Numerical Analysis

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Table Of Contents

1. Algorithms:
   1.1 Definition and Horner's Method
2. Precision:
   2.1 Representation of Numbers
   2.2 Precision and Errors
   2.3 Machine Epsilon vs Minimum Positive Value
   2.4 Complements:

   Floating-point arithmetic (wikipedia)
   What Every Computer Scientist Should Know About Floating-Point Arithmetic (oracle)

3. Linear Systems:
   3.1 Conditioning and Stability
   3.2 Norms
   3.3 Conditioning of a Linear System
   3.4 Gaussian Elimination
   3.5 Jacobi & Gauss-Seidel Method
   3.6 Iterative Methods
4. Approximation:
   4.1 Root-finding Methods (tomophilic galore)
   4.2 Rate of Convergence
   4.3 Function Approximation
   4.4 Best Fit
   4.5 Interpolation

4.6 Lagrange Polynomials
4.7 Newton Polynomials
4.8 Divided Differences