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
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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. 
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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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