Geodesic
Modifications of the $\Delta W$-$q$ factorization method for multiparameter polynomial matrices and their properties
Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XVII, Tome 309 (2004), pp. 154-165

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Properties of the method of $\Delta W$-$q$ factorization of multiparameter polynomial matrices are analyzed. Modifications of the method, used in solving spectral and other multiparameter problems of algebra, are discussed. 
@article{ZNSL_2004_309_a8,
     author = {V. N. Kublanovskaya and V. B. Khazanov},
     title = {Modifications of the $\Delta W$-$q$ factorization method for multiparameter polynomial matrices and their properties},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {154--165},
     publisher = {mathdoc},
     volume = {309},
     year = {2004},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2004_309_a8/}
}
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V. N. Kublanovskaya; V. B. Khazanov. Modifications of the $\Delta W$-$q$ factorization method for multiparameter polynomial matrices and their properties. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XVII, Tome 309 (2004), pp. 154-165. http://geodesic.mathdoc.fr/item/ZNSL_2004_309_a8/