rocblaszgemm

rocblas_zgemm is a function in the ROCm library rocBLAS that implements the general matrix-matrix multiply for double-precision complex matrices on AMD GPUs. It is used to perform high-performance linear algebra operations essential in scientific computing, graphics, and machine learning workloads running on ROCm-enabled hardware.

The operation computes C = alpha * op(A) * op(B) + beta * C, where A, B, and C are complex matrices and op(X) denotes no transpose, transpose, or conjugate-transpose, as specified by the operation parameters. The dimensions m, n, and k define the sizes of the operands according to the chosen op for A and B, resulting in an m-by-n matrix C. The scalars alpha and beta are complex constants that scale the products and the existing C, respectively.

Key parameters include a rocBLAS handle that represents the library context, enums or indicators for the desired transposition or conjugation of A and B, the matrix dimensions m, n, k, pointers to alpha and beta, pointers to A, B, and C along with their leading dimensions lda, ldb, and ldc. The matrices A, B, and C are expected to be stored in device memory in column-major order, consistent with BLAS conventions, though rocBLAS provides flexibility through its API to accommodate different layouts in practice.

rocblas_zgemm is one of several complex GEMM routines in ROCm, with related variants for single precision or mixed types, including batched and strided variants to handle multiple matrices efficiently. The function returns a status value indicating success or an error condition, enabling robust integration into larger GPU-accelerated workflows.