Which of the following statements is true in respect of the convergence of the…

GATE · 1987 · CS · Question 1 subpartsModified — slightly modified from the official paper; see the solution

Which of the following statements is true in respect of the convergence of the Newton-Rephson procedure?

  1. A.

    It converges always under all circumstances.

  2. B.

    It does not converge to a root where the second differential coefficient changes sign.

  3. C.

    It does not converge to a root where the second differential coefficient vanishes.

  4. D.

    None of the above.

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