Shell Sort A generalization of insertion sort that sorts elements at specific
intervals, gradually reducing the interval to perform a final insertion sort.
Time Complexity
Best Case: O(n log^2 n) - The best known gap sequence, derived empirically
Worst Case: O(n^2) - The worst known gap sequence, derived empirically
The time complexity of the Shell Sort algorithm is somewhat complex to
determine because it depends on the gap sequence chosen
Space Complexity: O(1) - because it sorts the array in place, using only a
constant amount of additional space.
In practice, Shell Sort tends to perform well for medium-sized arrays and is
commonly used as a sub-routine in more advanced sorting algorithms because
of its efficiency on smaller data sets or on nearly sorted arrays.
Shell Sort A generalization of insertion sort that sorts elements at specific intervals, gradually reducing the interval to perform a final insertion sort.
Time Complexity
The time complexity of the Shell Sort algorithm is somewhat complex to determine because it depends on the gap sequence chosen
Space Complexity: O(1) - because it sorts the array in place, using only a constant amount of additional space.
In practice, Shell Sort tends to perform well for medium-sized arrays and is commonly used as a sub-routine in more advanced sorting algorithms because of its efficiency on smaller data sets or on nearly sorted arrays.