Consider the following iterative root-finding methods and convergence…

GATE · 2004 · IT

Consider the following iterative root-finding methods and convergence properties.

Methods:

(Q) False Position

(R) Newton-Raphson

(S) Secant

(T) Successive Approximation

Convergence properties:

(I) Order of convergence = 1.62

(II) Order of convergence = 2

(III) Order of convergence = 1 with guarantee of convergence

(IV) Order of convergence = 1 with no guarantee of convergence

Which of the following is the correct matching?

  1. A.

    Q-III R-IV S-II T-I

  2. B.

    Q-III R-II S-I T-IV

  3. C.

    Q-II R-I S-IV T-III

  4. D.

    Q-I R-IV S-II T-III

Attempted by 9 students.

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Correct answer: B

The worked solution is available to enrolled students.

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