Convergence of the Jacobi Method

Raquel Acco

This project will provide a sufficient condition for convergence of the Jacobi method, which is an iterative technique for approximating a solution of a system of equations. I will talk about matrix norms and what it means to be strictly diagonally dominant. A big component to this project is the spectral radius, which is the max absolute eigenvalue of a matrix. I will also go through some examples to illustrate the concepts in the presentation.

Raquel Acco is a junior in the mathematics dual engineer program. She graduated from A. C. Flora high school in 2019 and is also a part of the Lander Women’s Tennis team. In the fall of 2022, she plans to attend Clemson University to pursue her civil engineering degree.