Allied & ICAR Exam Bank • ALLIED_2759 MCQ • 1 Mark

Section 1: Engineering Mathematics

Numerical Methods

Subtopic: Solutions of linear and non-linear algebraic equations

Question Statement:

In numerical analysis, the asymptotic rate of convergence of the Secant method for finding a simple root of $f(x) = 0$ is equal to:

Options:

  • (A) 1.618 (The golden ratio)
  • (B) 2.000 (Quadratic)
  • (C) 1.000 (Linear)
  • (D) 3.000 (Cubic)

Answer Key:

A

Step-by-Step Solution & Explanation

The Secant method has superlinear convergence with order equal to the golden ratio $\frac{1 + \sqrt{5}}{2} \approx 1.618$.
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