Assessing the stability of linear system iterative solvers (Jacobi, Gauss-Seidel and SOR) based on spectral radius of the iterative matrices

Objective: INTRODUCTION: For a system of linear equations, the solution can be found by implementing the iterative solvers (Jacobi, Gauss-Seidel, and SOR). However, there are some factors which can render the solution unstable. One of these parameters is the spectral radius of the iteration matrix. The spectral radius of a matrix…