BlasL3HeRK

Performs a Hermitian rank-k update.

CU = alpha * A * A**H + beta*C  or

CU = alpha * A**H * A + beta*C

Method BlasL3HeRK is applied to the general matrix A. Matrix A has size n-by-k if parameter trans='N', or k-by-n otherwise.

BLAS function HERK.

Computing for type matrix<complex>

bool  matrix::BlasL3HeRK(
  ENUM_BLAS_TRANS trans,        // specifies the operation
  complex       alpha,       // scalar multiplier alpha
  complex       beta,       // scalar multiplier beta
  matrixc&     C,         // Hermitian matrix C
  matrixc&     CU         // updated matrix C
  );

Computing for type matrix<complexf>

bool  matrixf::BlasL3HeRK(
  ENUM_BLAS_TRANS trans,        // specifies the operation
  complexf     alpha,       // scalar multiplier alpha
  complexf     beta,       // scalar multiplier beta
  matrixcf&     C,         // Hermitian matrix C
  matrixcf&     CU         // updated matrix C
  );

Parameters

trans

[in]  Value from the ENUM_BLAS_TRANS enumeration, which specifies the operation:

if transa= 'N', then CU = alpha * A * A**H + beta*C;

if transa= 'T', then CU = alpha * A**H * A + beta*C;

if transa= 'C', then CU = alpha * A**H * A + beta*C.

alpha

[in]  Scalar multiplier alpha.

beta

[in]  Scalar multiplier beta.

C

[in]  Hermitian matrix C of size n-by-n. It can be upper triangular or lower triangular matrix. Triangular matrices are assumed to be Hermitian.

CU

[out]  Updated matrix C.

Return Value

Return true if successful, otherwise false in case of an error.

 

ENUM_BLAS_TRANS

An enumeration defining the operation.

ID

Description

BLASTRANS_N

'N': No transpose

BLASTRANS_T

'T': Transpose

BLASTRANS_C

'C': Conjugate transpose