Geodesic
To solving spectral problems for $q$-parameter polynomial matrices
Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXIII, Tome 382 (2010), pp. 168-183

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The method of hereditary pencils, originally suggested by the author for solving spectral problems for two-parameter matrices (pencils of matrices), is extended to the case of $q$-parameter, $q\ge2$, polynomial matrices. Algorithms for computing points of the finite regular and singular spectra of a $q$-parameter polynomial matrix and their theoretical justification are presented. Bibl. 2 titles. 
@article{ZNSL_2010_382_a12,
     author = {V. N. Kublanovskaya},
     title = {To solving spectral problems for $q$-parameter polynomial matrices},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {168--183},
     publisher = {mathdoc},
     volume = {382},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2010_382_a12/}
}
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V. N. Kublanovskaya. To solving spectral problems for $q$-parameter polynomial matrices. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXIII, Tome 382 (2010), pp. 168-183. http://geodesic.mathdoc.fr/item/ZNSL_2010_382_a12/