zgemm zhemm zher2k zherk zsymm zsyr2k zsyrk ztrmm ztrsm

zherk() void zherk ( char  uplo, char  trans, int  n, int  k, double  alpha, int  lda, doublecomplex  a[], double  beta, int  ldc, doublecomplex  c[]  ) Rank k operation: C <- αAAH + βC or C <- αAHA + βC (Hermitian matrices) (BLAS 3) Purpose This routine performs one of the symmetric 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 x n Hermitian matrix and A is an n x k matrix in the first case and a k x n matrix in the second case. Parameters [in] uplo Specifies whether the upper or lower triangular part of the array c[][] is to be referenced as follows: = 'U': Only the upper triangular part of c[][] is to be referenced. = 'L': Only the lower triangular part of c[][] is to be referenced [in] trans Specifies the operation to be performed as follows: = 'N': C <- alpha*A*A^H + beta*C. = 'C': C <- alpha*A^H*A + beta*C. [in] n Order of the matrix C. (n >= 0) (If n = 0, returns without computation) [in] k Number of columns of the matrix A when trans = 'N', or number of rows of the matrix A when trans = 'C'. (k >= 0) [in] alpha Scalar alpha. [in] lda Leading dimension of the two dimensional array a[][]. (lda >= max(1, n) when trans = 'N', lda >= max(1, k) otherwise) [in] a[][] Array a[la][lda] (la >= k when trans = 'N', la >= n otherwise) n x k matrix A when trans = 'N', or k x n matrix A otherwise. [in] beta Scalar beta. [in] ldc Leading dimension of the two dimensional array c[][]. (ldc >= max(1, n)) [in,out] c[][] Array c[lc][ldc] (lc >= n) [in] n x n Hermitian matrix C. Only the upper or lower triangular part is to be referenced in accordance with uplo. The imaginary parts of the diagonal elements need not be set and are assumed to be zero. [out] n x n output Hermitian matrix (= alpha*A*A^H + beta*C or alpha*A^H*A + beta*C). Only the upper or lower triangular part is overwritten in accordance with uplo. The imaginary parts of the diagonal elements are set to zero. Reference BLAS