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SYMBOLIC ALGORITHM FOR FINDING ZEROS OF A SYSTEM OF OLOMORPHIC FUNCTIONS
- Authors: KUZOVATOV V.I.1, KYTMANOV A.A.2,3, MYSHKINA E.K.4
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Affiliations:
- Siberian Federal University
- MIREA – Russian Technological University
- Laboratory of Artificial Intelligence, Neurotechnology, and Business Analytic
- Institute of Computational Modeling, Siberian Branch, Russian Academy of Sciences
- Issue: No 2 (2023)
- Pages: 31-35
- Section: КОМПЬЮТЕРНАЯ АЛГЕБРА
- URL: https://rjeid.com/0132-3474/article/view/675754
- DOI: https://doi.org/10.31857/S0132347423020139
- EDN: https://elibrary.ru/MGDMHW
- ID: 675754
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Abstract
Based on the Bochner–Martinelli integral representation, an algorithm for determining the number of zeros of a system of holomorphic functions is developed. We search for zeros of the system in a polycube. The use of computer algebra methods in this problem is due to the computational complexity of the developed algorithms and final results. The algorithm is implemented in Maple, which makes it possible to significantly facilitate the necessary computations.
About the authors
V. I. KUZOVATOV
Siberian Federal University
Email: kuzovatov@yandex.ru
Krasnoyarsk, Russia
A. A. KYTMANOV
MIREA – Russian Technological University; Laboratory of Artificial Intelligence, Neurotechnology, and Business Analytic
Email: aakytm@gmail.com
Moscow, Russia; Moscow, Russia
E. K. MYSHKINA
Institute of Computational Modeling, Siberian Branch, Russian Academy of Sciences
Author for correspondence.
Email: elfifenok@mail.ru
Krasnoyarsk, Russia
References
- Ортега Дж., Рейнболдт В. Итерационные методы решения нелинейных систем уравнений со многими неизвестными. М.: Мир, 1975.
- Айзенберг Л.А., Южаков А.П. Интегральные представления и вычеты в многомерном комплексном анализе. Новосибирск: Наука, 1979.
- Шабат Б.В. Введение в комплексный анализ. Функции нескольких переменных. Ч. 2. СПб.: Лань, 2004.
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