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@inproceedings{Williams2007MatrixvectorMI, title={Matrix-vector multiplication in sub-quadratic time: (some preprocessing required)}, author={Ryan Williams}, booktitle={SODA}, year={2007} }

- Published 2007 in SODA

We show that any <i>n</i> x <i>n</i> matrix <i>A</i> over any finite semiring can be preprocessed in <i>O</i>(<i>n</i><sup>2</sup>+ε) time, such that all subsequent vector multiplications with <i>A</i> can be performed in <i>O</i>(<i>n</i><sup>2</sup>/(εlog<i>n</i>)<sup>2</sup>) time, for all ε > 0. The approach is combinatorial and can be implemented on a pointer machine or a (log<i>n</i>)-word RAM. Some applications are described.

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