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--- numerical-range:generalizations:higher-rank-numerical-range [2018/11/03 22:48]
lpawela
+++ numerical-range:generalizations:higher-rank-numerical-range [2018/11/03 22:54] (current)
lpawela
@@ Line 45: / Line 45: @@
 == Unitary matrices ==
-{{:numerical-range:generalizations:real_s3d5.png?nolink&500|}}
+Numerical range (blue) and real numerical shadow of the matrix $U_5 = \mathrm{diag}(\left\{\ee^{2\pi \ii k/5}\right\}_{k=1}^5)$. The red polygon inside is $\Lambda_2(U_5)$.
-{{:numerical-range:generalizations:real_s3d7.png?nolink&500|}}
+{{ :numerical-range:generalizations:real_s3d5.png?nolink&500 |}}
+Numerical range (blue) and real numerical shadow of the matrix $U_7 = \mathrm{diag}(\left\{\ee^{2\pi \ii k/5}\right\}_{k=1}^7)$. The red polygon inside is $\Lambda_2(U_7)$ and the green polygon is $\Lambda_3(U_7)$.
+{{ :numerical-range:generalizations:real_s3d7.png?nolink&500 |}}

Numerical Shadow