Understanding the Performance of Sparse Matrix-Vector Multiplication

In this paper we revisit the performance issues of the widely used sparse matrix-vector multiplication (SpMxV) kernel on modern microarchitectures. Previous scientific work reports a number of different factors that may significantly reduce performance. However, the interaction of these factors with the underlying architectural characteristics is not clearly understood, a fact that may lead to misguided and thus unsuccessful attempts for optimization. In order to gain an insight on the details of SpMxV performance, we conduct a suite of experiments on a rich set of matrices for three different commodity hardware platforms. Based on our experiments we extract useful conclusions that can serve as guidelines for the subsequent optimization process of the kernel.