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

Voir la notice du chapitre de livre

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},
     year = {2021},
     volume = {504},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2021_504_a9/}
}
TY  - JOUR
AU  - V. B. Khazanov
TI  - Computation of Jordan vector semilattices of a multiparameter polynomial matrix
JO  - Zapiski Nauchnykh Seminarov POMI
PY  - 2021
SP  - 172
EP  - 180
VL  - 504
UR  - http://geodesic.mathdoc.fr/item/ZNSL_2021_504_a9/
LA  - ru
ID  - ZNSL_2021_504_a9
ER  - 
%0 Journal Article
%A V. B. Khazanov
%T Computation of Jordan vector semilattices of a multiparameter polynomial matrix
%J Zapiski Nauchnykh Seminarov POMI
%D 2021
%P 172-180
%V 504
%U http://geodesic.mathdoc.fr/item/ZNSL_2021_504_a9/
%G ru
%F ZNSL_2021_504_a9
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/

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

[2] V. B. Khazanov, “Vychislenie zhordanovykh polureshetok vektorov mnogoparametricheskoi polinomialnoi matritsy”, Zap. nauchn. semin. POMI , 496, 2020, 182–194

[3] V. A. Churkin, Zhordanova klassifikatsiya konechnomernykh lineinykh operatorov, Metodicheskie ukazaniya k novomu metodu postroeniya zhordanovoi bazy dlya lineinogo operatora, Izd-vo NGU, Novosibirsk, 1991