Allied & ICAR Exam Bank • ALLIED_2757 MCQ • 1 Mark

Section 1: Engineering Mathematics

Numerical Methods

Subtopic: Solutions of linear and non-linear algebraic equations

Question Statement:

The order of convergence of the Newton–Raphson method for a simple root is:

Options:

  • (A) 2 (Quadratic)
  • (B) 1 (Linear)
  • (C) 1.618 (Superlinear)
  • (D) 3 (Cubic)

Answer Key:

A

Step-by-Step Solution & Explanation

For simple roots, Newton–Raphson converges quadratically with error relationship $e_{n+1} \propto e_n^2$.
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