Question Bank • QB_EM_117 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 real root is:

Options:

  • (A) 1 (Linear)
  • (B) 2 (Quadratic)
  • (C) 1.618 (Super-linear)
  • (D) 3 (Cubic)

Answer Key:

B

Step-by-Step Solution & Explanation

Newton-Raphson method has quadratic convergence (order $p = 2$) near a simple root ($f'(r) \ne 0$), meaning the number of correct decimal digits roughly doubles with each iteration.
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