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 Cet article a éte moissonné depuis la source Math-Net.Ru

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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.
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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/

[1] V. B. Khazanov, “O nekotorykh spektralnykh kharakteristikakh $\lambda$-matrits”, Zap. nauchn. semin. LOMI , 139, 1984, 111–124 | MR | Zbl

[2] V. B. Khazanov, “Mnogoparametricheskaya problema sobstvennykh znachenii: zhordanovy polureshetki vektorov”, Zap. nauchn. semin. POMI , 219, 1994, 213–220

[3] V. B. Khazanov, “O spektralnykh svoistvakh mnogoparametricheskikh polinomialnykh matrits”, Zap. nauchn. semin. POMI , 229, 1995, 284–321

[4] V. B. Khazanov, “Rezultantnyi podkhod k vychisleniyu vektornykh kharakteristik mnogoparametricheskikh polinomialnykh matrits”, Zap. nauchn. semin. POMI , 323, 2005, 182–214 | Zbl

[5] V. B. Khazanov, “Balansovoe sootnoshenie spektralnykh kharakteristik mnogoparametricheskoi polinomialnoi matritsy”, Zap. nauchn. semin. POMI , 367, 2009, 187–194

[6] V. B. Khazanov, “K vychisleniyu kharakteristik regulyarnogo konechnogo spektra singulyarnoi mnogoparametricheskoi polinomialnoi matritsy”, Zap. nauchn. semin. POMI , 482, 2019, 259–271

[7] V. B. Khazanov, “Postroenie minimalnogo bazisa pravogo nul-prostranstva singulyarnoi mnogoparametricheskoi polinomialnoi matritsy”, Zap. nauchn. semin. POMI , 482, 2019, 272–287