MathRoot_Newton.hxx File Reference

#include <MathUtils_Types.hxx>
#include <MathUtils_Config.hxx>
#include <MathUtils_Core.hxx>
#include <MathUtils_Convergence.hxx>
#include <cmath>

Namespaces
namespace	MathRoot
	Root finding algorithms for scalar functions.

Functions
template<typename Function >
MathUtils::ScalarResult	MathRoot::Newton (Function &theFunc, double theGuess, const MathUtils::Config &theConfig=MathUtils::Config())
	Newton-Raphson root finding algorithm. Finds x such that f(x) = 0 using Newton's method with derivative.
template<typename Function >
MathUtils::ScalarResult	MathRoot::NewtonBounded (Function &theFunc, double theGuess, double theLower, double theUpper, const MathUtils::Config &theConfig=MathUtils::Config())
	Newton-Raphson with bounds checking. Falls back to bisection step if Newton step goes outside bounds. More robust than pure Newton for ill-conditioned problems.