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- Median_of_medians abstract "In computer science, the median of medians algorithm is a selection algorithm based on the quickselect algorithm, and is optimal, having worst-case linear time complexity for selecting the kth largest element. The algorithm consists of an algorithm to find an approximate median in linear time – this is the key step – which is then used as a pivot in quickselect. In other words, it uses an (asymptotically) optimal approximate median-selection algorithm to build an (asymptotically) optimal general selection algorithm.The approximate median-selection algorithm can also be used as a pivot strategy in quicksort, yielding an optimal algorithm, with worst-case complexity O(n log n). Although this approach optimizes quite well, it is typically outperformed in practice by instead choosing random pivots, which has average linear time for selection and average linearithmic time for sorting, and avoids the overhead of computing the pivot. Median of medians is used in the hybrid introselect algorithm as a fallback, to ensure worst-case linear performance: introselect starts with quickselect, to obtain good average performance, and then falls back to median of medians if progress is too slow.The algorithm was published in Blum et al. (Tarjan), and thus is sometimes called BFPRT after the last names of the authors. In the original paper the algorithm was referred to as PICK, referring to quickselect as "FIND".".
- Median_of_medians wikiPageExternalLink 960130.html.
- Median_of_medians wikiPageID "40327133".
- Median_of_medians wikiPageRevisionID "603028802".
- Median_of_medians class Selection_algorithm.
- Median_of_medians data Array_data_structure.
- Median_of_medians name "Median of Medians".
- Median_of_medians optimal "Yes".
- Median_of_medians space "auxiliary".
- Median_of_medians subject Category:Selection_algorithms.
- Median_of_medians comment "In computer science, the median of medians algorithm is a selection algorithm based on the quickselect algorithm, and is optimal, having worst-case linear time complexity for selecting the kth largest element. The algorithm consists of an algorithm to find an approximate median in linear time – this is the key step – which is then used as a pivot in quickselect.".
- Median_of_medians label "BFPRT".
- Median_of_medians label "Median of medians".
- Median_of_medians label "Алгоритм выбора".
- Median_of_medians sameAs BFPRT.
- Median_of_medians sameAs m.0wxn8sx.
- Median_of_medians sameAs Q3631803.
- Median_of_medians sameAs Q3631803.
- Median_of_medians wasDerivedFrom Median_of_medians?oldid=603028802.
- Median_of_medians isPrimaryTopicOf Median_of_medians.