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We identify the challenges that are special to parallel sparse matrix-matrix multiplication (PSpGEMM). We show that sparse algorithms are not as scalable as their dense counterparts, because in general, there are not enough non-trivial arithmetic operations to hide the communication costs as well as the sparsity overheads. We analyze the scalability of 1D and 2D algorithms for PSpGEMM. While the 1D...
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