R. Checa-Garcia webpage | Linear Algebra

Notebook

Linear Algebra and Computing

Scientific Computing and Linear Algebra

COMPUTING-BLOG
math programming

Table of Contents

Introduction

This post just remember several linear algebra properties that are relevant for scientific programming.

Reducible Matrix

Definition: An square matrix A is reducible if there is a matrix P (basis change) such that,

This property is very useful because the typical linear system solution is now more easy to resolve in terms of computing because

The subsystem is indepentent of the other B matrices with the logical computational improvement.