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 ...

We’re just a few years into the AI revolution, but AI systems are already improving decades-old computer science algorithms. Google’s AlphaEvolve AI, its latest coding agent for algorithm discovery, ...

Analyze the runtime data of various matrix multiplication algorithms in order to evaluate the theoretical versus empirical time complexity. Analyze the theoretical versus empirical time complexity of ...

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Sequential matrix multiplication implementation Parallel matrix multiplication using worker pools Configurable number of Workers Performance comparison between sequential and parallel approaches Built ...

This is a preview. Log in through your library . Abstract A sequential algorithm for solving a system of nonlinear equations based on the number-theoretic method is proposed. In order to illustrate ...

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 ...

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 ...

This is a preview. Log in through your library . Abstract We propose a linear-time, single-pass, top-down algorithm for multiple testing on directed acyclic graphs, where nodes represent hypotheses ...