For numbers with a thousand digits, Karatsuba's method needs about 17 times fewer multiplications than long multiplication. But why on earth would anyone want to multiply such big numbers together?

Mathematicians discover new way of multiplying large numbers The findings may represent the 'fastest multiplication algorithm mathematically possible' Chelsea Ritschel Wednesday 17 April 2019 20: ...

Karatsuba’s divide-and-conquer multiplication algorithm takes advantage of this saving. Consider a multiplication algorithm that parallels the way multiplication of complex numbers works.

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 ...

Four thousand years ago, the Babylonians invented multiplication. Last month, mathematicians perfected it. On March 18, two researchers described the fastest method ever discovered for multiplying two ...

DeepMind’s paper also pointed out that AlphaTensor discovers a richer space of matrix multiplication algorithms than previously thought — up to thousands for each size.

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 ...