Diving into the world of linear algebra often leads to encountering linear systems, a collection of linear equations involving the same set of variables. Finding the set of solutions for these systems ...

The program runs each method 100 times to measure average execution time and compares the performance against expected computational complexity. Cramer's Rule computes each variable xᵢ as the ratio ...

Abstract: Recently, analog matrix inversion circuits (INV) have demonstrated significant advantages in solving matrix equations. However, solving large-scale sparse tridiagonal linear systems (TLS) ...

In 2024, almost 70% of all U.S. hospitals were using predictive artificial intelligence, the Assistant Secretary for Technology Policy/Office of the National Coordinator for Health IT revealed in its ...

Abstract: Inhomogeneous linear ordinary differential equations (ODEs) and systems of ODEs can be solved in a variety of ways. However, hardware circuits that can perform the efficient analog ...

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, ...