Eigenvalues of anti-heptadiagonal persymmetric Hankel matrices are zeros of explicit polynomials, with eigenvector representations and parameter-dependent formulas for powers and an explicit inverse.
Fasino, Spectral and structural properties of some penta diagonal symmetric matrices, Calcolo 25(4) (1988) 301–310
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Eigenvalues of a class of heptadiagonal symmetric matrices are located as zeros of explicit rational functions, with accompanying bounds, eigenvectors, determinant, and inverse formulas.
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Spectral properties of anti-heptadiagonal persymmetric Hankel matrices
Eigenvalues of anti-heptadiagonal persymmetric Hankel matrices are zeros of explicit polynomials, with eigenvector representations and parameter-dependent formulas for powers and an explicit inverse.
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Spectral properties for a type of heptadiagonal symmetric matrices
Eigenvalues of a class of heptadiagonal symmetric matrices are located as zeros of explicit rational functions, with accompanying bounds, eigenvectors, determinant, and inverse formulas.