To help you understand the algorithm, the video shows a simple two-digit by two-digit multiplication. You can see that the first and last digits are essentially the result of one multiplication.

Karatsuba’s “divide-and-conquer” multiplication algorithm has its roots in a method that Carl Friedrich Gauss (1777-1855) introduced involving the multiplication of complex numbers.

High-performance matrix multiplication remains a cornerstone of numerical computing, underpinning a wide array of applications from scientific simulations to machine learning. Researchers ...

What do encrypted messages, recognizing speech commands and running simulations to predict the weather have in common? They all rely on matrix multiplication for accurate calculations. DeepMind, an ...

But Anatoly Karatsuba defied the odds, providing a breakthrough with what would come to be known as Karatsuba's Algorithm,a faster, more efficient way to multiply large numbers that would ...

See all Abstractions blog Even more important, the multiplication algorithm is part of a class of nearly ubiquitous algorithms in computer science. Gidney expects that his new technique will allow ...

According to the mathematicians, from Australia and France, long multiplication used to be the only way to multiply - but proved tedious and time-consuming when the numbers became too large.