Practical Considerations
Newton's method is an extremely powerful technique—in general the convergence is quadratic: as the method converges on the root, the difference between the root and the approximation is squared (the number of accurate digits roughly doubles) at each step. However, there are some difficulties with the method.
Read more about this topic: Newton's Method
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“History not used is nothing, for all intellectual life is action, like practical life, and if you dont use the stuffwell, it might as well be dead.”
—A.J. (Arnold Joseph)