Numerical Computing

The notebooks I worked on during the Numerical Computing course at the University of Bologna.

Topics covered

1. Linear systems: matrices, norms, LU factorization, Cholesky factorization.
2. Singular value decomposition with applications to image compression.
3. Linear least squares problem and polynomial regression.
4. Nonlineare equations: fixed-point iteration and Newton method.
5. Unconstrained optimization: gradient descent and backtracking line search.
6. Image enhancement: deblurring, denoising, Tikhonov regularization.
7. Super resolution of images and total variation denoising.

Credits

These notebooks are a completed and modified version of the ones created by @sedaboni as exercises for the Numerical Computing course at the University of Bologna.