SquareSort: a cache-oblivious sorting algorithm

In this paper we consider sorting in the cache-oblivious model of Frigo, Leiserson, Prokop, and Ramachandran (1999). We introduce a new simple sorting algorithm in that model which has asymptotically optimal IO complexity $O(\frac{n}{B}{\log }_{M\mathrm{/}B}n)$, where $n$ is the instance size, $M$ size of the cache and $B$ size of a memory block. This is the same as the complexity of the best known cache-oblivious sorting algorithm FunnelSort.