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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 |
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== Unitary matrices == | == 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 |}} |