For example, AlphaTensor discovered an algorithm for multiplying four-by-four matrices in 47 steps, down from the 49 steps that are used in the standard Strassen algorithm. DeepMind also found it ...

To multiply two numbers by hand takes a few steps but it's something we're taught in school. When dealing with big numbers, really big numbers, we need to a quicker way to do things.

Montgomery algorithms represent a transformative advancement in the computation of modular arithmetic, specifically designed to bypass the costly division steps inherent in traditional methods. By ...

Well the naive multiplication algorithms that we study in school for multiplying numbers is slow. Given two numbers of digit count n the trivial multiplication algorithm takes roughly n^2 steps.

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.

To multiply two numbers by hand take a few steps but it’s something we’re taught in school. When dealing with big numbers, really big numbers, we need to a quicker way to do things.

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 ...