2019
Том 71
№ 9

All Issues

Decomposition of polynomial matrices into a direct sum of triangular summands

Shavarovskyy B. Z.

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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.

English version (Springer): Ukrainian Mathematical Journal 51 (1999), no. 8, pp 1291-1295.

Citation Example: Shavarovskyy B. Z. Decomposition of polynomial matrices into a direct sum of triangular summands // Ukr. Mat. Zh. - 1999. - 51, № 8. - pp. 1144–1148.

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