You wouldn’t use this algorithm when calculating a tip, but when it comes to multiplying large numbers, Karatsuba’s method was a big advance. And once Karatsuba opened the door to faster ...

In this video, we delve into the fascinating world of big number multiplication and explore how computers perform this task efficiently. Traditional multiplication has a time complexity of O(n^2), but ...

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 ...

People tend to obsess over making computer software faster. You can, of course, just crank up the clock speed and add more processors, but often the most powerful way to make something faster is to ...

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

Those algorithms run up to 20% faster than existing matrix multiplication methods, according to the Alphabet unit.

Methods similar to this go back thousands of years, at least to the ancient Sumerians and Egyptians. But is this really the best way to multiply two big numbers together? Around 1956, the famous ...

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.

When I was 9, my family got a new computer. It was better than our old computer in every way save one: It couldn’t run my favorite racing game. What’s the point of a fancy new computer, I remember ...

AlphaTensor, builds upon AlphaZero, an agent that has shown superhuman performance on board games, like chess, Go and shogi, and this work shows the journey of AlphaZero from playing games to tackling ...