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Program to Implement Gauss Seidel Method

Program to Implement Gauss Seidel Method

This is a C++ Program to implement Gauss Seidel Method. In numerical linear algebra, the Gauss-Seidel method, also known as the Liebmann method or the method of successive displacement, is an iterative method used to solve a linear system of equations.

    #include<iostream>

    #include<conio.h>

    using namespace std;

    int main(void)

    {

        float a[10][10], b[10], x[10], y[10];

        int n = 0, m = 0, i = 0, j = 0;

        cout << "Enter size of 2d array(Square matrix) : ";

        cin >> n;

        for (i = 0; i < n; i++)

        {

            for (j = 0; j < n; j++)

            {

                cout << "Enter values no :(" << i << ", " << j << ") ";

                cin >> a[i][j];

            }

        }

        cout << "\nEnter Values to the right side of equation\n";

        for (i = 0; i < n; i++)

        {

            cout << "Enter values no :(" << i << ", " << j << ") ";

            cin >> b[i];

        }

        cout << "Enter initial values of x\n";

        for (i = 0; i < n; i++)

        {

            cout << "Enter values no. :(" << i<<"):";

            cin >> x[i];

        }

        cout << "\nEnter the no. of iteration : ";

        cin >> m;

        while (m > 0)

        {

            for (i = 0; i < n; i++)

            {

                y[i] = (b[i] / a[i][i]);

                for (j = 0; j < n; j++)

                {

                    if (j == i)

                        continue;

                    y[i] = y[i] - ((a[i][j] / a[i][i]) * x[j]);

                    x[i] = y[i];

                }

                printf("x%d = %f    ", i + 1, y[i]);

            }

            cout << "\n";

            m--;

        }

        return 0;

    }