Numerical Analysis Blog

Calcul Numeric, ISA II (RO), Technical University of Cluj-Napoca

This week's material

The material covered this week may be structured as follows:

Lecture 6-7 (Curs 6-7)

  1. Interpolare Lagrange (Lagrange interpolation);
  2. Diferențe divizate (Divided differences);
  3. Interpolare Hermite (Hermite interpolation);

Laboratory (Laborator).

  1. Iterative methods for linear systems: implementation of Jacobi, Gauss-Seidel and SOR methods (if these were not implemented before).
  2. Linear regression and the least squares method (Regresie liniară și metoda celor mai mici pătrate)).
  3. Implementation of the bisection method. Matching the theoretical results with the experimental ones.
  4. Implementation of Newton's method and the secant method. Convergence analysis.
  5. Newton's method for nonlinear systems. Implementation and convergence analysis.