◆ zgemm()

C <- αOp(A)Op(B) + βC (op(X) = X, X^T or X^H) (complex matrices) (BLAS 3)

Purpose: This routine performs one of the matrix-matrix operations
C <- alpha*op(A)*op(B) + beta*C

beta
double beta(double a, double b)
Beta function B(a, b)
Definition beta.cpp:79

where op(X) is one of
op(X) = X, op(X) = X^T or op(X) = X^H

where alpha and beta are scalars and A, B and C are matrices, with op(A) an m x k matrix, op(B) a k x n matrix and C an m x n matrix.

Parameters

[in]	transa	Specifies the form of op(A) to be used in the matrix multiplication as follows: = 'N': op(A) = A. = 'T': op(A) = A^T. = 'C': op(A) = A^H.
[in]	transb	Specifies the form of op(B) to be used in the matrix multiplication as follows: = 'N': op(B) = B. = 'T': op(B) = B^T. = 'C': op(B) = B^H.
[in]	m	Number of rows of the matrix op(A) and of the matrix C. (m >= 0) (If m = 0, returns without computation)
[in]	n	Number of columns of the matrix op(B) and of the matrix C. (n >= 0) (If n = 0, returns without computation)
[in]	k	Number of columns of the matrix op(A) and of rows of the matrix op(B). (k >= 0)
[in]	alpha	Scalar alpha.
[in]	lda	Leading dimension of the two dimensional array a[][]. (lda >= max(1, m) when transa = 'N', lda >= max(1, k) otherwise)
[in]	a[][]	Array a[la][lda] (la >= k when transa = 'N', la >= m otherwise) m x k matrix A when transa = 'N', or k x m matrix A otherwise.
[in]	ldb	Leading dimension of two dimensional array b[][]. (ldb >= max(1, k) when transb = 'N', ldb >= max(1, n) otherwise)
[in]	b[][]	Array b[lb][ldb] (lb >= n when transb = 'N', lb >= k otherwise) k x n matrix B when transb = 'N', or n x k matrix B otherwise.
[in]	beta	Scalar beta. When beta is supplied as zero then C need not be set on input.
[in]	ldc	Leading dimension of the two dimensional array c[][]. (ldc >= max(1, m))
[in,out]	c[][]	Array c[lc][ldc] (lc>= n) [in] m x n matrix C. [out] m x n output matrix. (= alphaop(A)op(B) + beta*C)