krislibrary/krislibrary_docs/root_8h_source.html

 #ifndef MATH_ROOT_H
 #define MATH_ROOT_H

 #include "function.h"

 namespace Math {

 enum ConvergenceResult { ConvergenceX, ConvergenceF, Divergence, LocalMinimum, MaxItersReached, ConvergenceError };

 std::ostream& operator<<(std::ostream&, ConvergenceResult r);

 ConvergenceResult Root_Bisection(RealFunction& f,Real& a, Real& b, Real& x, Real tol);

 ConvergenceResult Root_Secant(RealFunction& f,Real x0, Real& x1, int& maxIters, Real tolx, Real tolf);

 ConvergenceResult Root_SecantBracket(RealFunction& f,Real& a, Real& b, Real& x, int& maxIters, Real tolx, Real tolf);

 ConvergenceResult Root_Newton(RealFunction& f,Real& x, int& maxIters, Real tolx, Real tolf);

 ConvergenceResult Root_NewtonBracket(RealFunction& f,Real a, Real b, Real& x, int& maxIters, Real tolx, Real tolf);

 ConvergenceResult Root_Newton(ScalarFieldFunction& f,const Vector& x0, Vector& x, int& maxIters, Real tolx, Real tolf);


 ConvergenceResult Root_Newton(VectorFieldFunction& f,const Vector& x0, Vector& x, int& maxIters, Real tolx, Real tolf);

 } // namespace Math

 #endif
function.h
Abstract base classes for function interfaces.

Math::Root_Bisection
ConvergenceResult Root_Bisection(RealFunction &f, Real &a, Real &b, Real &x, Real tol)
Uses bisection to bracket f&#39;s root.
Definition: root.cpp:23

Math::Root_NewtonBracket
ConvergenceResult Root_NewtonBracket(RealFunction &f, Real a, Real b, Real &x, int &iters, Real tolx, Real tolf)
Same as above, but the interval [a,b] must be known to contain a root.
Definition: root.cpp:131

Math::Root_Secant
ConvergenceResult Root_Secant(RealFunction &f, Real x0, Real &x1, int &iters, Real tolx, Real tolf)
Uses the secant method to search for f&#39;s root.
Definition: root.cpp:54

Math
Contains all definitions in the Math package.
Definition: WorkspaceBound.h:12

Math::Root_SecantBracket
ConvergenceResult Root_SecantBracket(RealFunction &f, Real &a, Real &b, Real &x, int &iters, Real tolx, Real tolf)
Definition: root.cpp:78

Math::Root_Newton
ConvergenceResult Root_Newton(RealFunction &f, Real &x, int &iters, Real tolx, Real tolf)
Performs Newton&#39;s method, which uses the derivative of f to search for it&#39;s root. ...
Definition: root.cpp:111