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 ...
The Russian multiplication strategy employs a systematic doubling and halving approach to efficiently multiply numbers by adding corresponding values while one number is halved and the other is ...
The Matrix-Matrix of Cannon In order to swiftly multiply two huge matrices, multiplication is a parallel approach that distributes the work over a number of processors or cores. In particular, ...
With AlphaTensor, DeepMind Technologies has presented an AI system that is supposed to independently find novel, efficient and provably correct algorithms for complex mathematical tasks. AlphaTensor ...
Mathematicians love a good puzzle. Even something as abstract as multiplying matrices (two-dimensional tables of numbers) can feel like a game when you try to find the most efficient way to do it.
Abstract: Summary form only given. We describe a novel parallel algorithm that implements a dense matrix multiplication operation with algorithmic efficiency equivalent to that of Cannon's algorithm.
This summer, battle lines were drawn over a simple math problem: 8 ÷ 2(2 + 2) = ? If you divide 8 by 2 first, you get 16, but if you multiply 2 by (2 + 2) first, you get 1. So, which answer is right?