NUMERICAL ANALYSIS

Deep knowledge in Numerical Approximation

Error analysis theory. Linear systems: direct and iterative methods. Least square method: approximation theory and solution of overdetermined systems. Eigenvalues: power method, similarity transformations, Householder and Givens methods. Interpolation theory, Bezier curves, orthogonal polynomials, trigonometric interpolation. Non linear equations, gradient methods. Quadrature formulas: Newton-Cotes and gaussian methods.

1. R. Sacco, A. Quarteroni, F. Saleri, “Matematica Numerica”, Springer, 2001.

2. G.Naldi, L.Pareschi Matlab: concetti e progetti, Apogeo 2002.