cher2k - perform one of the Hermitian rank 2k operations C := alpha*A*conjg( B' ) + conjg( alpha )*B*conjg( A' ) + beta*C or C := alpha*conjg( A' )*B + conjg( alpha )*conjg( B' )*A + beta*C
SUBROUTINE CHER2K(UPLO, TRANSA, N, K, ALPHA, A, LDA, B, LDB, BETA, C, LDC) CHARACTER*1 UPLO, TRANSA COMPLEX ALPHA COMPLEX A(LDA,*), B(LDB,*), C(LDC,*) INTEGER N, K, LDA, LDB, LDC REAL BETA SUBROUTINE CHER2K_64(UPLO, TRANSA, N, K, ALPHA, A, LDA, B, LDB, BETA, C, LDC) CHARACTER*1 UPLO, TRANSA COMPLEX ALPHA COMPLEX A(LDA,*), B(LDB,*), C(LDC,*) INTEGER*8 N, K, LDA, LDB, LDC REAL BETA F95 INTERFACE SUBROUTINE HER2K(UPLO, TRANSA, N, K, ALPHA, A, LDA, B, LDB, BETA, C, LDC) CHARACTER(LEN=1) :: UPLO, TRANSA COMPLEX :: ALPHA COMPLEX, DIMENSION(:,:) :: A, B, C INTEGER :: N, K, LDA, LDB, LDC REAL :: BETA SUBROUTINE HER2K_64(UPLO, TRANSA, N, K, ALPHA, A, LDA, B, LDB, BETA, C, LDC) CHARACTER(LEN=1) :: UPLO, TRANSA COMPLEX :: ALPHA COMPLEX, DIMENSION(:,:) :: A, B, C INTEGER(8) :: N, K, LDA, LDB, LDC REAL :: BETA C INTERFACE #include <sunperf.h> void cher2k(char uplo, char transa, int n, int k, complex* alpha, com- plex *a, int lda, complex *b, int ldb, float beta, complex *c, int ldc); void cher2k_64(char uplo, char transa, long n, long k, complex *alpha, complex *a, long lda, complex *b, long ldb, float beta, com- plex *c, long ldc);
Oracle Solaris Studio Performance Library cher2k(3P) NAME cher2k - perform one of the Hermitian rank 2k operations C := alpha*A*conjg( B' ) + conjg( alpha )*B*conjg( A' ) + beta*C or C := alpha*conjg( A' )*B + conjg( alpha )*conjg( B' )*A + beta*C SYNOPSIS SUBROUTINE CHER2K(UPLO, TRANSA, N, K, ALPHA, A, LDA, B, LDB, BETA, C, LDC) CHARACTER*1 UPLO, TRANSA COMPLEX ALPHA COMPLEX A(LDA,*), B(LDB,*), C(LDC,*) INTEGER N, K, LDA, LDB, LDC REAL BETA SUBROUTINE CHER2K_64(UPLO, TRANSA, N, K, ALPHA, A, LDA, B, LDB, BETA, C, LDC) CHARACTER*1 UPLO, TRANSA COMPLEX ALPHA COMPLEX A(LDA,*), B(LDB,*), C(LDC,*) INTEGER*8 N, K, LDA, LDB, LDC REAL BETA F95 INTERFACE SUBROUTINE HER2K(UPLO, TRANSA, N, K, ALPHA, A, LDA, B, LDB, BETA, C, LDC) CHARACTER(LEN=1) :: UPLO, TRANSA COMPLEX :: ALPHA COMPLEX, DIMENSION(:,:) :: A, B, C INTEGER :: N, K, LDA, LDB, LDC REAL :: BETA SUBROUTINE HER2K_64(UPLO, TRANSA, N, K, ALPHA, A, LDA, B, LDB, BETA, C, LDC) CHARACTER(LEN=1) :: UPLO, TRANSA COMPLEX :: ALPHA COMPLEX, DIMENSION(:,:) :: A, B, C INTEGER(8) :: N, K, LDA, LDB, LDC REAL :: BETA C INTERFACE #include <sunperf.h> void cher2k(char uplo, char transa, int n, int k, complex* alpha, com- plex *a, int lda, complex *b, int ldb, float beta, complex *c, int ldc); void cher2k_64(char uplo, char transa, long n, long k, complex *alpha, complex *a, long lda, complex *b, long ldb, float beta, com- plex *c, long ldc); PURPOSE cher2k performs one of the Hermitian rank 2k operations C := alpha*A*conjg( B' ) + conjg( alpha )*B*conjg( A' ) + beta*C 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 Hermi- tian matrix and A and B are n by k matrices in the first case and k by n matrices in the second case. ARGUMENTS UPLO (input) 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. TRANSA (input) On entry, TRANSA specifies the operation to be performed as follows: TRANSA = 'N' or 'n' C := alpha*A*conjg( B' ) + conjg( alpha )*B*conjg( A' ) + beta*C. TRANSA = 'C' or 'c' C := alpha*conjg( A' )*B + conjg( alpha )*conjg( B' )*A + beta*C. Unchanged on exit. N (input) On entry, N specifies the order of the matrix C. N must be at least zero. Unchanged on exit. K (input) On entry with TRANSA = 'N' or 'n', K specifies the number of columns of the matrices A and B, and on entry with TRANSA = 'C' or 'c', K specifies the number of rows of the matrices A and B. K must be at least zero. Unchanged on exit. ALPHA (input) On entry, ALPHA specifies the scalar alpha. Unchanged on exit. A (input) COMPLEX array of DIMENSION ( LDA, ka ), where ka is k when TRANSA = 'N' or 'n', and is n otherwise. Before entry with TRANSA = '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) On entry, LDA specifies the first dimension of A as declared in the calling (sub) program. When TRANSA = '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 (input) COMPLEX array of DIMENSION ( LDB, kb ), where kb is k when TRANSA = 'N' or 'n', and is n otherwise. Before entry with TRANSA = '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 (input) On entry, LDB specifies the first dimension of B as declared in the calling (sub) program. When TRANSA = '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 (input) On entry, BETA specifies the scalar beta. Unchanged on exit. C (input/output) 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 Hermitian 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 triangular 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 (input) 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. 7 Nov 2015 cher2k(3P)