Question

When compared to the Jacobi method, the Gauss-Siedel method ____________

(a) has better convergence and needs less memory

(b) has less convergence and needs more memory

(c) has less convergence and needs less memory

(d) has better convergence and needs more memory

I have been asked this question by my college professor while I was bunking the class.

This interesting question is from Numerical Methods in chapter Numerical Methods of Computational Fluid Dynamics

Answer 1

Correct choice is (a) has better convergence and needs less memory

To explain: Gauss-Seidel method uses the latest values at a particular iteration. So, it has better convergence. The same way, as there is no need for storing the values of previous iterations, they require less memory too.