Hoare's Algorithm is a method used for sorting elements in an array. It was developed by C.A.R. Hoare in 1960 and is known for its efficiency. The algorithm works by selecting a "pivot" element and partitioning the array into two sub-arrays: one with elements less than the pivot and another with elements greater than the pivot. This process is repeated recursively on the sub-arrays until the entire array is sorted. The main advantage of Hoare's Algorithm is its average-case time complexity of O(n log n), making it faster than many other sorting algorithms. It is widely used in computer science and forms the basis for the popular Quicksort algorithm.