Hermitian matrices
In the case of Hermitian matrices the numerical shadow is a one dimensional distribution.
Diagonal matrices
Example 1
The matrix is $\mathrm{diag}(0,3,6)$
| Standard numerical shadow with respect to complex states | Numerical shadow with respect to real states |
|---|---|
 |  |
Example 2
The matrix is $\mathrm{diag}(0,4,6)$
| Standard numerical shadow with respect to complex states | Numerical shadow with respect to real states |
|---|---|
 |  |
Example 3
The matrix is $\mathrm{diag}(0,5,6)$
| Standard numerical shadow with respect to complex states | Numerical shadow with respect to real states |
|---|---|
 |  |
Example 4
The matrix is $\mathrm{diag}(0,6,6)$
| Standard numerical shadow with respect to complex states | Numerical shadow with respect to real states |
|---|---|
 |  |