zhfrk - k operation for matrix in RFP format
SUBROUTINE ZHFRK(TRANSR, UPLO, TRANS, N, K, ALPHA, A, LDA, BETA, C) DOUBLE PRECISION ALPHA, BETA INTEGER K, LDA, N CHARACTER*1 TRANS, TRANSR, UPLO DOUBLE COMPLEX A(LDA,*), C(*) SUBROUTINE ZHFRK_64(TRANSR, UPLO, TRANS, N, K, ALPHA, A, LDA, BETA, C) DOUBLE PRECISION ALPHA, BETA INTEGER*8 K, LDA, N CHARACTER*1 TRANS, TRANSR, UPLO DOUBLE COMPLEX A(LDA,*), C(*) F95 INTERFACE SUBROUTINE HFRK(TRANSR, UPLO, TRANS, N, K, ALPHA, A, LDA, BETA, C) INTEGER :: N, K, LDA CHARACTER(LEN=1) :: TRANSR, UPLO, TRANS COMPLEX(8), DIMENSION(:,:) :: A COMPLEX(8), DIMENSION(:) :: C REAL(8) :: ALPHA, BETA SUBROUTINE HFRK_64( TRANSR, UPLO, TRANS, N, K, ALPHA, A, LDA, BETA, C ) INTEGER(8) :: N, K, LDA CHARACTER(LEN=1) :: TRANSR, UPLO, TRANS COMPLEX(8), DIMENSION(:,:) :: A COMPLEX(8), DIMENSION(:) :: C REAL(8) :: ALPHA, BETA C INTERFACE #include <sunperf.h> void zhfrk (char transr, char uplo, char trans, int n, int k, double alpha, doublecomplex *a, int lda, double beta, doublecomplex *c); void zhfrk_64 (char transr, char uplo, char trans, long n, long k, dou- ble alpha, doublecomplex *a, long lda, double beta, double- complex *c);
Oracle Solaris Studio Performance Library zhfrk(3P)
NAME
zhfrk - perform a Hermitian rank-k operation for matrix in RFP format
SYNOPSIS
SUBROUTINE ZHFRK(TRANSR, UPLO, TRANS, N, K, ALPHA, A, LDA, BETA, C)
DOUBLE PRECISION ALPHA, BETA
INTEGER K, LDA, N
CHARACTER*1 TRANS, TRANSR, UPLO
DOUBLE COMPLEX A(LDA,*), C(*)
SUBROUTINE ZHFRK_64(TRANSR, UPLO, TRANS, N, K, ALPHA, A, LDA, BETA, C)
DOUBLE PRECISION ALPHA, BETA
INTEGER*8 K, LDA, N
CHARACTER*1 TRANS, TRANSR, UPLO
DOUBLE COMPLEX A(LDA,*), C(*)
F95 INTERFACE
SUBROUTINE HFRK(TRANSR, UPLO, TRANS, N, K, ALPHA, A, LDA, BETA, C)
INTEGER :: N, K, LDA
CHARACTER(LEN=1) :: TRANSR, UPLO, TRANS
COMPLEX(8), DIMENSION(:,:) :: A
COMPLEX(8), DIMENSION(:) :: C
REAL(8) :: ALPHA, BETA
SUBROUTINE HFRK_64( TRANSR, UPLO, TRANS, N, K, ALPHA, A, LDA, BETA, C )
INTEGER(8) :: N, K, LDA
CHARACTER(LEN=1) :: TRANSR, UPLO, TRANS
COMPLEX(8), DIMENSION(:,:) :: A
COMPLEX(8), DIMENSION(:) :: C
REAL(8) :: ALPHA, BETA
C INTERFACE
#include <sunperf.h>
void zhfrk (char transr, char uplo, char trans, int n, int k, double
alpha, doublecomplex *a, int lda, double beta, doublecomplex
*c);
void zhfrk_64 (char transr, char uplo, char trans, long n, long k, dou-
ble alpha, doublecomplex *a, long lda, double beta, double-
complex *c);
PURPOSE
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.
ARGUMENTS
TRANSR (input)
TRANSR is CHARACTER*1
= 'N': The Normal Form of RFP A is stored;
= 'C': The Conjugate-transpose Form of RFP A is stored.
UPLO (input)
UPLO is CHARACTER*1
On entry, UPLO specifies whether the upper or lower
triangular part of the array C is to be referenced as fol-
lows:
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 (input)
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.
N (input)
N is INTEGER
On entry, N specifies the order of the matrix C. N must be at
least zero.
Unchanged on exit.
K (input)
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.
ALPHA (input)
ALPHA is DOUBLE PRECISION
On entry, ALPHA specifies the scalar alpha.
Unchanged on exit.
A (input)
A is 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 lead-
ing K-by-N part of the array A must contain the matrix A.
Unchanged on exit.
LDA (input)
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.
BETA (input)
BETA is DOUBLE PRECISION
On entry, BETA specifies the scalar beta.
Unchanged on exit.
C (input/output)
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.
7 Nov 2015 zhfrk(3P)