Solving the matrix equation Ax=b when A is a Toeplitz matrix. We compare a general, optimized and the LU-decomposition algorithm.
The program
project1.py
Program: Has two query inputs: first specifies whether to run general, special or LU-decomposition algorithm. second specifies whether to plot approx to analytical solutions in same plot or plot the relative error. Depends on the following programs:
project1.cpp, project1_imp.cpp, project1_LU.cpp
Computing the eigenvalues and eigenvectors of a real symmetric matrix using the Jacobi eigenvalue algorithm.
Simulating the ising model by the applied Metropolis-algorithm.