Geodesic
Modifications of the $\Delta W$-$q$ factorization method for multiparameter polynomial matrices and their properties
Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XVII, Tome 309 (2004), pp. 154-165 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice du chapitre de livre

Properties of the method of $\Delta W$-$q$ factorization of multiparameter polynomial matrices are analyzed. Modifications of the method, used in solving spectral and other multiparameter problems of algebra, are discussed. 
@article{ZNSL_2004_309_a8,
     author = {V. N. Kublanovskaya and V. B. Khazanov},
     title = {Modifications of the $\Delta W$-$q$ factorization method for multiparameter polynomial matrices and their properties},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {154--165},
     year = {2004},
     volume = {309},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2004_309_a8/}
}
TY  - JOUR
AU  - V. N. Kublanovskaya
AU  - V. B. Khazanov
TI  - Modifications of the $\Delta W$-$q$ factorization method for multiparameter polynomial matrices and their properties
JO  - Zapiski Nauchnykh Seminarov POMI
PY  - 2004
SP  - 154
EP  - 165
VL  - 309
UR  - http://geodesic.mathdoc.fr/item/ZNSL_2004_309_a8/
LA  - ru
ID  - ZNSL_2004_309_a8
ER  - 
%0 Journal Article
%A V. N. Kublanovskaya
%A V. B. Khazanov
%T Modifications of the $\Delta W$-$q$ factorization method for multiparameter polynomial matrices and their properties
%J Zapiski Nauchnykh Seminarov POMI
%D 2004
%P 154-165
%V 309
%U http://geodesic.mathdoc.fr/item/ZNSL_2004_309_a8/
%G ru
%F ZNSL_2004_309_a8
V. N. Kublanovskaya; V. B. Khazanov. Modifications of the $\Delta W$-$q$ factorization method for multiparameter polynomial matrices and their properties. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XVII, Tome 309 (2004), pp. 154-165. http://geodesic.mathdoc.fr/item/ZNSL_2004_309_a8/

[1] T. Ya. Konkova, V. N. Simonova, “Biblioteka MATLAB-funktsii dlya polinomialnykh matrits”, Zap. nauchn. semin. POMI, 219, 1994, 53–80 | MR

[2] V. N. Kublanovskaya, “Nekotoryi podkhod k resheniyu mnogoparametricheskikh zadach”, Zap. nauchn. semin. POMI, 229, 1995, 191–246 | MR | Zbl

[3] V. N. Kublanovskaya, “Metody i algoritmy resheniya spektralnykh zadach dlya polinomialnykh i ratsionalnykh matrits”, Zap. nauchn. semin. POMI, 238, 1997, 7–328 | MR | Zbl

[4] V. N. Kublanovskaya, “Primenenie metoda rangovoi faktorizatsii k analizu spektralnykh kharakteristik mnogoparametricheskoi polinomialnoi matritsy”, Zap. nauchn. semin. POMI, 268, 2000, 115–144 | Zbl

[5] V. N. Kublanovskaya, “K resheniyu mnogoparametricheskikh zadach algebry. 1. Metody vychisleniya nasledstvennykh polinomov i ikh primeneniya”, Zap. nauchn. semin. POMI, 284, 2002, 143–162 | Zbl

[6] V. N. Kublanovskaya, “K resheniyu mnogoparametricheskikh zadach algebry. 2. Metod nepolnoi otnositelnoi faktorizatsii i ego primenenie”, Zap. nauchn. semin. POMI, 296, 2003, 89–107 | Zbl

[7] V. N. Kublanovskaya, “K resheniyu mnogoparametricheskikh zadach algebry. 4. $AB$-algoritm i ego primenenie”, Zap. nauchn. semin. POMI, 309, 2004, 127–143 | Zbl

[8] V. N. Kublanovskaya, “K resheniyu mnogoparametricheskikh zadach algebry. 5. Algoritm $\nabla V$-$q$ faktorizatsii i ego primenenie”, Zap. nauchn. semin. POMI, 309, 2004, 144–153 | MR | Zbl

[9] V. N. Kublanovskaya, V. B. Khazanov, Chislennye metody resheniya parametricheskikh zadach algebry. Chast 1. Odnoparametricheskie zadachi, Nauka, SPb., 2004

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

[11] V. B. Khazanov, “O nekotorom svoistve polinomialnykh bazisov podprostranstv nad polem ratsionalnykh funktsii mnogikh peremennykh”, Zap. nauchn. semin. POMI, 284, 2002, 177–191 | MR | Zbl