Abstract: Riccati matrix equation (RME), a critical nonlinear matrix equation in autonomous driving and deep learning. However, memory-compute separation in traditional solving systems leads to ...

Analog computers are systems that perform computations by manipulating physical quantities such as electrical current, that map math variables, instead of representing information using abstraction ...

Analogue computers that rapidly solve a key type of equation used in training artificial intelligence models could offer a potential solution to the growing energy consumption in data centres caused ...

I Department of Applied Mathematics, Faculty of Mathematics and Computer Science, Amirkabir University of Technology, 424, Hafez Avenue, Tehran 15914, Iran. E-mails: mdehghan@aut.ac.ir / ...

In 1956, the American geologist M. King Hubbert made a startling prediction: In a matter of decades, the supply of fuel on which so much of modern society depended would dwindle. Dubbed the “peak oil” ...

First, we install the PyTorch and matplotlib libraries using pip, ensuring you have the necessary tools for building neural networks and visualizing the results in your Google Colab environment. Copy ...

Apple's release of iOS 18.1 builds on the groundbreaking features of iOS 18, offering users new capabilities and fixes. Among the best updates in iOS 18 is the enhanced Messages app, which now lets ...

Are you struggling to solve quadratic equations? Look no further than the “Almighty Formula,” a powerful mathematical tool that can crack even the toughest quadratic puzzles. In this article, you will ...

Presenting an algorithm that solves linear systems with sparse coefficient matrices asymptotically faster than matrix multiplication for any ω > 2. Our algorithm can be viewed as an efficient, ...

Finding intersections of ellipses or spheroids is a fairly complicated task which typically involves solving a quartic equation with an iterative solver. However, the story is very different if the ...