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On the Calculation of the Number of Real Roots of a System of Nonalgebraic Equations Using Computer Algebra.

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Title: On the Calculation of the Number of Real Roots of a System of Nonalgebraic Equations Using Computer Algebra.
Authors: Kuzovatov, V. I.1 (AUTHOR) kuzovatov@yandex.ru, Kytmanov, A. A.1,2 (AUTHOR) aakytm@gmail.com
Source: Programming & Computer Software. Apr2025, Vol. 51 Issue 2, p83-87. 5p.
Subjects: Functions of several complex variables, Symbolic computation, Chemical equations, Chemical kinetics, Integral functions
Abstract: Systems of nonalgebraic equations containing entire functions of several complex variables are considered. The number of real zeros of such systems is studied using computer algebra methods. For this purpose, a computer implementation of Newton's recurrences and formulas for the resultant of the functions under study in Maple is proposed. The relevance of this problem is due to the fact that in applied problems, e.g., in the equations of chemical kinetics, it is necessary to determine the number of stationary states of the system. [ABSTRACT FROM AUTHOR]
Copyright of Programming & Computer Software is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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DbLabel: Engineering Source
An: 184008275
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PubType: Academic Journal
PubTypeId: academicJournal
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  Data: Systems of nonalgebraic equations containing entire functions of several complex variables are considered. The number of real zeros of such systems is studied using computer algebra methods. For this purpose, a computer implementation of Newton's recurrences and formulas for the resultant of the functions under study in Maple is proposed. The relevance of this problem is due to the fact that in applied problems, e.g., in the equations of chemical kinetics, it is necessary to determine the number of stationary states of the system. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of Programming & Computer Software is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1134/S0361768824700877
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      – Code: eng
        Text: English
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      – SubjectFull: Functions of several complex variables
        Type: general
      – SubjectFull: Symbolic computation
        Type: general
      – SubjectFull: Chemical equations
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      – SubjectFull: Chemical kinetics
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      – SubjectFull: Integral functions
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      – TitleFull: On the Calculation of the Number of Real Roots of a System of Nonalgebraic Equations Using Computer Algebra.
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              Text: Apr2025
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              Y: 2025
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