Abstract
For an n-by-n complex matrix A in a block form with the (possibly) nonzero blocks only on the diagonal above the main one, we consider two other matrices whose nonzero entries are along the diagonal above the main one and consist of the norms or minimum moduli of the diagonal blocks of A. In this paper, we obtain two inequalities relating the numeical radii of these matrices and also determine when either of them becomes an equality.
| Original language | English |
|---|---|
| Pages (from-to) | 15-27 |
| Number of pages | 13 |
| Journal | Bulletin of the Iranian Mathematical Society |
| Volume | 41 |
| Issue number | 7 |
| State | Published - Dec 2015 |
Keywords
- Block shift
- Minimum modulus
- Numerical radius