2 votes

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