Geodesic
To solving spectral problems for multiparameter polynomial matrices
Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XIX, Tome 334 (2006), pp. 212-231 Cet article a éte moissonné depuis la source Math-Net.Ru

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An approach to solving spectral problems for multiparameter polynomial matrices based on passing to accompanying pencils of matrices is described. Also reduction of spectral problems for multiparameter pencils of complex matrices to the corresponding real problems is considered. 
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V. B. Khazanov. To solving spectral problems for multiparameter polynomial matrices. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XIX, Tome 334 (2006), pp. 212-231. http://geodesic.mathdoc.fr/item/ZNSL_2006_334_a14/

[1] V. B. Khazanov, “Metody resheniya mnogoparametricheskikh spektralnykh zadach”, Algorithms 89, Proc. 10th Simp. Algorithms, Bratislava, 1989, 46–48

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

[3] V. B. Khazanov, “Metody resheniya spektralnykh zadav dlya mnogoparametricheskikh puchkov matrits”, Zap. nauchn. semin. POMI, 296, 2003, 139–168 | MR | Zbl

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

[5] E. K. Blum, A. F. Chang, “A numerical method for the solution of the double eigenvalue problem”, J. Inst. Math. Appl., 22:1 (1978), 29–42 | DOI | MR | Zbl

[6] E. K. Blum, A. R. Curtis, “A convergent gradient method for matrix eigenvalue problems”, Numer. Math., 31:3 (1978), 247–263 | DOI | MR | Zbl