Course Solutions Uncategorized (Solved) : Newton Method Iteration Let Xo Good Estimation Ofr Let R Xo H Since True Ro Tis R H R Xo N Q33025289 . . . .

(Solved) : Newton Method Iteration Let Xo Good Estimation Ofr Let R Xo H Since True Ro Tis R H R Xo N Q33025289 . . . .

 

The Newton (Method) Iteration Let xo be a good estimation ofr and let r = xo + h. Since the true ro tis r, and h = r-xo-the number k measures how far the estimate x is from the truth. Since h is small. We can use the linear (tangent line) approximation to conclude that: And therefore, unless f( Xo) is close to 0, f(xo) (Xo) It follows that f(xo) ( x0) Our new improved estimate x of r is therefore given by F(xo) The next estimate x2 is obtained from x is exactly the same way 

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