| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4598952 | Linear Algebra and its Applications | 2015 | 17 Pages |
Abstract
For any two 3-by-3 companion matrices A and B Â with identical numerical ranges, we give a necessary and sufficient condition for A=BA=B in terms of the shapes of numerical ranges and the locations of eigenvalues. In addition, all distinct 3-by-3 companion matrices with identical numerical ranges can be obtained precisely.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Hsin-Yi Lee,