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The Jacobi method is based on solving for every variable locally with respect to theother variables; one iteration corresponds to solving for every variable once. It is easy tounderstand and implement, but convergence is slow.

Jacobi Method.

The Jacobi method is a method of solving a matrix equation on amatrix that has no zeros along its main diagonal. Each diagonal element is solved for,and an approximate value plugged in. The process is then iterated until it converges.The Jacobi method is easily derived by examining each of the n equations in the linearsystem of equations Ax = b in isolation

The Gauss-Seidel