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]