf
          A is COMPLEX*16 array, 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\&.
.fi
.PP
.br
\fILDA\fP 
.PP
.nf
          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 )\&.
           Unchanged on exit\&.
.fi
.PP
.br
\fIBETA\fP 
.PP
.nf
          BETA is DOUBLE PRECISION
           On entry, BETA specifies the scalar beta\&.
           Unchanged on exit\&.
.fi
.PP
.br
\fIC\fP 
.PP
.nf
          C is COMPLEX*16 array, dimension (N*(N+1)/2)
           On entry, the matrix A in RFP Format\&. RFP Format is
           described by TRANSR, UPLO and N\&. 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\&.
.fi
.PP
 
.RE
.PP
\fBAuthor\fP
.RS 4
Univ\&. of Tennessee 
.PP
Univ\&. of California Berkeley 
.PP
Univ\&. of Colorado Denver 
.PP
NAG Ltd\&. 
.RE
.PP

.PP
Definition at line \fB166\fP of file \fBzhfrk\&.f\fP\&.
.SH "Author"
.PP 
Generated automatically by Doxygen for LAPACK from the source code\&.