Abstract: Montgomery's trick is a well known technique for performing simultaneous inversions of several field elements. However, this technique is a strictly sequential algorithm. Here the authors ...

Abstract: Cache oblivious algorithms are designed to get the good benefit from any of the underlying hierarchy of caches without the need to know about the exact structure of the cache. These ...

In this team of the Networks and Optimization group, led by Solon Pissis, we are working on algorithms and data structures for sequence analysis. In sequence comparison, we are given two (or more) ...

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 ...

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 ...

.Supports signed integers using 2’s complement. .Shows step-by-step shift and add logic. 2)Restoring Division Algorithm .Works with positive integers. 3)Non-Restoring Division Algorithm. .Similar to ...

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 ...