Symbolic Algorithm for Finding Zeros of a System of Holomorphic Functions

被引：0

作者：

Kuzovatov, V. I. ^{[1
]}

Kytmanov, A. A. ^{[2
,3
]}

Myshkina, E. K. ^{[4
]}

机构：

[1] Siberian Fed Univ, pr Svobodnyi 79, Krasnoyarsk 660041, Russia

[2] MIREA Russian Technol Univ, pr Vernadskogo 78, Moscow 119454, Russia

[3] Plekhanov Russian Univ Econ, Lab Artificial Intelligence Neurotechnol & Busines, Stremyannyi per 36, Moscow 117997, Russia

[4] Russian Acad Sci, Inst Computat Modeling, Siberian Branch, Akademgorodok 50-44, Krasnoyarsk 660036, Russia

来源：

PROGRAMMING AND COMPUTER SOFTWARE | 2023年 / 49卷 / 02期

基金：

俄罗斯科学基金会; 俄罗斯基础研究基金会;

关键词：

Computer algebra methods - Holomorphic functions - Integral representation - Number of zeros - Polycube - Symbolic algorithms;

D O I：

10.1134/S0361768823020123

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

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.

引用

页码：86 / 90

页数：5

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