Almost power sum systems
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- by V. I. Korobov and A. N. Bugaevskaya PDF
- Math. Comp. 85 (2016), 717-736 Request permission
Abstract:
We consider the system of nonlinear almost polynomial equations without power gaps or with even power gaps. The method is to reduce the given system to finding the roots of univariate functions, some of which are polynomials. For the system with even power gaps the obtained equalities are the analogs of Newton’s identities. These equalities express the connection between elementary symmetric functions and odd power sums.References
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Additional Information
- V. I. Korobov
- Affiliation: V.N. Karazin Kharkov National University, 4 Svoboda sq., 61022 Kharkov, Ukraine
- Address at time of publication: Institute of Mathematics, Szczecin University, Wielkopolska str. 15, 70–451 Szczecin, Poland
- MR Author ID: 215695
- Email: korobow@univ.szczecin.pl
- A. N. Bugaevskaya
- Affiliation: Belgorod State University, 85 Pobeda str., 308015 Belgorod, Russia
- Email: bugaevskaya@bsu.edu.ru
- Received by editor(s): July 10, 2013
- Received by editor(s) in revised form: February 4, 2014, July 11, 2014, and August 27, 2014
- Published electronically: June 26, 2015
- © Copyright 2015 American Mathematical Society
- Journal: Math. Comp. 85 (2016), 717-736
- MSC (2010): Primary 65H10, 65D32; Secondary 30E05, 49N05
- DOI: https://doi.org/10.1090/mcom/2994
- MathSciNet review: 3434878