On some spectral characteristics of multiparameter polynomial matrices
Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XVII, Tome 309 (2004), pp. 166-173 Cet article a éte moissonné depuis la source Math-Net.Ru

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The definitions of some spectral characteristics of polynomial matrices (such as the analytical (algebraic) and geometric multiplicities of a point of the spectrum, deflating subspaces, matrix solvents, and block eigenvalues and eigenvectors) are extended to the multiparameter case, and their properties are analyzed.
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V. B. Khazanov. On some spectral characteristics of multiparameter polynomial matrices. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XVII, Tome 309 (2004), pp. 166-173. http://geodesic.mathdoc.fr/item/ZNSL_2004_309_a9/

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

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

[3] V. B. Khazanov, “O sobstvennykh porozhdayuschikh vektorakh mnogoparametricheskoi polinomialnoi matritsy”, Zap. nauchn. semin. POMI, 248, 1998, 165–186 | MR | Zbl

[4] 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