ISRO Computer Science (CSE) 2009 - Question 44

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A root alpha of equation f(x) = 0 can be computed to any degree of accuracy if a 'good' initial approximation x0 is chosen for which

  • A. f(x0) > 0
  • B. f(x0) f''(x0) > 0
  • C. f(x0) f''(x0) < 0
  • D. f''(x0) > 0

Answer: B. f(x0) f''(x0) > 0

Explanation: Convergence of Newton-Raphson is guaranteed if f(x0) * f''(x0) > 0.

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