nce.math

Class SuccessiveSubstitution

java.lang.Object

nce.math.SolverRnRn

nce.math.SuccessiveSubstitution

public class SuccessiveSubstitution
extends SolverRnRn

The successive substitution method for the solution of systems of non linear equations. Implements Wegstein's update procedure for better performance.

Version:

20140131

Author:

Carlo Tegano

Constructor Summary

Constructors

Constructor and Description
SuccessiveSubstitution()

Method Summary

Methods

Modifier and Type	Method and Description
void	init(FuncRnRn extFunc, double epsAbsX, double epsRelX, double epsAbsF, int maxIter, double[] X0) Initialization of the solver
void	iterate() Performs one iteration of the solution algorithm
void	run(java.lang.String mode) Runs the solution algorithm up to solution

Methods inherited from class nce.math.SolverRnRn

getEpsAbsF, getEpsAbsX, getEpsRelX, getF, getMaxIter, getRoot, printSolution, run, setEpsAbsF, setEpsAbsX, setEpsRelX, setMaxIter, toStringExtended

Methods inherited from class java.lang.Object

equals, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Constructor Detail

SuccessiveSubstitution

public SuccessiveSubstitution()

Method Detail

init

public void init(FuncRnRn extFunc,
        double epsAbsX,
        double epsRelX,
        double epsAbsF,
        int maxIter,
        double[] X0)

Description copied from class: SolverRnRn

Initialization of the solver

Specified by:

init in class SolverRnRn

Parameters:

extFunc - the vector of equations to be solved

epsAbsX - absolute error for convergency on X

epsRelX - relative error for convergency on X

epsAbsF - absolute error for convergency on F

maxIter - max number of iterations

X0 - initial guess for the solution vector

iterate

public void iterate()
             throws java.lang.ArithmeticException

Description copied from class: SolverRnRn

Performs one iteration of the solution algorithm

Throws:

java.lang.ArithmeticException

run

public void run(java.lang.String mode)
         throws java.lang.ArithmeticException

Description copied from class: SolverRnRn

Runs the solution algorithm up to solution

Specified by:

run in class SolverRnRn

Parameters:

mode - SILENT or VERBOSE depending on the amount of output required

Throws:

java.lang.ArithmeticException