Geodesic
On some spectral characteristics of multiparameter polynomial matrices
Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XVII, Tome 309 (2004), pp. 166-173

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The definitions of some spectral characteristics of polynomial matrices (such as the analytical (algebraic) and geometric multiplicities of a point of the spectrum, deflating subspaces, matrix solvents, and block eigenvalues and eigenvectors) are extended to the multiparameter case, and their properties are analyzed. 
@article{ZNSL_2004_309_a9,
     author = {V. B. Khazanov},
     title = {On some spectral characteristics of multiparameter polynomial matrices},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {166--173},
     publisher = {mathdoc},
     volume = {309},
     year = {2004},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2004_309_a9/}
}
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V. B. Khazanov. On some spectral characteristics of multiparameter polynomial matrices. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XVII, Tome 309 (2004), pp. 166-173. http://geodesic.mathdoc.fr/item/ZNSL_2004_309_a9/