Abstract: In this article, a neurodynamic approach based on event-triggered mechanism for solving Lyapunov matrix equation is established. First, employing matrix decomposition technique, the Lyapunov ...

In this paper, the matrix Riccati equation is considered. There is no general way for solving the matrix Riccati equation despite the many fields to which it applies. While scalar Riccati equation has ...

School of Mathematics and Computer Science, National University of Mongolia, Ulan-Bator, Mongolia. School of Mathematics and Computer Science, National University of Mongolia, Ulan-Bator, ...

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 ...

A Python implementation of the Matrix Numerov method, a powerful numerical technique used to solve the Schrödinger equation and plot wavefunctions in quantum mechanics. The Schrödinger equation is ...

Most linear algebra courses start by considering how to solve a system of linear equations. \[ \begin{align} a_{0,0}x_0 + a_{0,1}x_0 + \cdots a_{0,n-1}x_0 & = b_0 ...