Unformatted text preview: e n the error of the nth approximation ( e n = p n − x ∗ ), then e n +1 ≤ Ke 2 n for some K > 0, as long as the initial iterate p is suFciently close to x ∗ . You may assume that f has in±nitely many continuous derivatives. 1...
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 Fall '08
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 Calculus, Addition, Newton’s method, initial iterate p0

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