Publication
Arbitrariness of Jordan structure in factorization : the geometric multiplicity restriction and the 3 X 3 case
| Summary: | For the problem of which Jordan forms are possible for n × n complex matrices A, B and C, when A = BC, geometric multiplicity restrictions are given for the eigenvalues of the three matrices. Together with the obvious determinantal condition on the eigenvalues, these necessary conditions are shown to be sufficient for the problem when n < 4, but not for n ≥ 4. Some basic observations about the problem are given in the process. |
|---|---|
| Main Authors: | Johnson, Charles R. |
| Other Authors: | Lewis, Drew; Zhang Yulin |
| Subject: | Jordan form Geometric multiplicity Matrix product |
| Year: | 2012 |
| Country: | Portugal |
| Document type: | article |
| Access type: | open access |
| Associated institution: | Universidade do Minho |
| Language: | English |
| Origin: | RepositóriUM - Universidade do Minho |
| Summary: | For the problem of which Jordan forms are possible for n × n complex matrices A, B and C, when A = BC, geometric multiplicity restrictions are given for the eigenvalues of the three matrices. Together with the obvious determinantal condition on the eigenvalues, these necessary conditions are shown to be sufficient for the problem when n < 4, but not for n ≥ 4. Some basic observations about the problem are given in the process. |
|---|
Funded activities
Loading funded projects...