All Jordan canonical forms of irreducible totally non-negative matrices
[EN] Let be an irreducible totally non-negative matrix with rank r and principal rank p, that is, every minor of A is non-negative and p is the size of the largest invertible principal submatrix of A. Using Number Theory, we calculate the number of Jordan canonical forms of irreducible totally non-n...
| Authors: | , , |
|---|---|
| Format: | article |
| Publication Date: | 2021 |
| Country: | España |
| Institution: | Universitat Politècnica de València (UPV) |
| Repository: | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
| Language: | English |
| OAI Identifier: | oai:riunet.upv.es:10251/179419 |
| Online Access: | https://riunet.upv.es/handle/10251/179419 |
| Access Level: | Open access |
| Keyword: | Totally non-negative matrix Irreducible matrix Principal rank Jordan canonical form MATEMATICA APLICADA |
| Summary: | [EN] Let be an irreducible totally non-negative matrix with rank r and principal rank p, that is, every minor of A is non-negative and p is the size of the largest invertible principal submatrix of A. Using Number Theory, we calculate the number of Jordan canonical forms of irreducible totally non-negative matrices associated with a realizable triple . Moreover, by using full rank factorizations of A and applying the Flanders theorem we obtain all these Jordan canonical forms. Finally, some algorithms associated with these results are given |
|---|