Abstract
We propose and justify a numerical method of factorization of polynomials with complex coefficients. We construct and algorithm of factorization of polynomials with real coefficients into real factors in the case of multiple roots.
References
V. G. Kurosh,A Course in Higher Algebra [in Russian], Nauka, Moscow (1975).
F. R. Gantmakher,Theory of Matrices, Chelsea, New York (1990).
R. Horn and C. Johnson,Matrix Analysis, Cambridge University Press, Cambridge (1985).
M. A. Lavrent'ev and B. V. Shabat,Methods of the Theory of Functions of a Complex Variable [in Russian], Fizmatgiz, Moscow (1958).
Additional information
Kiev National Economic University, Kiev. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 51, No. 9, pp. 1281–1286, September, 1999.
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Dzhalladova, I.A. On one method of factorization of polynomials. Ukr Math J 51, 1441–1447 (1999). https://doi.org/10.1007/BF02593010
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DOI: https://doi.org/10.1007/BF02593010