Geodesic
Spectral problems for pencils of polynomial matrices. Methods and algorithms.~V
Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part IX, Tome 202 (1992), pp. 26-70

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Methods and algorithms for the solution of spectral problems of singular and regular pencils $D(\lambda,\mu)=A(\mu)-\lambda B(\mu)$ of polynomial matrices $A(\mu)$ and $B(\mu)$ are suggested (the separation of continuous and discrete spectra, the computation of points of a discrete spectrum with the corresponding, Jordan chains, the computation of minimal indices and a minimal basis of polynomial solutions, the computation of the determinant of a regular pencil). Bibliography: 13 titles. 
@article{ZNSL_1992_202_a2,
     author = {V. N. Kublanovskaya and V. B. Khazanov},
     title = {Spectral problems for pencils of polynomial matrices. {Methods} and {algorithms.~V}},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {26--70},
     publisher = {mathdoc},
     volume = {202},
     year = {1992},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1992_202_a2/}
}
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V. N. Kublanovskaya; V. B. Khazanov. Spectral problems for pencils of polynomial matrices. Methods and algorithms.~V. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part IX, Tome 202 (1992), pp. 26-70. http://geodesic.mathdoc.fr/item/ZNSL_1992_202_a2/