Crate numra_nonlinear 

Nonlinear solvers for Numra.

This crate provides iterative methods for solving systems of nonlinear equations:

• Newton-Raphson with line search for globalization
• Support for both analytical and numerical (finite difference) Jacobians

Example

use numra_nonlinear::{Newton, NewtonOptions, NonlinearSystem};

// Solve x^2 = 2 (find sqrt(2))
struct SquareRoot;

impl NonlinearSystem<f64> for SquareRoot {
    fn dim(&self) -> usize { 1 }
    fn eval(&self, x: &[f64], f: &mut [f64]) {
        f[0] = x[0] * x[0] - 2.0;
    }
}

let solver = Newton::default_solver();
let result = solver.solve(&SquareRoot, &[1.5]).unwrap();
assert!((result.x[0] - std::f64::consts::SQRT_2).abs() < 1e-10);

Author: Moussa Leblouba Date: 8 February 2026 Modified: 2 May 2026

Re-exports

pub use line_search::wolfe_line_search;

pub use line_search::LineSearchError;

pub use line_search::LineSearchResult;

pub use line_search::WolfeOptions;

pub use newton::newton_solve;

pub use newton::Newton;

pub use newton::NewtonOptions;

pub use newton::NewtonResult;

pub use newton::NonlinearSystem;

Modules

line_search

Wolfe line search for globalized optimization.

newton

Newton-Raphson solver with optional line search.

Enums

LinalgError

Linear algebra specific errors.