Abstract
We study the problem of reducibility of matrix polynomials to a quasidiagonal form with regular diagonal blocks by a similarity transformation. The results obtained are applied to solving matrix algebraic equations of Riccati type.
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 46, No. 7, pp. 927–934, July, 1994.
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Shavarovskii, B.Z. Selection of regular direct summands from matrix polynomials. Ukr Math J 46, 1016–1024 (1994). https://doi.org/10.1007/BF01056678
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DOI: https://doi.org/10.1007/BF01056678