As the notation suggests, we can turn a system of linear equations into a matrix equation and study it using matrix methods.

Because we want to use matrix methods, let’s solve an example system and keep track of what our equation manipulation does to the corresponding augmented matrix.

Main.java - Handles user input, reads the matrix from a file or manual input, and applies the chosen numerical method. Iteration 1: [2.0000 3.0000 4.0000]T Iteration ...

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 ...

Abstract: Discrete coupled Riccati matrix equations, which play an important role in the analysis and design of discrete-time Markov jump systems of control theory, have been studied extensively. In ...

Random matrix theory (RMT) has emerged as a powerful framework for analysing complex systems across physics, statistics and beyond, by examining the statistical properties of matrices with random ...

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