Geodesic
Computation of Jordan vector semilattices of a multiparameter polynomial matrix
Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXXIV, Tome 504 (2021), pp. 172-180

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A modification of the algorithm for computing the Jordan vector semilattices corresponding to a multiple point of the spectrum of a multiparameter polynomial matrix is suggested. The modification is based on using quasiresultant matrices and allows one to reduce the computational costs significantly. A numerical example illustrating application of the original algorithm and its modification is considered. 
@article{ZNSL_2021_504_a9,
     author = {V. B. Khazanov},
     title = {Computation of {Jordan} vector semilattices of a multiparameter polynomial matrix},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {172--180},
     publisher = {mathdoc},
     volume = {504},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2021_504_a9/}
}
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V. B. Khazanov. Computation of Jordan vector semilattices of a multiparameter polynomial matrix. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXXIV, Tome 504 (2021), pp. 172-180. http://geodesic.mathdoc.fr/item/ZNSL_2021_504_a9/