(C|Z)HERK

Single complex and double complex HERK.

Description

Performs one of the following rank-k updates on the hermitian matrix C.

C = \alpha A * \herm{A} + \beta C

or

C = \alpha \herm{A} * A + \beta C

BLAS Interface

void cherk(const char *UPLO, const char *TRANS, const qml_long *N,
           const qml_long *K, const float *ALPHA,
           const qml_single_complex *A, const qml_long *LDA,
           const float *BETA, qml_single_complex *C, const qml_long *LDC);

void zherk(const char *UPLO, const char *TRANS, const qml_long *N,
           const qml_long *K, const double *ALPHA,
           const qml_double_complex *A, const qml_long *LDA,
           const double *BETA, qml_double_complex *C, const qml_long *LDC);

CBLAS Interface

void cblas_cherk(const CBLAS_ORDER ORDER, const CBLAS_UPLO UPLO,
                 const CBLAS_TRANSPOSE TRANS, const qml_long N,
                 const qml_long K, const float ALPHA,
                 const qml_single_complex *A, const qml_long LDA,
                 const float BETA, qml_single_complex *C,
                 const qml_long LDC);

void cblas_zherk(const CBLAS_ORDER ORDER, const CBLAS_UPLO UPLO,
                 const CBLAS_TRANSPOSE TRANS, const qml_long N,
                 const qml_long K, const double ALPHA,
                 const qml_double_complex *A, const qml_long LDA,
                 const double BETA, qml_double_complex *C,
                 const qml_long LDC);

Arguments

UPLO Specify whether the upper or lower triangle of matrix C will be used
TRANS Specifies which rank-k update is performed:
Non-Transpose: C = \alpha A * \herm{A} + \beta C
Complex Conjugate Transpose: C = \alpha \herm{A} * A + \beta C
N Order of matrix C
K For Non-Transpose, K is the number of columns of matrix A
For Transpose and Complex Conjugate Transpose, K is the number of rows of matrix A
ALPHA Scalar multiplied with the matrix-matrix product
A Input matrix A
LDA Leading dimension of matrix A
BETA Scalar multiplied with matrix C
C Hermitian matrix C
LDC Leading dimension of matrix C