Numerical Methods

1. Introduction

• Representation of numbers in machines
• Truncation, rounding and errors
• Error propagation

2. Equations Resolution

Find root of non-trivial equations with the following methods:

1. Bissection
2. False position
3. Newton-Raphson
4. Secant

3. Systems of Linear Algebric Equations

Determine the values of X1, X2, ..., Xn, which simultaneously satisfy a set of equations.

1. Gauss elimination
   1.1 Regular
   1.2 Partial pivot
2. LU decomposition
3. Cholesky decomposition

Programming

Language: Python 2.7.12
Run with the following command in terminal:

  $ python file_name.py