Question

10. What is the limitation of Gauss-Seidel method?
a) It cannot be used for the matrices with non-zero diagonal elem
b) It is more complex than Jacobi's method
c) It doesn't guarantees convergence for each and every matrix
d) It is an iterative technique​

Answer 1

Answer:

c) It doesn't guarantees convergence for each and every matrix is the correct answer.

Extra Information:

The limitation that it doesn't guarantee convergence for each and every matrix because if a matrix is diagonally dominant, positive definite or symmetric then only convergence is possible.

Gauss–Seidel method =>

1. Also known as Liebmann method or the method of successive displacement.

2. This method is used to solve linear equations in an iterative method which means we make an initial guess to generate a number of imporved approximate solutions for a class of problems.

3. This method was named after Carl Friedrich Gauss and Philipp Ludwig von Seidel who were German Mathematicians.