Newton's method for finding roots of functions.

For a list of all members of this type, see NewtonRootFinder Members.

System.Object
   numerics4net.IterativeMethod
      numerics4net.root.NewtonRootFinder

Thread Safety

Public static (Shared in Visual Basic) members of this type are safe for multithreaded operations. Instance members are not guaranteed to be thread-safe.

Remarks

For example, to find roots for sine, first a Function is defined:

Function sine = new Function(Math.Sin);

along with its derivative:

Function cos = new Function(Math.Cos);

Then, a Newton's method root finder is created with the above function:

NewtonRootFinder finder = new NewtonRootFinder(sine, cos);

Lastly, locating roots is accomplished using the FindRoot method:

// find the root close to 3.
double pi = finder.FindRoot(3.0);

// find the root close to 1.
double zero = finder.FindRoot(1.0);

References:

1. Eric W. Weisstein. "Newton's Method." From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/NewtonsMethod.html

Requirements

Namespace: numerics4net.root

Assembly: numerics4net-1.2 (in numerics4net-1.2.dll)

See Also

NewtonRootFinder Members | numerics4net.root Namespace