chfrk - k operation for matrix in RFP format
SUBROUTINE CHFRK(TRANSR, UPLO, TRANS, N, K, ALPHA, A, LDA, BETA, C) REAL ALPHA, BETA INTEGER K, LDA, N CHARACTER*1 TRANS, TRANSR, UPLO COMPLEX A(LDA,*), C(*) SUBROUTINE CHFRK_64(TRANSR, UPLO, TRANS, N, K, ALPHA, A, LDA, BETA, C) REAL ALPHA, BETA INTEGER*8 K, LDA, N CHARACTER*1 TRANS, TRANSR, UPLO 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, DIMENSION(:,:) :: A COMPLEX, DIMENSION(:) :: C REAL :: 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, DIMENSION(:,:) :: A COMPLEX, DIMENSION(:) :: C REAL :: ALPHA, BETA C INTERFACE #include <sunperf.h> void chfrk (char transr, char uplo, char trans, int n, int k, float alpha, floatcomplex *a, int lda, float beta, floatcomplex *c); void chfrk_64 (char transr, char uplo, char trans, long n, long k, float alpha, floatcomplex *a, long lda, float beta, floatcom- plex *c);
Oracle Solaris Studio Performance Library chfrk(3P)
NAME
chfrk - perform a Hermitian rank-k operation for matrix in RFP format
SYNOPSIS
SUBROUTINE CHFRK(TRANSR, UPLO, TRANS, N, K, ALPHA, A, LDA, BETA, C)
REAL ALPHA, BETA
INTEGER K, LDA, N
CHARACTER*1 TRANS, TRANSR, UPLO
COMPLEX A(LDA,*), C(*)
SUBROUTINE CHFRK_64(TRANSR, UPLO, TRANS, N, K, ALPHA, A, LDA, BETA, C)
REAL ALPHA, BETA
INTEGER*8 K, LDA, N
CHARACTER*1 TRANS, TRANSR, UPLO
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, DIMENSION(:,:) :: A
COMPLEX, DIMENSION(:) :: C
REAL :: 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, DIMENSION(:,:) :: A
COMPLEX, DIMENSION(:) :: C
REAL :: ALPHA, BETA
C INTERFACE
#include <sunperf.h>
void chfrk (char transr, char uplo, char trans, int n, int k, float
alpha, floatcomplex *a, int lda, float beta, floatcomplex
*c);
void chfrk_64 (char transr, char uplo, char trans, long n, long k,
float alpha, floatcomplex *a, long lda, float beta, floatcom-
plex *c);
PURPOSE
chfrk 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 triangu-
lar 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 (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 REAL
On entry, ALPHA specifies the scalar alpha.
Unchanged on exit.
A (input)
A is COMPLEX 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.
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 REAL
On entry, BETA specifies the scalar beta.
Unchanged on exit.
C (input/output)
C is COMPLEX 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 chfrk(3P)