Geodesic
To solving problems of algebra for two-parameter matrices.~10
Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXV, Tome 405 (2012), pp. 170-185

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The paper considers conditions under which rank factorizations of a two-parameter polynomial matrix can be effected with the use of unimodular matrices, as in the one-parameter case. Algorithms for computing such factorizations and a minimal basis of the null space of the corresponding matrix are presented. Also an algorithm for inverting unimodular two-parameter polynomial matrices is suggested. 
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     author = {V. N. Kublanovskaya},
     title = {To solving problems of algebra for two-parameter matrices.~10},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {170--185},
     publisher = {mathdoc},
     volume = {405},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2012_405_a13/}
}
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V. N. Kublanovskaya. To solving problems of algebra for two-parameter matrices.~10. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXV, Tome 405 (2012), pp. 170-185. http://geodesic.mathdoc.fr/item/ZNSL_2012_405_a13/