roots.hpp File Reference

Root-finding methods for scalar equations f(x) = 0. More...

#include "analysis/types.hpp"

Go to the source code of this file.

Classes
struct	num::RootResult

Namespaces
namespace	num

Functions
RootResult	num::bisection (ScalarFn f, real a, real b, real tol=1e-10, idx max_iter=1000)
	Bisection method.
RootResult	num::newton (ScalarFn f, ScalarFn df, real x0, real tol=1e-10, idx max_iter=1000)
	Newton-Raphson method.
RootResult	num::secant (ScalarFn f, real x0, real x1, real tol=1e-10, idx max_iter=1000)
	Secant method (Newton without derivative)
RootResult	num::brent (ScalarFn f, real a, real b, real tol=1e-10, idx max_iter=1000)
	Brent's method (bisection + secant + inverse quadratic interpolation)

Detailed Description

Root-finding methods for scalar equations f(x) = 0.

Definition in file roots.hpp.