@misc{15091, author = {James Trotter and Johannes Langguth and Xing Cai}, title = {Quantifying data traffic of sparse matrix-vector multiplication in a multi-level memory hierarchy}, abstract = {Sparse matrix-vector multiplication (SpMV) is the central operation in an iterative linear solver. On a computer with a multi-level memory hierarchy, SpMV performance is limited by memory or cache bandwidth. Furthermore, for a given sparse matrix, the volume of data traffic depends on the location of the matrix non-zeros. By estimating the volume of data traffic with Aho, Denning and Ullman{\textquoteright}s page replacement model [1], we can locate bottlenecks in the memory hierarchy and evaluate optimizations such as matrix reordering. The model is evaluated by comparing with measurements from hardware performance counters on Intel Sandy Bridge.[1]: Alfred V. Aho, Peter J. Denning, and Jeffrey D. Ullman. 1971. Principles of Optimal Page Replacement. J. ACM 18, 1 (January 1971), pp. 80-93.}, year = {2018}, month = {06/2018}, address = {London, UK}, }