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Exact formula for the solution of degenerate system of quadratic equations
- Authors: Evtushenko Y.G.1,2, Tret'yakov A.A.1,3
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Affiliations:
- Federal Research Center “Computer Science and Control” of RAS
- Moscow Institute of Physics and Technology (National Research University)
- Siedlce University
- Issue: Vol 64, No 3 (2024)
- Pages: 387-391
- Section: General numerical methods
- URL: https://vietnamjournal.ru/0044-4669/article/view/665087
- DOI: https://doi.org/10.31857/S0044466924030012
- EDN: https://elibrary.ru/XHLYYB
- ID: 665087
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Abstract
Abstract. The paper devoted to the solution of nonlinear system of equations F(x) = 0, where the mapping F is quadratic, acting from . We consider the case, when the derivative F' is degenerate at the solution point. Based on the constructions of the p-regularity theory was proposed a 2-factor method for solving singular system of equations, which converges at a quadratic rate. Moreover, an exact formula is obtained for solving this quadratic system of equations in the 2-regular case of the mapping F(x).
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About the authors
Yu. G. Evtushenko
Federal Research Center “Computer Science and Control” of RAS; Moscow Institute of Physics and Technology (National Research University)
Author for correspondence.
Email: yuri-evtushenko@yandex.ru
Russian Federation, Vavilova str., 44, Moscow, 119333; Institutskiy per, 1, Dolgoprudnyi, Moscow Region, 141701
A. A. Tret'yakov
Federal Research Center “Computer Science and Control” of RAS; Siedlce University
Email: prof.tretyakov@gmail.com
Faculty of Exact and Natural Sciences
Russian Federation, Vavilova str., 44, Moscow, 119333; Siedlce, 08-110 PolandReferences
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