Forma canònica de Weyr i aplicacions

Abstract

[en] Matrix canonical forms (with respect to similarity) provide exemplars for each similarity class, and let us study in a simpler way some properties of the square matrices. We will focus on the Weyr canonical form. We will see that although it’s the best known, the Jordan form it’s not always the most suitable form for the study of a given matrix. In general, we can’t say there is a best canonical form, it will depend on each case. We will see differents proofs of the existence and uniqueness of the canonical forms, how to calculate them, the relationships between them, and some applications.