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An algorithm for calculating power sums of roots for a class of systems of nonlinear equations

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Abstract

An algorithm for calculating power sums of roots for a class of systems of nonlinear non-algebraic equations is presented. The algorithm is based on multidimensional recurrent formulas obtained earlier by the author.

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References

  1. Kytmanov, A.M. and Potapova, Z.E., Formulas for Finding Power Sums of Roots for Systems of Meromorphic Functions, Izv. Vyssh. Uchebn. Zaved., 2005, vol. 519, no. 8, pp. 39–48.

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  2. Aizenberg, L.A. and Yuzhakov, A.P., Integral Representations and Residues in Multidimensional Complex Analysis, Novosibirsk: Nauka, 1979.

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Authors and Affiliations

  1. Siberian Federal University, pr. Svobodnyi 79, Krasnoyarsk, 660041, Russia

    A. A. Kytmanov

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  1. A. A. Kytmanov
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Correspondence to A. A. Kytmanov.

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Original Russian Text © A.A. Kytmanov, 2010, published in Programmirovanie, 2010, Vol. 36, No. 2.

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Kytmanov, A.A. An algorithm for calculating power sums of roots for a class of systems of nonlinear equations. Program Comput Soft 36, 103–110 (2010). https://doi.org/10.1134/S0361768810020088

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  • DOI: https://doi.org/10.1134/S0361768810020088

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