Newton's method (Solutions to Nonlinear Equations Solutions to Nonlinear Equations)

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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?

Exact

Randomized?

No, deterministic

Model of Computation

Word/Real RAM

Year

1669

Reference

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