Quicksort is an efficient, general-purpose sorting algorithm. Quicksort was developed by British computer scientist Tony Hoare in 1959 and published in...

David Powers described a parallelized quicksort (and a related radix sort) that can operate in O(log n) time on a CRCW parallel random-access machine (PRAM)...

Press, 1988. H. Casanova et al, Parallel Algorithms. Chapman & Hall, 2008. David M. W. Powers, Parallelized Quicksort and Radixsort with Optimal Speedup...

include bubble sort and quicksort. Selection sorts include cycle sort and heapsort. Whether the algorithm is serial or parallel. The remainder of this...

well-implemented quicksort, it has the advantages of very simple implementation and a more favorable worst-case O(n log n) runtime. Most real-world quicksort variants...

is better suited for parallelization. The basic idea behind Filter-Kruskal is to partition the edges in a similar way to quicksort and filter out edges...

(2002). Instead of using a parallel quicksort, as van Oostrum and Veltkamp did, they use boxsort, a variant of quicksort developed by Reischuk (1985)...

used primarily as an educational tool. More efficient algorithms such as quicksort, timsort, or merge sort are used by the sorting libraries built into popular...

floating-point arithmetic are implemented in single and double precision. Parallel quicksort algorithm Example of singular value decomposition (SVD): DenseDoubleAlgebra...

idea behind Filter-Kruskal is to partition the edges in a similar way to quicksort and filter out edges that connect vertices that belong to the same tree...

basis of efficient algorithms for many problems, such as sorting (e.g., quicksort, merge sort), multiplying large numbers (e.g., the Karatsuba algorithm)...

a prune and search algorithm, a variant of quicksort, with the same pivoting strategy, but where quicksort makes two recursive calls to sort the two subcollections...

Smalls, Rest) ). quicksort([]) --> []. quicksort([X|Xs]) --> { partition(Xs, X, Smaller, Bigger) }, quicksort(Smaller), [X], quicksort(Bigger). A design...

the expected running time is finite (Las Vegas algorithms, for example Quicksort), and algorithms which have a chance of producing an incorrect result...

samplesort just once and used quicksort in all following iterations. The complexity, given in Big O notation, for a parallelized implementation with p {\displaystyle...

speed of 10 million of comparisons per second. On the other hand, the quicksort and merge sort require only n log 2 ⁡ n {\displaystyle n\log _{2}n} comparisons...

cmp) o split) xs Quicksort can be expressed as follows. fun part is a closure that consumes an order operator op <<. infix << fun quicksort (op <<) = let...

addition depend heavily on the sorting algorithm used. For instance suppose quicksort is used as sorting algorithm, with a fixed element selected as first pivot...

generally fall into two types, distribution sorting, which resembles quicksort, and external merge sort, which resembles merge sort. External merge sort...

faster than heapsort for all n and faster than quicksort for n > 80. It becomes about twice as fast as quicksort at n = 10000. Note that these measurements...

efficient parallel scan algorithms are possible and have been implemented on graphics processing units. The scan operation has uses in e.g., quicksort and sparse...

balanced merge sort balanced multiway merge balanced multiway tree balanced quicksort balanced tree balanced two-way merge sort BANG file Batcher sort Baum...

as quicksort and mergesort. In experimental results it was shown to be highly efficient, often outperforming traditional algorithms such as quicksort, particularly...

The objective is to implement an Algorithmic Skeleton-based parallel version of the QuickSort algorithm using the Divide and Conquer pattern. Notice that...

is true for treaps. This mirrors the binary search tree argument that quicksort runs in expected O ( n log ⁡ n ) {\displaystyle O(n\log n)} time. If binary...

External sorting can be done via distribution sort, which is similar to quicksort, or via a M B {\displaystyle {\tfrac {M}{B}}} -way merge sort. Both variants...

In-place merge sort, O ( n log 2 ⁡ n ) {\displaystyle O(n\log ^{2}n)} Quicksort, O ( n log ⁡ n ) {\displaystyle O(n\log n)} , in its randomized version...

to express the average-case — for example, the worst-case scenario for quicksort is O(n2), but the average-case run-time is O(n log n). Assuming the run-time...

simple selection sort with a call to the more complicated algorithm for a quicksort. Modern software systems, e.g., Big data systems, comprises several frameworks...

was only required to take O(n log n) on average, allowing the use of quicksort, which is fast in practice but has poor worst-case performance, but introsort...