Can you please explain how the source code works: //Gauss Elimination #include #include #include #include #include #include
Can you please explain how the source code works:
//Gauss Elimination
#include <iostream>
#include <cmath>
#include <
#include <fstream>
#include <iterator>
#include <string>
#include <iomanip>
using namespace std;
int main() {
double Mat[2][3];
vector<double> q(2);
int Nx = 2, ii, jj, kk;
Mat[1][1] = 2.0;
Mat[1][2] = 3.0;
Mat[1][3] = 2.5;
Mat[2][1] = 1.3;
Mat[2][2] = 3.0;
Mat[2][3] = 2.5;
cout << "Matrix: " << endl;
for (ii = 0; ii < Nx; ii++) {
for (jj = 0; jj < Nx + 1; jj++) {
cout << Mat[ii][jj] << " ";
cout << endl;
}
}
// Triangularization
for (ii = 0; ii < Nx - 1; ii++)
for (kk = ii + 1; kk < Nx; kk++)
{
double t = Mat[kk][ii] / Mat[ii][ii];
for (jj = 0; jj <= Nx; jj++)
Mat[kk][jj] = Mat[kk][jj] - t * Mat[ii][jj];
} // Resolution
for (ii = Nx - 1; ii >= 0; ii--)
{
q[ii] = Mat[ii][Nx];
for (jj = Nx - 1; jj > ii; jj--)
q[ii] = q[ii] - Mat[ii][jj] * q[jj];
q[ii] = q[ii] / Mat[ii][ii];
}
cout << "Solution of the system: " << endl;
cout << q[1] << endl;
cout << q[2] << endl;
return 0;
}
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