gaussian elimination in c++

#include <iostream>
#include <cmath>
#include <iomanip>
using namespace std;

#define maximumCount 1000

int main() {
    int n;
    cout << "Enter the order of matrix:";
    cin >> n;
    float A[n][n+1];
    float x[n];

        for(int i=0;i<n;i++){
        for(int j=0;j<n + 1;j++){
        cout << "Enter matrix at a[" << i << "]" << "[" <<j << "]" << ": " ;
        cin >> A[i][j];
        }
    }

     //Upper triangular matrux
    for(int j=0;j<n;j++){
        for(int i=0;i<n;i++){
            if(i>j){
                float c = A[i][j] / A[j][j];
                for(int k=0;k<n+1;k++){
                    A[i][k] = A[i][k] - c*A[j][k];
                }
            }
        }
    }


        //Dividing each row
        for(int i=1;i<n;i++){
            float c =  A[i][i];
            for(int j=i;j<n+1;j++){
                A[i][j] = A[i][j] / c;
            }

        }
    for(int i=0;i<n;i++){
        for(int j=0;j<n+1;j++){
            cout << A[i][j] << " ";
        }
        cout << endl;
    }



        x[n-1] = A[n-1][n];

        //backward substitution loop
        for(int i=n-2;i>=0;i--){
            float root = A[i][n];
            for(int j = i+1; j<n ; j++){
                root -= A[i][j] * x[j];
            }
            x[i] = root;
        }
        x[0] = x[0] / A[0][0];
        for(int i=0; i<n; i++){
            cout << x[i] << endl;;
        }



        return 0;
}

Posted by: Guest on May-26-2021

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