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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.