Geodesic
To solving multiparameter problems of algebra. 3. Cylindrical manifolds of the regular spectrum of a matrix
Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XVI, Tome 296 (2003), pp. 108-121 
V. N. Kublanovskaya. To solving multiparameter problems of algebra. 3. Cylindrical manifolds of the regular spectrum of a matrix. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XVI, Tome 296 (2003), pp. 108-121. http://geodesic.mathdoc.fr/item/ZNSL_2003_296_a6/
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     author = {V. N. Kublanovskaya},
     title = {To solving multiparameter problems of algebra. {3.~Cylindrical} manifolds of the regular spectrum of a~matrix},
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

Methods for computing polynomials (complete polynomials) whose zeros form in the space $\mathbb C^q$ cylindrical manofolds of the regular spectrum of a $q$-parameter polynomial matrix are considered. Based on the method of partial relative factorization of matrices, new methods for computing cylindrical manifolds are suggested. The $\Psi W$ and $\Psi V$ methods, previously proposed for computing complete polynomials of $q$-parameter polynomial matrices whose regular spectrum is independent of one of the parameters, are extended to a wider class of matrices.

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

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

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

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