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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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/

[1] V. N. Kublanovskaya, “K resheniyu zadach algebry dlya dvukhparametricheskikh matrits. 1”, Zap. nauchn. semin. POMI, 359, 2008, 107–149 | Zbl

[2] V. N. Kublanovskaya, “K resheniyu zadach algebry dlya dvukhparametricheskikh matrits. 8”, Zap. nauchn. semin. POMI, 382, 2010, 150–167

[3] V. N. Kublanovskaya, V. B. Khazanov, Chislennye metody resheniya parametricheskikh zadach algebry. Chast 1. Odnoparametricheskie zadachi, Nauka, S.-Peterburg, 2004

[4] V. N. Kublanovskaya, V. B. Khazanov, “K resheniyu zadach algebry dlya dvukhparametricheskikh matrits. 7”, Zap. nauchn. semin. POMI, 382, 2010, 141–149 | MR