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numerical-range:generalizations:higher-rank-numerical-range

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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]
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 |}}
numerical-range/generalizations/higher-rank-numerical-range.txt · Last modified: 2020/04/06 15:15 by rkukulski