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Math Forum » Discussions » sci.math.* » sci.math.independent

Topic: Root
Replies: 21   Last Post: Jul 14, 1999 3:46 PM

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randy

Posts: 288
Registered: 12/6/04
Re: Root (EXACT Square Root Algorithm)
Posted: Jul 12, 1999 10:50 PM
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philnovi wrote:
>
> This method for square roots is EXACT for the number of digits that you have
> the patience to use it to.
[snip a nice description of the method]

Yep, that's the method I learned. And I believe I saw an
analysis once that shows how it is equivalent to Newton-Raphson,
and how an analogous method can be developed for cube roots.
But on second thought, I'm not sure I believe that connection,
since Newton provably doubles the number of bits of accuracy
at each iteration, and this method converges more slowly.

- Randy

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