An equation f(x)=0 has 2 roots in the interval between 0 and 8. What is the value or a description for which the Newton Raphson method will fail to converge?
At what point does the Newton Raphson method fail to converge?
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2In general, this is a very difficult question. See http://en.wikipedia.org/wiki/Newton_fractal for instance. – 2011-02-05
1 Answers
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See wikipedia. Since you're asking about a function with a multiple root, you probably want the answer in section 3.