CHAPTER 4. Direct Methods for Solving Linear Equations Systems

The following files explain all the direct methods for solving this kind of systems. I recomend you to check all the files out, because one of them doesn`t have what the other one does. I mean, although some of the methods are repeated, you`ll find extra and different information on each presentation.

Here you`ll find all the methods with some theory and demostrations.
cholesky
Bibliography: http://www.lcc.uma.es/~villa/tn/tema04.pdf

Over here you have the opportunity to solve some purposed exercises and also you`ll see step by step how you can find the solution of different systems.
sistema ecuaciones mdf Bibliography: http://www.eueti.uvigo.es/files/curso_cero/material/sistemas_de_ecuaciones.pdf

This file goes deeper through LU descompotition and Gauss-Seidel method.
Descomposición LU y el Método de Gauss-Seidel


One method is missing, it`s called THOMAS and it`s used to solve tridiagonal systems (tridiagonal matrix). This last presentation has detailed explaination about Thomas method, solving an example using it.

Sistemas tridiagonales

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Bibliography: http://www.slideshare.net