Библиографическое описание:Symbolic Algorithm for Finding Zeros of a System of Holomorphic Functions : научное издание / V. I. Kuzovatov, A. A. Kytmanov, E. K. Myshkina. - Текст : непосредственный // Programming and Computer Software. - 2023. - Т.49, №2. - P. 86-90. - This work was carried out with the support of the following institutions: the first author was supported by the Russian Science Foundation, the Government of the Krasnoyarsk Krai, and the Krasnoyarsk Regional Science Foundation, grant no. 22-21-20028 (development of test examples and software testing of the algorithm); the second author was supported by the Russian Science Foundation, grant no. 18-71-10007-P (development and software implementation of the algorithm); and the third author was supported by the Russian Foundation for Basic Research, grant no. 19-31-60012 (formulation of the requirement specifications for the algorithm and computation of test examples). - ISSN 0361-7688. - ISSN 1608-3261, DOI 10.1134/s0361768823020123.
Аннотация: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.
Держатель оригинала документа:Institute of Computational Modeling, Siberian Branch, Russian Academy of Sciences, Laboratory of Artificial Intelligence, Neurotechnology, and Business Analytics, Plekhanov Russian University of Economics, MIREA – Russian Technological University, Siberian Federal University
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