Geodesic
Balance relation for the spectral characteristics of a~multiparameter polynomial matrix
Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXII, Tome 367 (2009), pp. 187-194

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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. Bibl. – 6 titles. 
@article{ZNSL_2009_367_a11,
     author = {V. B. Khazanov},
     title = {Balance relation for the spectral characteristics of a~multiparameter polynomial matrix},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {187--194},
     publisher = {mathdoc},
     volume = {367},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2009_367_a11/}
}
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V. B. Khazanov. Balance relation for the spectral characteristics of a~multiparameter polynomial matrix. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXII, Tome 367 (2009), pp. 187-194. http://geodesic.mathdoc.fr/item/ZNSL_2009_367_a11/