Solutions to Nonlinear Equations: Difference between revisions
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[[File:Solutions to Nonlinear Equations - Space.png|1000px]] | [[File:Solutions to Nonlinear Equations - Space.png|1000px]] | ||
== | == Time-Space Tradeoff == | ||
[[File:Solutions to Nonlinear Equations - Pareto Frontier.png|1000px]] | [[File:Solutions to Nonlinear Equations - Pareto Frontier.png|1000px]] | ||
Revision as of 14:48, 15 February 2023
Description
Compute the solutions to a given nonlinear equation of the form $f(x) = 0$.
Parameters
No parameters found.
Table of Algorithms
| Name | Year | Time | Space | Approximation Factor | Model | Reference |
|---|---|---|---|---|---|---|
| Bisection method | -150 | $O(n_max)$ | $O({1})$ | Exact | Deterministic | |
| Regula Falsi method | -200 | $O(n_max)$ | $O({1})$ | Exact | Deterministic | |
| Secant method | -1400 | $O(n_max)$ | $O({1})$ | Exact | Deterministic | |
| Newton's method | 1669 | $O(n_max)$ | $O({1})$ | Exact | Deterministic |
Time Complexity Graph
Space Complexity Graph
Time-Space Tradeoff
