Abstract
We present a class of parametric Hessenberg matrices, intended for testing linear-algebraic procedures. Their eigenvalues and subdiagonal elements are arbitrarily prescribed, while the eigenvector and the inverse matrices are computed.
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Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 111, pp. 89–92, 1981.
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Kolotilina, L.Y. A class of test Hessenberg matrices. J Math Sci 24, 56–58 (1984). https://doi.org/10.1007/BF01230265
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DOI: https://doi.org/10.1007/BF01230265