newton_rootfinder is a scientific computing rust crate to solve nonlinear equation systems thanks to rootfinding methods.
This crate implements Newton's method and other derived methods.
To see a visualization of this method, you can watch this video: Newton's fractal
This crate provides methods applicable for n-dimensional problems.
It provides several parametrization options and a simulation log to monitor the resolution process.
This crate does NOT provide a solver for nonlinear differential equations.
This crate does NOT provide a specific solver for one dimensional problems.
Check the documentation on doc.rs
For the comparison with other crates that implements several fonctionalities, the module of those crate has been explicited.
Note: Crates may have evolved since this comparison was established.
If you feel that this comparison needs an update, don't hesite to open an issue or to do a pull request !
The following crates are providing solvers based on Newton's method for n-dimensional systems.
newton_rootfinder aims to be the reference crate for n-dimensional rootfinding algorithms and is focused only on that topic.
| crate | version | Advanced
Parametrization | Simulation
Log | Other iterative
algorithms |
|--------|--------:|:-----------------------------:|:-------------------:|:------------------------------:|
| newton_rootfinder | 0.9.0 | ✔️ | ✔️ | ✔️ |
| peroxide::numerical::newton | 0.30.9 | ❌ | ❌ | ❌ |
bacon_sci::roots (0.12.0) also implements n-dimensional methods, but only for polynomials.
If you are looking crates for one dimensional solver, newton_rootfinder is not the right one for you, but the rust ecosystem has several options :
| crate | version | Newton-Raphson | Other Iterative methods | Analytical methods | Error handling | |------ |--------:|:--------------:|:-----------------------:|:-------------------:|:--------------:| | newton-raphson | 0.1.0 | ✔️ | ❌ | ❌ | ❌ | | nrfind | 1.0.3 | ✔️ | ❌ | ❌ | ✔️ | | rootfind | 0.7.0 | ✔️ | ✔️ | ❌ | ✔️ | | roots | 0.6.0 | ✔️ | ✔️ | ✔️ | ✔️ | | bacon_sci | 0.11.0 | ✔️ | ✔️ | ❌ | ✔️ |
Check the CONTRIBUTE.md file, help is always welcome !
newton_rootfinder is dual licensed, you can choose to use it with either: