Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §3.6 Iterations x, #33 · Calculus · Applications of derivatives

Newton's method computes a new … at each step

Newton's method computes a new $c = 1/ f^{'} (x_{n})$ at each step. Write out the iteration formulas for $f (x) = x^{3} - 2 = 0$ and $f (x) = sin x - \frac{1}{2} = 0$ .

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §3.6 Iterations x, #33

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