Numerical Shadow

The web resource on numerical range and numerical shadow

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numerical-shadow:examples:3x3

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.
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.
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.
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.
Standard numerical shadow with respect to complex states Numerical shadow with respect to real states

numerical-shadow/examples/3x3.txt · Last modified: 2013/04/16 00:24 by lpawela