In long multiplication, we have to multiply every digit of the first number by every digit of the second number. If the two numbers each have N digits, that's N2 (or N x N) multiplications altogether.

Of course, these days your multiplication probably occurs in hardware but it still may not be as fast as addition and subtraction.

Even for computers, the long multiplication algorithm, defined as n to the power of, could reportedly take months if each number had a billion digits.

Through learning, AlphaTensor gradually improves over time, re-discovering historical fast matrix multiplication algorithms such as Strassen’s, eventually surpassing the realm of human intuition and ...

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 ...