论文标题

4 x-4 nilpotent矩阵的数值范围的边界上的非平行平坦部分

Non-parallel Flat Portions on the Boundaries of Numerical Ranges of 4-by-4 Nilpotent Matrices

论文作者

Cox, Mackenzie, Grewe, Weston M., Hochrein, Grace K., Patton, Linda J., Spitkovsky, Ilya M.

论文摘要

4 x-4 nilpotent矩阵的数值范围在其边界上具有非平行平坦部分,而在其边界上与原点相等。它们的数值范围总是对线的对称性,并且通过构成扁平部分的线之间的所有可能角度。

The 4-by-4 nilpotent matrices the numerical ranges of which have non-parallel flat portions on their boundary that are on lines equidistant from the origin are characterized. Their numerical ranges are always symmetric about a line through the origin and all possible angles between the lines containing the flat portions are attained.

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