I need help. Consider a matrix that has only one eigenvalue (say 3) but this value has algebraic multiplicity bigger than 1.
Is 3 the dominant eigenvalue of the matrix or not? When determining if there is dominant eigenvalue,
how do we "count" eigenvalues? As 3, 3 or just one 3?
Edit: Such a matrix can be for example:
| 3 1 |
| 0 3 |
Edit: The topic of the thread - "diagonally dominant eigenvalue" is a mistake and cannot be edited. Please disregard "diagonally"