Karatsuban
Karatsuba is a fast multiplication algorithm for large integers, developed by Anatolii Alexeevich Karatsuba in 1960. It was one of the first efficient multiplication algorithms for large integers, with a time complexity of O(n^1.585) compared to the standard multiplication method's O(n^2) complexity.
The Karatsuba algorithm divides a large multiplication into smaller sub-calculations. Two or more partial products are
The algorithm makes use of the divide-and-conquer approach, which is a common strategy for solving complex problems
The algorithm's time complexity is primarily due to the recursive nature of the approach, with the number
The Karatsuba algorithm is also used as a building block in more complex algorithms, such as the