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Numerical Algorithms

Slides and Notebooks by Alessandro Antonucci

  1. Representing numbers (with computers)
  • Horner's schemes
  • Two's complement and int format
  • Float format
  1. Solving non-linear equations
  • Bisection and Regula Falsi
  • Secant
  • Tangent
  1. Solving linear systems
  • Triangular system
  • Gaussian elimination
  • Recursive methods (Jacobi and Gauss-Seidel)
  1. Interpolation and integration
  • Polynomial interpolation
  • Sp-lines (degree 1, 2, 3)
  • Numerical integration
  • Simple linear regression