Finish project 2

src/project2/include/helpers.hpp

@@ -0,0 +1,18 @@
+#include <armadillo>
+#include <cmath>
+
+arma::mat create_tridiagonal_matrix(int N, double h);
+
+arma::mat create_dense_matrix(int N, double h);
+
+void normalize_columns(arma::mat& A);
+
+void analytical_solution(int N, double h, arma::vec& eigenvalues, arma::mat& eigenvectors);
+
+double max_offdiag_symmetric(const arma::mat& A, int& k, int &l);
+
+void jacobi_rotate(arma::mat& A, arma::mat& R, int k, int l);
+
+void jacobi_eigensolver(const arma::mat& A, double eps, arma::vec& eigenvalues, arma::mat& eigenvectors, const int maxiter, int& iterations, bool& converged);
+
+void sort_eigenpairs(arma::vec& eigenvalues, arma::mat& eigenvectors);