GATE | GATE-IT-2004 | Question 39

• Last Updated : 28 Jun, 2021

Consider the following iterative root finding methods and convergence properties: Iterative root finding Convergence properties methods

(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
(A) Q-II R-IV S-lIlT-I
(B) Q-IIIR-II S-I T-IV
(C) Q-IIR-I S-IVT-III
(D) Q-I R-IV S-Il T-III

Explanation:

These type of  questions are standard type. You can answer these if you have strong command on the subjects.

a) False Position – Order of convergence = 1 with guarantee of convergence
b) Newton Raphson – Order of convergence = 2
c) Secant  –  Order of convergence = 1.62
d) Successive Approximation – Order of convergence = 1 with no guarantee of convergence

This solution is contributed by Anil Saikrishna Devarasetty.

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