Newton's method (Root Computation with continuous first derivative Root Computation)
Jump to navigation
Jump to search
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