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  1. public class Main {
  2.  
  3.  
  4.     static double f(double x) {
  5.         return ((x - 2) * x - 1) * x - 3;
  6.     }
  7.  
  8.  
  9.     static double fPrime(double x) {
  10.         return (3 * x - 4) * x - 1;
  11.     }
  12.  
  13.     public static void main(String[] args) {
  14.  
  15.         double x = 3;     
  16.         double eps = 1e-6;
  17.         int iter = 1;
  18.  
  19.         System.out.println("ENTER THE TOTAL NO. OF POWER:::: 3");
  20.         System.out.println("x^0:: -3");
  21.         System.out.println("x^1:: -1");
  22.         System.out.println("x^2:: -2");
  23.         System.out.println("x^3::  1");
  24.         System.out.println("\nTHE POLYNOMIAL IS :: x^3 - 2x^2 - 1x - 3");
  25.         System.out.println("INITIAL X1 ----> 3\n");
  26.  
  27.         System.out.println("******************************");
  28.         System.out.println("ITERATION    X1        FX1        FPX1");
  29.         System.out.println("*******************************");
  30.  
  31.         while (true) {
  32.  
  33.             double fx = f(x);
  34.             double fpx = fPrime(x);
  35.             double xNext = x - fx / fpx;
  36.  
  37.             System.out.printf("%-10d  %.6f   %.6f   %.6f\n",
  38.                     iter, x, fx, fpx);
  39.  
  40.             if (Math.abs(xNext - x) < eps)
  41.                 break;
  42.  
  43.             x = xNext;
  44.             iter++;
  45.         }
  46.  
  47.         System.out.println("*******************");
  48.         System.out.println("\nTHE ROOT OF EQUATION IS  " + x);
  49.     }
  50. }
  51.  
Success #stdin #stdout 0.17s 58072KB
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stdout
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ENTER THE TOTAL NO. OF POWER:::: 3
x^0:: -3
x^1:: -1
x^2:: -2
x^3::  1

THE POLYNOMIAL IS :: x^3 - 2x^2 - 1x - 3
INITIAL X1 ----> 3

******************************
ITERATION    X1        FX1        FPX1
*******************************
1           3.000000   3.000000   14.000000
2           2.785714   0.311589   11.137755
3           2.757738   0.004954   10.784409
4           2.757279   0.000001   10.778647
*******************

THE ROOT OF EQUATION IS  2.757279044183619
https://ideone.com/QjdCdz
language:
Java (HotSpot 12)
created:
2 days ago
visibility:
public

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