I understand that Newton Raphson Method is used to find the zero of a function. However when I'm trying to find the maximum or minimum point, why does diving the derivative by the second derivative iterate closer to the maximum or minimum point?
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possible duplicate of Why does Newton's method work? – Ali Caglayan Oct 19 '14 at 13:51
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I think the piece you might be missing is that minimum/maximum points of a smooth function are roots of the first derivative. So Newton-Raphson applied to first derivatives entails division (or matrix inversion) using the the second derivatives. – hardmath Oct 19 '14 at 13:52
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I get why does it work, thank for your inputs! – user185574 Oct 19 '14 at 14:44
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1@Alizter Not a duplicate. That posts explains why the method works for roots. Here the OP already knows about roots, and asks why it works for max/min. – Oct 19 '14 at 15:46
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As hardmath said
I think the piece you might be missing is that minimum/maximum points of a smooth function are roots of the first derivative. So Newton-Raphson applied to first derivatives entails division (or matrix inversion) using the the second derivatives.
Ali Caglayan
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