GATE_AE_2027_MOCK_05_Q15 GATE 2027 Aerospace Engineering All-India Master Mock 05 (High-Yield Comprehensive Grand Finale) MCQ · 1 Mark
Engineering Mathematics • Numerical Methods • Roots of Equations & Numerical Integration

The order of convergence of the Newton-Raphson method for finding simple roots is:

(A) Quadratic (order 2)
(B) Linear (order 1)
(C) Cubic (order 3)
(D) Logarithmic
Answer Key:
A

Step-by-Step Verified Solution

### Solution: The Newton-Raphson method exhibits quadratic convergence (order p = 2) in the vicinity of a simple root where f'(r) eq 0. Correct: A.
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