Enviar artigo por via de e-mail Exact formula for the solution of degenerate system of quadratic equations
- Autores: Evtushenko Y.G.1,2, Tret'yakov A.A.1,3
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Afiliações:
- Federal Research Center “Computer Science and Control” of RAS
- Moscow Institute of Physics and Technology (National Research University)
- Siedlce University
- Edição: Volume 64, Nº 3 (2024)
- Páginas: 387-391
- Seção: General numerical methods
- URL: https://ruspoj.com/0044-4669/article/view/665087
- DOI: https://doi.org/10.31857/S0044466924030012
- EDN: https://elibrary.ru/XHLYYB
- ID: 665087
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Resumo
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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Sobre autores
Yu. Evtushenko
Federal Research Center “Computer Science and Control” of RAS; Moscow Institute of Physics and Technology (National Research University)
Autor responsável pela correspondência
Email: yuri-evtushenko@yandex.ru
Rússia, Vavilova str., 44, Moscow, 119333; Institutskiy per, 1, Dolgoprudnyi, Moscow Region, 141701
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
Rússia, Vavilova str., 44, Moscow, 119333; Siedlce, 08-110 PolandBibliografia
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- Tret’yakov A., Marsden J.E. Factor analysis of nonlinear mappings: p-regularity theory // Communications on Pure & Applied Analysis. 2003. Vol. 2. No. 4. P. 425–445.
- Facchinei F., Fisher A., Kanzow C. On the Accurate Identification of Active Constraints // SIAM J. Optim. 1998. No. 9. P. 14–32.
- Измайлов А.Ф., Третьяков А.А. 2-регулярные решения нелинейных задач. Теория и численные методы. М.: Физматлит, 1999.
- Брежнева О.А., Третьяков А.А. Новые методы решения существенно нелинейных задач. М.: ВЦ РАН, 2000.
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