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Answer by PierreCarre for Problem with Newton's method (numerical analysis)
Take the example $f(x) = x^{2/5}$. If you choose some $x_0 \ne 0$, then $x_1$ is given by$$x_1 = x_0 - \frac{f(x_0)}{f'(x_0)} = -\frac 32 x_0.$$So, you can see that the magnitude of the sequence...
View ArticleProblem with Newton's method (numerical analysis)
I am not understanding how to proceed with this exercise, which asks me to solve $f(x) = 0$ by using Newton's method. It asks me to study the convergence of the sequences $x_k$ (built with Newton's...
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