Formulates and partially proves a conjecture on necessary and sufficient conditions for reality of the asymptotic spectrum of arbitrary real banded block Toeplitz matrices, as a direct generalization of the scalar banded case.
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On reality of eigenvalues of banded block Toeplitz matrices
Formulates and partially proves a conjecture on necessary and sufficient conditions for reality of the asymptotic spectrum of arbitrary real banded block Toeplitz matrices, as a direct generalization of the scalar banded case.