Abstract
In this paper we obtain analogs of recurrent Newton formulas for systems of nonlinear nonalgebraic equations.
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A. M. Kytmanov and Z.E. Potapova, “Formulae for Power Sums of Roots of Systems of Meromorphic Functions,” Izv. Vyssh. Uchebn. Zaved. Mat., No. 8, 39–48 (2005) [Russian Mathematics (Iz. VUZ) 49 (8), 36–45 (2005)].
L. A. Aizenberg and A. P. Yuzhakov, Integral Representations and Residues in Multidimensional Complex Analysis (Nauka, Novosibirsk, 1979) [in Russian].
A. K. Tsikh, Multidimensional Residues and Their Applications (Nauka, Novosibirsk, 1989) [in Russian].
V. I. Bykov, A. M. Kytmanov, and M. Z. Lazman, Elimination Methods in Computer Polynomial Algebra (Nauka, Novosibirsk, 1991) [in Russian].
V. I. Bykov, A. M. Kytmanov, and T. A. Osetrova, “Computer Algebra of Polynomials. A Modified Elimination Method,” Dokl. Phys. 350(4), 443–445 (1996).
V. I. Bykov, A. M. Kytmanov, T. A. Osetrova, and Z. E. Potapova, “Application of Systems of Computer Algebra to a Modified Method of Elimination of Unknowns,” Dokl. Phys. 370(4), 439–442 (2000).
L. A. Aizenberg and A. M. Kytmanov, “Multidimensional Analogues of Newton’s formulas for Systems of Nonlinear Algebraic Equations and Some of Their Applications,” Sib. Matem. Zhurn. 22(2), 19–30 (1981).
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Original Russian Text © A.A. Kytmanov, 2009, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2009, No. 10, pp. 40–50.
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Kytmanov, A.A. Analogs of recurrent Newton formulas. Russ Math. 53, 34–44 (2009). https://doi.org/10.3103/S1066369X09100053
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DOI: https://doi.org/10.3103/S1066369X09100053