main.java

Algorithm of dichotomy method

/*
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package labdixotomia;

import java.io.*;
import java.util.*;
import java.math.*;
/**
 *
 * @author r_sattaruly
 */
public class Main {

    /**
     * @param args the command line arguments
     */
    public static void main(String[] args) {
        // TODO code application logic here
        double a=-1;
        double b=1;
        double e=0.001;
        double d=0.0001;
        double x_, xz;
        double x1 ,x2;
        double f1, f2, f;
              
        while ((Math.abs(b-a))>e)
        {
            x_= (a+b)/2;
            x1=x_ - d/2;
            x2=x_ + d/2;
            f1=(x1*x1-x1-1)/(x1*x1+x1+5);
            f2=(x2*x2-x2-1)/(x2*x2+x2+5);
            if(f1<f2)
            {
                b=x_+d/2;
            }
            else
            {
                a=x_-d/2;
            }
        }
        xz=(a+b)/2;
        f=(xz*xz-xz-1)/(xz*xz+xz+5);
        System.out.println("x* = "+xz+" f(x*) = "+f);
        }
    

}