Abstract
We investigate the construction of unital matrix polynomials with mutually distinct characteristic roots, namely, their similarity and reducibility by the similarity transformation to block-triangular, block-diagonal, and, in particular, to triangular and diagonal forms. We also study the problem of extracting linear factors.
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 45, No. 1, pp. 69–77, January, 1993.
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Mel'nik, O.M. Construction of unital matrix polynomials with mutually distinct characteristic roots. Ukr Math J 45, 76–84 (1993). https://doi.org/10.1007/BF01062040
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DOI: https://doi.org/10.1007/BF01062040