Journal of Applied & Computational Mathematics

A Search Algorithm

Abstract

Behera BC

This is an algorithm which has the same time complexity as that of linear search of “O (n)”. But still it is better than “linear search” in terms of execution time. Let A[ ] be the array of some size N. If the element which we want to search is at any position before “N/2” than “my-search and linear-search” both will have execution time, but the magic happens when the search element is after “N/2” position. Suppose the element want to search is at nth position, then using the linear search will find the element after nth iteration, but using “my-search” we can search the element after 1st iteration itself. Elements in (N-i)th position can be found in the (I+1)th iteration i.e. suppose size is 1000 than element in 1000th position can be found in 1st iteration, similarly 999 in 2nd iteration and process goes on like this.