This Mathematica script offers tools for solving linear systems and analyzing matrix properties. It includes various solving methods, matrix operations, and visualizations. Solvers: Inverse, LU, QR, ...

"All the methods are implemented from scratch without using any linear algebra package. First, let's import relevant libraries." "Then we create the matrix $A$ and ...

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, ...

Abstract: This book contains a detailed discussion of the matrix operation, its properties, and its applications in finding the solution of linear equations and determinants. Linear algebra is a ...

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 ...

Abstract: This article proposes three distributed algorithms for solving linear algebraic equations to seek a least-squares (LS) solution via multiagent networks. We consider that each agent has only ...