What sort of problems can occur when using newton's method to solve (x-1)^40 for the roots/zeros?

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- Oct 26th 2007, 12:52 PMmistykzNewton's Method
What sort of problems can occur when using newton's method to solve (x-1)^40 for the roots/zeros?

- Oct 26th 2007, 11:53 PMCaptainBlack
Near this root convergence will not be quadratic but linear (happens when

the derivative at the root is zero). Also as the power is high (40) not only

will the convergence be linear it will be slow, as close to the root, after an

itteration step will be (39/40) times the error before the step.

RonL