Root Computation with continuous first derivative (Root Computation)
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Description
Given a real function with continuous first derivative, compute one of the roots.
Related Problems
Related: General Root Computation
Parameters
$\epsilon$: (additive) tolerance error
$a, b$: endpoint values, with $b>a$
$n_{max}$: maximum number of iterations
Table of Algorithms
| Name | Year | Time | Space | Approximation Factor | Model | Reference |
|---|---|---|---|---|---|---|
| Newton's method | 1940 | $O(n_{max})$ | $O({1})$ | epsilon, additive | Deterministic |