For example, to multiply four-digit numbers, instead of needing 4 2 = 16 multiplications, Karatsuba's method gets away with only nine. When using his method, twice as many digits means only three ...

So when it comes to measuring the efficiency of a multiplication algorithm, it’s the small multiplications that concern us most. Let’s revisit our example, 25 × 63, with efficiency in mind. In order ...

For example, to multiply four-digit numbers, instead of needing 4 2 = 16 multiplications, ... For such enormous numbers, even Karatsuba’s algorithm is too slow.

Mathematicians have reportedly discovered a new way of multiplying two numbers together. The new technique is for really large numbers, and if it passes a peer-review, could be the fastest ...

One week after DeepMind revealed an algorithm for multiplying numbers more efficiently, researchers have an even better way to carry out the task By Matthew Sparkes 13 October 2022 ...

With Deep Reinforcement Learning, DeepMind has discovered an algorithm no human thought of. It is supposed to significantly accelerate matrix multiplication.

The algorithm is able to re-discover older matrix multiplication algorithms and improve upon its own to discover newer and faster algorithms. “AlphaTensor is the first AI system for discovering novel, ...

An artificial-intelligence approach known as AlphaTensor found exact matrix-multiplication algorithms that are more efficient than those previously known for many matrix sizes.