Saturday, April 5, 2014

Java Program to Implement gauss elimination Method


import java.util.Scanner;


public class GaussElimination {
    public static void main(String args[]){
        Scanner in=new Scanner(System.in);
        System.out.println("press no of eqn:");
        int row = in.nextInt();
        int col = row+1;
        float mat[][]= new float [row][col];
        float x[] = new float [row];
       
        for (int i=0;i<row;i++){
            x[i]=0;
        }
       for(int i=0;i<row;i++){
           for (int j=0;j<col;j++){
               System.out.println("Press MAT"+(i+1)+(j+1));
               mat[i][j]= in.nextFloat();
           }
       }
       for(int i=0;i<row-1;i++){
           for(int j=i+1;j<row;j++){
               float a = mat[j][i];
               float b = mat[i][i];
               for(int k=0;k<col;k++){
                   mat[j][k]=mat[j][k]-mat[i][k]*(a/b);
               }
           }
       }
      
       System.out.println("forward elimination:");
       for(int i=0;i<row;i++){
           for(int j=0;j<col;j++){
               if(mat[i][j]==-0){
                   mat[i][j]=0;
               }
               System.out.printf("%.2f\t",mat[i][j]);
           }
           System.out.println();
       }
    System.out.println("backward substitution");
    for(int i=row-1;i>=0;i--){
        float temp =0;
        for (int j=0;j<col;j++){
            if(j<col-1){
                if(j<=i)
                    temp=mat[i][j]+temp;
                else
                    temp=mat[i][j]*x[j]+temp;
            }
            else
                temp=mat[i][j]/temp;  
        }
    x[i]=temp;
    }
    System.out.println("completed backward subt:");
  System.out.println("\n solutions") ;
  for(int i=0;i<row;i++){
      System.out.println("X"+(i+1)+"="+x[i]);
       
    }
 
    }
    }
   

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