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Karatsuba Algorithm for Fast Multiplication by Prasun Das is a document available to read on EtoBox.
What is Karatsuba Algorithm for Fast Multiplication about?
The Karatsuba algorithm is an efficient algorithm for multiplying two n-digit numbers in fewer than n^2 steps. Discovered by Anatolii Karatsuba in 1960, it uses a divide and conquer approach to perform at most 3n^log_2(3) single-digit multiplications. By recursively applying this approach, the time complexity is reduced to Θ(n^log_3(2)), making it asymptotically faster than the classical multiplication algorithm.
- Author
- Prasun Das
- Language
- EN