Numerical Algorithms

Slides and Notebooks by Alessandro Antonucci

1. Representing numbers (with computers)

• Horner's schemes
• Two's complement and int format
• Float format

2. Solving non-linear equations

• Bisection and Regula Falsi
• Secant
• Tangent

3. Solving linear systems

• Triangular system
• Gaussian elimination
• Recursive methods (Jacobi and Gauss-Seidel)

4. Interpolation and integration

• Polynomial interpolation
• Sp-lines (degree 1, 2, 3)
• Numerical integration
• Simple linear regression