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Cublas

The NVIDIA CUDA Basic Linear Algebra Subroutines (cuBLAS) library is a GPU-accelerated version of the complete standard BLAS library for use with CUDA capable GPUs.

Magma

MAGMA (Matrix Algebra on GPU and Multicore Architectures) is a collection of linear algebra libraries for heterogeneous processor architectures.



Others

Example

Magma routine magma_gemm has higher performance than cublas in some cases

from question  

Tips for optimizing X_transpose*X CUDA kernel

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