Geodesic
To solving problems of algebra for two-parameter matrices.~8
Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXIII, Tome 382 (2010), pp. 150-167

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The paper discusses the method of hereditary pencils for computing points of the regular and singular spectra of a general two-parameter polynomial matrix. The method allows one to reduce solution of the spectral problems metioned above to solving eigenproblems for polynomial matrices and pencils of constant matrices. Algorithms realizing the method are suggested and justified. Bibl. 4 titles. 
@article{ZNSL_2010_382_a11,
     author = {V. N. Kublanovskaya},
     title = {To solving problems of algebra for two-parameter matrices.~8},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {150--167},
     publisher = {mathdoc},
     volume = {382},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2010_382_a11/}
}
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V. N. Kublanovskaya. To solving problems of algebra for two-parameter matrices.~8. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXIII, Tome 382 (2010), pp. 150-167. http://geodesic.mathdoc.fr/item/ZNSL_2010_382_a11/