Geodesic
Methods for solving some parameter problems of algebra
Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XVIII, Tome 323 (2005), pp. 164-181

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Methods for solving the following parameter problems are considered: division of scalar and matrix polynomials and computation of their GCD and LCM; finding bases of the sum, difference, and intersection of the linear span of polynomial vectors; constructing a minimal MFD (matrix fraction description) of a rational matrix; computing a range basis and a minimal basis of the null-space of a rational matrix; solving matrix equations and computing inverse and pseudoinverse matrices (both for polynomial and rational objects); computing generating eigenvectors of a polynomial matrix. 
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     author = {V. B. Khazanov},
     title = {Methods for solving some parameter problems of algebra},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {164--181},
     publisher = {mathdoc},
     volume = {323},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2005_323_a11/}
}
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V. B. Khazanov. Methods for solving some parameter problems of algebra. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XVIII, Tome 323 (2005), pp. 164-181. http://geodesic.mathdoc.fr/item/ZNSL_2005_323_a11/