Newton's method (Root Computation with continuous first derivative Root Computation)

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Revision as of 12:15, 15 February 2023 by Admin (talk | contribs) (Created page with "== Time Complexity == $O(n_{max})$ == Space Complexity == $O({1})$ words (Store current estimate $x_i$ and the derivative $f'$ (assuming this takes $O(1)$ space); iterations take $O(1)$ time and thus $O(1)$ space, and space can be re-used across iterations) == Description == == Approximate? == Approximate Approximation Factor: epsilon, additive == Randomized? == No, deterministic == Model of Computation == Word/Real RAM == Year == 1940 == Referenc...")
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Time Complexity

$O(n_{max})$

Space Complexity

$O({1})$ words

(Store current estimate $x_i$ and the derivative $f'$ (assuming this takes $O(1)$ space); iterations take $O(1)$ time and thus $O(1)$ space, and space can be re-used across iterations)

Description

Approximate?

Approximate

Approximation Factor: epsilon, additive

Randomized?

No, deterministic

Model of Computation

Word/Real RAM

Year

1940

Reference