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Couple of exercises for numerical mathematics written in Python.

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Numerical math

Topics

  • Babylonian method babylon.py
  • Bisection method bisection.py
  • Regula falsi method regulafalsi.py
  • Newton method newton.py
  • Jacobi method jacobi.py
  • Gauss Seidel method gaussseidel.py
  • Lagrange polynomial lagrange.py
  • Least squares method leastsquares.py
  • Numerical integration - Rectangular method rectangle.py
  • Numerical integration - Trapezoidal method trapezoid.py

How to

Running

First insert the numa package to your PYTHONPATH. This is example on how to run the babylon.py script.

cd numa/topics && python babylon.py

Functions

Python Sympy expression
math.log(x) log(x)
math.log10(x) log10(x)
math.exp(x) exp(x)
math.sin(x) sin(x)
math.cos(x) cos(x)

Matrices and Vectors

# input matrices as lists
[[11,2,1],[1,10,2],[2,3,-8]]

# it will generate this Matrix instance
Matrix((
    [11,2,1],
    [1,10,2],
    [2,3,-8]
))

# input vectors as lists
[15, 16, 1]

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