This repository contains Python scripts to solve a system of linear equations AX = b using different methods, including the naive approach, NumPy, and SciPy. The goal is to compare the execution times ...
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 ...
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, ...
Introduces linear algebra and matrices, with an emphasis on applications, including methods to solve systems of linear algebraic and linear ordinary differential equations. Discusses computational ...
Differential equations are fundamental tools in physics: they are used to describe phenomena ranging from fluid dynamics to general relativity. But when these equations become stiff (i.e. they involve ...
A. Varga, Robust pole assignment via Sylvester equation based state feedback parametrization, Proceedings of the 2000 IEEE International Symposium on Computer-Aided Control System Design, Alsaka, USA, ...