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Analysis of a shellsort algorithm

Published: 01 December 1973 Publication History

Abstract

D. L. Shell published in 1959, [4], a fast algorithm for internal sorting. R. M. Frank and R. B. Lazarus pointed out in 1960, [3], a disadvantage in the original design of the algorithm and changes were proposed based on heuristic arguments. J. Boothroyd took care of Frank and Lazarus objections in an elegant algorithm published 1963, [1]. If we change Boothroyds algorithm slightly we get an algorithm which, in the general case with the arguments of Frank and Lazarus, is even worse than the original one. On the other hand this algorithm has the advantage that it is easy to analyse theoretically. To the author's knowledge such an analysis has not yet been given for any of the other Shellsort algorithms.

References

[1]
J. Boothroyd,ALGORITHM 201, Shellsort, Communications of the ACM 6 (1963), 445.
[2]
Datamatik III. Bearbeiding av middelstore datamengder, Hefte 8, intern sortering, Regnecentralen København (1969) Studentlitteratur Lund.
[3]
R. M. Frank and R. B. Lazarus,A High-speed Sorting Procedure, Communications of the ACM 3 (1960), 20.
[4]
D. L. Shell,A High-speed Sorting Procedure, Communications of the ACM 2 (1959), 30.

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      Published In

      cover image BIT
      BIT  Volume 13, Issue 4
      Dec 1973
      118 pages

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      BIT Computer Science and Numerical Mathematics

      United States

      Publication History

      Published: 01 December 1973

      Author Tags

      1. Sorting
      2. Computational Mathematic
      3. Fast Algorithm
      4. Original Design
      5. Heuristic Argument

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