Class NewtonRootFinder


  • public class NewtonRootFinder
    extends RootFinder
    This class implements the Newton method for finding zeros of a function.
    Author:
    Matthias Thimm
    • Field Summary

      Fields 
      Modifier and Type Field Description
      static int MAX_FIX_ITERATIONS
      The maximum number of fixing iterations.
      static double PRECISION
      The precision of the approximation.
    • Constructor Summary

      Constructors 
      Constructor Description
      NewtonRootFinder()
      Creates a new Newton root finder for the given starting point and the given function
    • Method Summary

      Modifier and Type Method Description
      java.util.Map<Variable,​Term> randomRoot​(java.util.List<Term> functions, java.util.Map<Variable,​Term> startingPoint)
      Determines the values for the variables appearing in the function such the function evaluates to zero.
      • Methods inherited from class java.lang.Object

        equals, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait
    • Field Detail

      • PRECISION

        public static final double PRECISION
        The precision of the approximation. The actual used precision depends on the number of variables.
        See Also:
        Constant Field Values
      • MAX_FIX_ITERATIONS

        public static final int MAX_FIX_ITERATIONS
        The maximum number of fixing iterations.
        See Also:
        Constant Field Values
    • Constructor Detail

      • NewtonRootFinder

        public NewtonRootFinder()
        Creates a new Newton root finder for the given starting point and the given function
    • Method Detail

      • randomRoot

        public java.util.Map<Variable,​Term> randomRoot​(java.util.List<Term> functions,
                                                             java.util.Map<Variable,​Term> startingPoint)
                                                      throws GeneralMathException
        Description copied from class: RootFinder
        Determines the values for the variables appearing in the function such the function evaluates to zero.
        Specified by:
        randomRoot in class RootFinder
        Parameters:
        functions - the functions
        startingPoint - the starting point for the search
        Returns:
        a map from variables to terms such that "function" evaluates to zero.
        Throws:
        GeneralMathException - if something went wrong.