To solving multiparameter problems of algebra. 8. The <Emphasis Type="Italic">RP-q</Emphasis> method and its applications |
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Authors: | V N Kublanovskaya |
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Institution: | (1) St.Petersburg Department of the Steklov Mathematical Institute, St.Petersburg, Russia |
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Abstract: | A new method (the RP-q method) for factorizing scalar polynomials in q variables and q-parameter polynomial matrices (q ≥
1) of full rank is suggested. Applications of the algorithm to solving systems of nonlinear algebraic equations and some spectral
problems for a q-parameter polynomial matrix F (such as separation of the eigenspectrum and mixed spectrum of F, computation
of bases with prescribed spectral properties of the null-space of polynomial solutions of F, and computation of the hereditary
polynomials of F) are considered. Bibliography: 10 titles.
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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 334, 2006, pp. 149–164. |
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Keywords: | |
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