Geodesic
Computation of a minimal basis of the right null space of a singular multiparameter polynomial matrix
Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXXII, Tome 482 (2019), pp. 272-287

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A modification of an algorithm, based on the resultant approach, for computing a minimal basis of the right null space of a singular multiparameter polynomial matrix is suggested. The modification suggested is based on simultaneous computation of bases of the image and kernel of a constant matrix and allows one to reduce computational costs. This modification also permits one to compute a basis of the image of a polynomial matrix. The implementation of the algorithm is illustrated on an example. 
@article{ZNSL_2019_482_a18,
     author = {V. B. Khazanov},
     title = {Computation of a minimal basis of the right null space of a singular multiparameter polynomial matrix},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {272--287},
     publisher = {mathdoc},
     volume = {482},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2019_482_a18/}
}
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V. B. Khazanov. Computation of a minimal basis of the right null space of a singular multiparameter polynomial matrix. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXXII, Tome 482 (2019), pp. 272-287. http://geodesic.mathdoc.fr/item/ZNSL_2019_482_a18/