To solving multiparameter problems of algebra. 11. Computing the regular spectrum of a polynomial matrix |
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Authors: | V N Kublanovskaya |
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Institution: | (1) St.Peterburg Department of the Steklov Mathematical Institute, St.Petersburg, Russia |
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Abstract: | For a general multiparameter polynomial matrix
, solution of the equation
at points of the finite spectrum of
is considered. Points of the spectrum of
are classified in terms of solutions of the determinantal system of nonlinear algebraic equations and also in terms of zeros
of certain scalar polynomials (in particular, the characteristic polynomial of the matrix). Algorithms for computing points
of the finite regular spectrum of the matrix and the corresponding vectors are presented. Bibliography: 7 titles.
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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 346, 2007, pp. 131–148. |
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Keywords: | |
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