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Computational-Methods-Algorithms

Overview

  • Simple project on IEEE 754 & 2's complement => main.py
  • Comparative study of real zero methods for real functions. => ./Zero_Functions

Development of a program that applies the following computational methods for real zero of real functions:

  • M1- Bisection;
  • M2- False Position;
  • M3 - Newton;
  • M4 - Secant;

The program should calculate the zeros for the following functions, intervals, and precision:

  • F1: 7x^3 - x^2 - 28x + 4 for the interval [0, 1] and precisions ε = ε1 = 10^-5 and ε2 = 10^-6.

  • F2: 6x^4 - 7x^3 - 33x^2 + 35x + 15, for the intervals [-3, -2], [-1, 0], [1, 2], and [2, 3] for precisions ε = ε1 = 10^-7 and ε2 = 10^-7.

Note: In total, for each method, there will be 5 tables, one for each function/interval. Each table should include:

  • k, ak, bk, xk, f(ak), f(bk), f(xk), and bk - ak.

Finally, print the chosen x value.

Technologies Used

The technologies used to develop the project are very simple.


Python Tkinter

Contact

Project Developer: I am student of the Federal University of Mato Grosso - Class of 2022.

Anthony Ricardo Rodrigues Rezende
Anthony's Photo

Acknowledgments

Useful resources that we would like to give credit for.