A. A. Kytmanov, “Analogs of recurrent Newton formulas”, Izv. Vyssh. Uchebn. Zaved. Mat., 2009, no. 10, 40–50; Russian Math. (Iz. VUZ), 53:10 (2009), 34

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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2009, Number 10, Pages 40–50 (Mi ivm3076)

This article is cited in 13 scientific papers (total in 13 papers)

Analogs of recurrent Newton formulas

A. A. Kytmanov

Chair of Applied Mathematics and Information Security, Siberian Federal University, Krasnoyarsk, Russia,

Full-text PDF (200 kB) Citations (13)

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Abstract: In this paper we obtain analogs of the recurrent Newton formulas for systems of nonlinear nonalgebraic equations.

Keywords: recurrent Newton formulas, system of nonlinear equations, methods of elimination of unknowns.

Received: 13.06.2007

English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2009, Volume 53, Issue 10, Pages 34–44
DOI: https://doi.org/10.3103/S1066369X09100053

Bibliographic databases:

UDC: 517.55

Language: Russian

Citation: A. A. Kytmanov, “Analogs of recurrent Newton formulas”, Izv. Vyssh. Uchebn. Zaved. Mat., 2009, no. 10, 40–50; Russian Math. (Iz. VUZ), 53:10 (2009), 34–44

Citation in format AMSBIB

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Linking options:

https://www.mathnet.ru/eng/ivm3076

https://www.mathnet.ru/eng/ivm/y2009/i10/p40

This publication is cited in the following 13 articles:

V. I. Kuzovatov, A. A. Kytmanov, “On the Calculation of the Number of Real Roots of a System of Nonalgebraic Equations Using Computer Algebra”, Program Comput Soft, 51:2 (2025), 83
V. I. Kuzovatov, A. A. Kytmanov, E. K. Myshkina, “On Calculating Partial Sums of Multiple Numerical Series by Methods of Computer Algebra”, Program Comput Soft, 50:2 (2024), 172
V. I. Kuzovatov, A. A. Kytmanov, E. K. Myshkina, “On calculating partial sums of multiple numerical series by methods of Computer Algebra”, Programmirovanie, 2024, no. 2, 74
Evgeniya K. Myshkina, “On a formula for calculating the resultant of two entire functions”, Zhurn. SFU. Ser. Matem. i fiz., 15:1 (2022), 17–22
Kuzovatov I V., Kytmanov A.A., Myshkina E.K., “An Algorithm For Constructing the Resultant of Two Entire Functions”, Program. Comput. Softw., 47:2 (2021), 139–143
Kuzovatov V.I. Kytmanov A.A. Kuzovatova O.I., “Algorithm For Constructing An Analogue of the Binet Formula”, Program. Comput. Softw., 46:2 (2020), 105–109
Kytmanov A.A., Kytmanov A.M., Myshkina E.K., “Residue Integrals and Waring'S Formulas For Algebraic Or Even Transcendental Systems”, Complex Var. Elliptic Equ., 64:1 (2019), 93–111
A. A. Kytmanov, A. M. Kytmanov, E. K. Myshkina, “On computing residue integrals for a class of nonlinear transcendental systems”, ACM Commun. Comput. Algebra, 52:4 (2019), 133
Kuzovatov V.I., Kytmanov A.A., “Algorithm For Constructing An Analog of Plan'S Formula”, Program. Comput. Softw., 44:2 (2018), 100–104
Kytmanov A.A., Kytmanov A.M., Myshkina E.K., “Finding Residue Integrals For Systems of Non-Algebraic Equations in C-N”, J. Symbolic Comput., 66 (2015), 98–110
A. A. Kytmanov, A. M. Kytmanov, E. K. Myshkina, “On finding residue integrals for a class of systems of non-algebraic equations”, ACM Commun. Comput. Algebra, 49:3 (2015), 77
Evgeniya K. Myshkina, “Some examples of finding the sums of multiple series”, Zhurn. SFU. Ser. Matem. i fiz., 7:4 (2014), 515–529
Kytmanov A.A., “An algorithm for calculating power sums of roots for a class of systems of nonlinear equations”, Program. Comput. Softw., 36:2 (2010), 103–110

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Известия высших учебных заведений. Математика

Russian Mathematics (Izvestiya VUZ. Matematika)

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