For J_n(α)⊕βI_m, the k-th higher rank numerical range is always one of seven explicit forms: a disk, a disk plus a cone, a segment, a tilted segment, a singleton, or empty, depending on n, m, k, and |β−α|.
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Higher Rank Numerical Ranges of Jordan-Like Matrices
For J_n(α)⊕βI_m, the k-th higher rank numerical range is always one of seven explicit forms: a disk, a disk plus a cone, a segment, a tilted segment, a singleton, or empty, depending on n, m, k, and |β−α|.