I must consider the iteration . I must find the constants and such that .

Where and is the root of f.

My attempt: .

So I must rewrite as . Thus I think I must relate to but I don't know how to proceed.

Any idea?

Thank you.

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- Apr 3rd 2011, 02:31 PMarbolisA variant to Newton's method
I must consider the iteration . I must find the constants and such that .

Where and is the root of f.

My attempt: .

So I must rewrite as . Thus I think I must relate to but I don't know how to proceed.

Any idea?

Thank you.