Abstract: Three algorithms are considered for performing n-bit multiplication of two n-bit natural binary fractions. One of the algorithms can be easily and efficiently implemented in software to ...

Abstract: In this paper, we provide new methods to generate a class of algorithms computing modular multiplication and division. All these algorithms rely on sequences derived from the Euclidean ...

Algorithms have been used throughout the world’s civilizations to perform fundamental operations for thousands of years. However, discovering algorithms is highly challenging. Matrix multiplication is ...

The Strassen’s method of matrix multiplication is a typical divide and conquer algorithm. We’ve seen so far some divide and conquer algorithms like merge sort and the Karatsuba’s fast multiplication ...

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 ...