PyLops is an open-source Python library focused on providing a backend-agnostic, idiomatic, matrix-free library of linear operators and related computations. It is inspired by the iconic MATLAB ...

Apple Inc. is teaming up with startup Anthropic PBC on a new “vibe-coding” software platform that will use artificial intelligence to write, edit and test code on behalf of programmers.

Google DeepMind's AlphaEvolve AI system breaks a 56-year-old mathematical record by discovering a more efficient matrix ...

Startup Success Stories Discover unconventional problem-solving methods that have propelled startups to success. This article ...

AI is supercharging every stage of the software development process — writing, reviewing, testing, debugging, and designing code, he said. "AI is going to be adding 10 times the amount of ...

This goal has been fully achieved for Lyapunov and Sylvester equation solvers, for which the codes for both real and complex data perform at practically same performance level as similar functions ...

Abstract: This article, for the first time, extends the zeroing neural network (ZNN) method to address the problem of dynamic quaternion-valued matrix inversion. Due to the noncommutative property of ...

It demonstrates the rapidly increasing sophistication of AI in problem-solving. Balog recounts a specific instance: “One particular example I can talk about is we applied AlphaEvolve to discovering ...

For both clutter models, the new algorithm performed significantly better (i.e., converged faster) than the sample matrix inversion (SMI) and fast maximum likelihood (FML) STAP algorithms, the latter ...

In this paper, the generalized anti-reflexive solution for matrix equations (BX = C, XD = E), which arise in left and right inverse eigenpairs problem, is considered. With the special properties of ...