To solving multiparameter problems of algebra 3. Cylindrical manifolds of the regular spectrum of a matrix |
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Authors: | V N Kublanovskaya |
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Institution: | (1) St. Petersburg Department of the Steklov Mathematical Institute, St. Petersburg |
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Abstract: | Methods for computing polynomials (complete polynomials) whose zeros form cylindrical manifolds of the regular spectrum of a q-parameter polynomial matrix in the space q are considered. Based on the method of partial relative factorization of matrices, new methods for computing cylindrical manifolds are suggested. The W and 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. Bibliography: 4 titles._______Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 296, 2003, pp. 108–121. |
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