Root Computation with continuous first derivative (Root Computation)
Revision as of 07:52, 10 April 2023 by Admin (talk | contribs) (Created page with "{{DISPLAYTITLE:Root Computation with continuous first derivative (Root Computation)}} == 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 == {| class="wikitable sortable" style="text-align:center;"...")
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 |