Email this article LINEARLY-QUADRATIC HOMEOMORPHISMS
- Authors: Zhukovskiy S.E.1
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Affiliations:
- RUDN University
- Issue: Vol 22, No 6 (2017)
- Pages: 1293-1297
- Section: Articles
- URL: https://journals.rcsi.science/2686-9667/article/view/362882
- DOI: https://doi.org/10.20310/1810-0198-2017-22-6-1293-1297
- ID: 362882
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Abstract
Linearly-quadratic mappings of finite-dimensional linear spaces over reals are considered. A criterion for a linearly-quadratic mapping to be a homeomorphism is obtained.
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About the authors
Sergey Evgenyevich Zhukovskiy
RUDN University
Email: s-e-zhuk@yandex.ru
Candidate of Physics and Mathematics, Associate Professor of the Nonlinear Analysis and Optimization Department 6 Miklukho-Maklay St., Moscow, Russian Federation, 117198
References
Ортега Дж., Рейнболдт В. Итерационные методы решения нелинейных систем уравнений со многими неизвестными. М.: Мир, 1975. Bialynicki-Birula A., Rosenlicht M. Injective morphisms of real algebraic varaities // Proc. AMS. 1962. V. 13. P. 200-203. Колмогоров А.Н., Фомин С.В. Элементы теории функций и функционального анализа. М.: Наука, 1976. Гуревич В., Волмэн Г. Теория размерности. М.: Изд-во иностр. лит., 1948.
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