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    it turns out there’s a Phd bachelor thesis on this topic.

    Edited to correct error per child post

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      Looks like a bachelor’s thesis, not a Ph.D thesis.

      Pretty big difference there.

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        You’re right, my mistake.

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        Fascinating! At some point I read one of the previous explanations cited in this paper. I’m delighted to see Robertson went one step further and algebraically derived the constant optimal post-Newton iteration, producing optimal constants for 64 and 128 bit floats.

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        Thank you! I was actually just arguing with a friend about this a couple days ago and digging up the original source was on my to-do list.