Decomposability of matrix polynomials with commuting coefficients into a product of linear factors
The list of known sets of factorizable matrix polynomials is supplemented by new sets of polynomials of this sort. The known set of nonfactorizable matrix polynomials is extended. These results can be applied to the study of polynomial equations and systems of differential equations with constant coefficients.
English version (Springer): Ukrainian Mathematical Journal 62 (2010), no. 8, pp 1295-1306.
Citation Example: Shavarovskyy B. Z. Decomposability of matrix polynomials with commuting coefficients into a product of linear factors // Ukr. Mat. Zh. - 2010. - 62, № 8. - pp. 1114–1123.