For example Choose It will converge to instead of Figure 11 Root jumping from intended location of root for. However, the guesses may jump and converge to some other root. Root Jumping In some cases where the function is oscillating and has a number of roots, one may choose an initial guess close to a root. Figure 10 Oscillations around local minima for. ĭrawbacks – Oscillations near local maximum and minimum Table 3 Oscillations near local maxima and mimima in Newton-Raphson method. For example for the equation has no real roots. Eventually, it may lead to division by a number close to zero and may diverge. Oscillations near local maximum and minimum Results obtained from the Newton-Raphson method may oscillate about the local maximum or minimum without converging on a root but converging on the local maximum or minimum. Figure 9 Pitfall of division by zero or near a zero number ĭrawbacks – Oscillations near local maximum and minimum 3. Figure 8 Divergence at inflection point for ĭrawbacks – Division by Zero Division by zero For the equation the Newton-Raphson method reduces to For, the denominator will equal zero.
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