SYMBOLIC ALGORITHM FOR FINDING ZEROS OF A SYSTEM OF 
 OLOMORPHIC FUNCTIONS

Kuzovatov, V. I.; Kytmanov, A. A.; MYSHKINA, E. K.

doi:10.31857/S0132347423020139

PII

10.31857/S0132347423020139-1

DOI

10.31857/S0132347423020139

Publication type

Status

Published

Authors

V. I. Kuzovatov

Affiliation: Siberian Federal University

A. A. Kytmanov

Affiliation:
MIREA – Russian Technological University
Laboratory of Artificial Intelligence, Neurotechnology, and Business Analytic

E. K. MYSHKINA

Affiliation: Institute of Computational Modeling, Siberian Branch, Russian Academy of Sciences

Volume/ Edition

Volume / Issue number 2

Pages

31-35

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.

Keywords

Date of publication

17.09.2025

Year of publication

2025

Number of purchasers

Views

References

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2. Айзенберг Л.А., Южаков А.П. Интегральные представления и вычеты в многомерном комплексном анализе. Новосибирск: Наука, 1979.
3. Шабат Б.В. Введение в комплексный анализ. Функции нескольких переменных. Ч. 2. СПб.: Лань, 2004.

GOST	Kuzovatov V., Kytmanov A., MYSHKINA E. SYMBOLIC ALGORITHM FOR FINDING ZEROS OF A SYSTEM OF OLOMORPHIC FUNCTIONS // Programming and Computer Software. – 2023. – Issue number 2 C. 31-35 . URL: https://progrras.ru/10-31857-s0132347423020139-1/?version_id=114609. DOI: 10.31857/S0132347423020139
MLA	Kuzovatov, V. I, Kytmanov, A. A, MYSHKINA, E. K "SYMBOLIC ALGORITHM FOR FINDING ZEROS OF A SYSTEM OF OLOMORPHIC FUNCTIONS." Programming and Computer Software. 2 (2023).:31-35. DOI: 10.31857/S0132347423020139
APA	Kuzovatov V., Kytmanov A., MYSHKINA E. (2023). SYMBOLIC ALGORITHM FOR FINDING ZEROS OF A SYSTEM OF OLOMORPHIC FUNCTIONS. Programming and Computer Software. no. 2, pp.31-35 DOI: 10.31857/S0132347423020139

RAS MathematicsПрограммирование Programming and Computer Software

SYMBOLIC ALGORITHM FOR FINDING ZEROS OF A SYSTEM OF OLOMORPHIC FUNCTIONS

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References

Индексирование

RAS MathematicsПрограммирование Programming and Computer Software

SYMBOLIC ALGORITHM FOR FINDING ZEROS OF A SYSTEM OF OLOMORPHIC FUNCTIONS

You can

References

Индексирование

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