Geodesic
Computation of Jordan semi-lattices of vectors of a multiparameter polynomial matrix
Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXXIII, Tome 496 (2020), pp. 182-194

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An algorithm for computing Jordan semi-lattices of vectors corresponding to a multiple point of the spectrum of a singular multiparameter polynomial matrix, based on using quasi-resultant matrices, is suggested. An illustration of the algorithm implementation is provided. 
@article{ZNSL_2020_496_a13,
     author = {V. B. Khazanov},
     title = {Computation of {Jordan} semi-lattices of vectors of a multiparameter polynomial matrix},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {182--194},
     publisher = {mathdoc},
     volume = {496},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2020_496_a13/}
}
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V. B. Khazanov. Computation of Jordan semi-lattices of vectors of a multiparameter polynomial matrix. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXXIII, Tome 496 (2020), pp. 182-194. http://geodesic.mathdoc.fr/item/ZNSL_2020_496_a13/