STATISTICAL METHOD FOR FINDING THE GLOBAL MINIMUM OF A CONTINUOUS FUNCTION IN THE TRIGONOMETRIC BASIS.
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| Title: | STATISTICAL METHOD FOR FINDING THE GLOBAL MINIMUM OF A CONTINUOUS FUNCTION IN THE TRIGONOMETRIC BASIS. |
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| Authors: | Balyk, V. M.1 balikv@gmail.ru, Sudilina, E. V.1 hitechsun@yandex.ru, Diep, D. N.2 diephbuniv@gmail.com, Tuong, N. M.3 nguen_m@mirea.ru, Chien, V. T.3 vutrichien00@gmail.com |
| Source: | Advances & Applications in Discrete Mathematics. May2026, Vol. 43 Issue 4, p435-449. 15p. |
| Subjects: | Continuous functions, Global optimization, Mathematical optimization, Quantitative research, Fourier series |
| Abstract: | A method for finding the global minimum of continuous functions is proposed. The method is based on representing the optimized parameters as approximations by trigonometric polynomials, which makes it possible to approximate functions of arbitrary complexity. The method imposes no restrictions on the objective function whatsoever in particular, it does not require knowledge of the Lipschitz constant. The method has been tested on numerous model problems with dimensionality up to 5000 variables. [ABSTRACT FROM AUTHOR] |
| Copyright of Advances & Applications in Discrete Mathematics is the property of Pushpa Publishing House 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 |
| FullText | Links: – Type: pdflink Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 195267874 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.17654/0974165826028 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 15 StartPage: 435 Subjects: – SubjectFull: Continuous functions Type: general – SubjectFull: Global optimization Type: general – SubjectFull: Mathematical optimization Type: general – SubjectFull: Quantitative research Type: general – SubjectFull: Fourier series Type: general Titles: – TitleFull: STATISTICAL METHOD FOR FINDING THE GLOBAL MINIMUM OF A CONTINUOUS FUNCTION IN THE TRIGONOMETRIC BASIS. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Balyk, V. M. – PersonEntity: Name: NameFull: Sudilina, E. V. – PersonEntity: Name: NameFull: Diep, D. N. – PersonEntity: Name: NameFull: Tuong, N. M. – PersonEntity: Name: NameFull: Chien, V. T. IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 05 Text: May2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 09741658 Numbering: – Type: volume Value: 43 – Type: issue Value: 4 Titles: – TitleFull: Advances & Applications in Discrete Mathematics Type: main |
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