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Decomposition of polynomial matrices into a direct sum of triangular summands

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Abstract

By using the transformationsSA(x)R(x), whereS andR(x) are invertible matrices, we reduce a polynomial matrixA(x) whose elementary divisors are pairwise relatively prime to a direct sum of irreducible triangular summands with invariant factors on the principal diagonals.

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Authors
  1. B. Z. Shavarovskii
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Additional information

Institute of Applied Problems in Mechanics and Mathematics, Ukrainian National Academy of Sciences, L’vov. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 51, No. 8, pp. 1144–1148, August, 1999.

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Shavarovskii, B.Z. Decomposition of polynomial matrices into a direct sum of triangular summands. Ukr Math J 51, 1291–1295 (1999). https://doi.org/10.1007/BF02592519

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  • DOI: https://doi.org/10.1007/BF02592519

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