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Because of unmatched improvements in CPU performance, memory transfers havebecome a bottleneck of program execution. As discovered in recent years, thisalso affects sorting in internal memory. Since partitioning around severalpivots reduces overall memory transfers, we have seen renewed interest inmultiway Quicksort. Here, we analyze in how far multiway partitioning helps inQuickselect.  We compute the expected number of comparisons and scanned elements(approximating memory transfers) for a generic class of (non-adaptive) multiwayQuickselect and show that three or more pivots are not helpful, but two pivotsare. Moreover, we consider "adaptive" variants which choose partitioning andpivot-selection methods in each recursive step from a finite set ofalternatives depending on the current (relative) sought rank. We show that"Sesquickselect", a new Quickselect variant that uses either one or two pivots,makes better use of small samples w.r.t. memory transfers than otherQuickselect variants.

Sesquickselect: One and a half pivots for cache-efficient selection