Sumários

aula 4

28 Fevereiro 2023, 10:00 João Janela

Fixed point method in R^m. Convergence analysis.

Newton's method for system of equations.


class 3

23 Fevereiro 2023, 11:30 João Janela

Fixed point theorem in R. Proof and examples.

Local results for convergence and divergence.
Linear and quadratic convergence.
Newton's method in R.
Introduction to systems of equations.Norms in R^m.


Class 2

16 Fevereiro 2023, 11:30 João Janela

Implementation of the bissection method in Python.

Fixed point method in one dimension. First considerations.


Aula 1

14 Fevereiro 2023, 10:00 João Janela

Presentation of the course.

Error propagation, conditioning and stability.
Nonlinear equations. General considerations.
Nonlinear equations in R. The Bissections method.