Solução Intervalar para Ajuste de Curvas Usando o Módulo Python-XSC

ABSTRACT

In this work, we used the Interval Mathematics, Method of Least Squares and Python language to obtain the best approximate solution for interval systems obtained from physical experiments. This resolution method will be applied to obtain the best approximate function that fits a data set from a physical experiment, in which a car was travels with constant acceleration under an inclined air trail. When doing this type of approach using Interval Mathematics, we seek to infer how the uncertainties arising from the experiment, as well as the errors generated by the representations and operations on computer, interfere with the obtained result. For this, it was necessary to use the Python for Extended Scientific Computing (Python-XSC) library, which is based on the interval arithmetic structure and provides functions for the solving of interval linear systems. The application of the study was very efficient and easy to use, which motivates its use.

Keywords:
function approximation; interval mathematics; least squares; Python; PYXSC