The known balance relation interrelating the spectrum multiplicities and the sums of mini-indices of a one-parameter polynomial matrix with its degree and rank is generalized to the case of a multiparameter polynomial matrix. Bibliography: 6 titles.
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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 367, 2009, pp. 187–194.
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Khazanov, V.B. Balance relation for the spectral characteristics of a multiparameter polynomial matrix. J Math Sci 165, 597–600 (2010). https://doi.org/10.1007/s10958-010-9829-9
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DOI: https://doi.org/10.1007/s10958-010-9829-9