Consider the following iterative root finding methods and convergence properties:
|
Iterative root finding methods |
|
Convergence properties |
Q. |
False Position |
I. |
Order of convergence = 1.62 |
R. |
Newton Raphson |
II. |
Order of convergence = 2 |
S. |
Secant |
III. |
Order of convergence = 1 with guarantee of convergence |
T. |
Successive Approximation |
IV. |
Order of convergence = 1 with no guarantee of convergence |
The correct matching of the methods and properties is
- Q-II, R-IV, S-III, T-I
- Q-III, R-II, S-I, T-IV
- Q-II, R-I, S-IV, T-III
- Q-I, R-IV, S-II, T-III