The external aggregation Newton's method for solving nonlinear equations and applications
Different modified Newton's methods are widely used in modern computational engineering science, applied mechanics, economics, optimization problems and other disciplines. On the other hand aggregation of information takes a significant place in many knowledge-based systems, where aggregation o...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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University of Priština - Faculty of Natural Science and Mathematics, Kosovska Mitrovica
2020-01-01
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| Series: | The University Thought: Publication in Natural Sciences |
| Subjects: | |
| Online Access: | https://scindeks-clanci.ceon.rs/data/pdf/1450-7226/2020/1450-72262001044P.pdf |
| _version_ | 1831552174211989504 |
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| author | Paunović Marija Ćebić Dejan Ralević Nebojša |
| author_facet | Paunović Marija Ćebić Dejan Ralević Nebojša |
| author_sort | Paunović Marija |
| collection | DOAJ |
| description | Different modified Newton's methods are widely used in modern computational engineering science, applied mechanics, economics, optimization problems and other disciplines. On the other hand aggregation of information takes a significant place in many knowledge-based systems, where aggregation of data or values is needed. In this paper we theoretically analysed a new modification of Newton's method based on aggregation function applied on finding multiple roots of nonlinear equations, and numerically verified theoretical results on the examples with simple and multiple roots. Numerical analysis of the proposed approach with obtained results and the related discussion are presented on examples in practice. |
| first_indexed | 2024-12-17T03:22:19Z |
| format | Article |
| id | doaj.art-67951b591379483da3143e042dfc6b8a |
| institution | Directory Open Access Journal |
| issn | 1450-7226 2560-3094 |
| language | English |
| last_indexed | 2024-12-17T03:22:19Z |
| publishDate | 2020-01-01 |
| publisher | University of Priština - Faculty of Natural Science and Mathematics, Kosovska Mitrovica |
| record_format | Article |
| series | The University Thought: Publication in Natural Sciences |
| spelling | doaj.art-67951b591379483da3143e042dfc6b8a2022-12-21T22:05:29ZengUniversity of Priština - Faculty of Natural Science and Mathematics, Kosovska MitrovicaThe University Thought: Publication in Natural Sciences1450-72262560-30942020-01-0110144501450-72262001044PThe external aggregation Newton's method for solving nonlinear equations and applicationsPaunović Marija0Ćebić Dejan1Ralević Nebojša2University of Kragujevac, Faculty of Hotel Management and Tourism in Vrnjačka Banja, Vrnjačka Banja, SerbiaUniversity of Belgrade, Faculty of Mining and Geology, Belgrade, SerbiaUniversity of Novi Sad, Faculty of Technical Sciences, Novi Sad, SerbiaDifferent modified Newton's methods are widely used in modern computational engineering science, applied mechanics, economics, optimization problems and other disciplines. On the other hand aggregation of information takes a significant place in many knowledge-based systems, where aggregation of data or values is needed. In this paper we theoretically analysed a new modification of Newton's method based on aggregation function applied on finding multiple roots of nonlinear equations, and numerically verified theoretical results on the examples with simple and multiple roots. Numerical analysis of the proposed approach with obtained results and the related discussion are presented on examples in practice.https://scindeks-clanci.ceon.rs/data/pdf/1450-7226/2020/1450-72262001044P.pdfnewton's methodaggregation functionorder of convergence |
| spellingShingle | Paunović Marija Ćebić Dejan Ralević Nebojša The external aggregation Newton's method for solving nonlinear equations and applications The University Thought: Publication in Natural Sciences newton's method aggregation function order of convergence |
| title | The external aggregation Newton's method for solving nonlinear equations and applications |
| title_full | The external aggregation Newton's method for solving nonlinear equations and applications |
| title_fullStr | The external aggregation Newton's method for solving nonlinear equations and applications |
| title_full_unstemmed | The external aggregation Newton's method for solving nonlinear equations and applications |
| title_short | The external aggregation Newton's method for solving nonlinear equations and applications |
| title_sort | external aggregation newton s method for solving nonlinear equations and applications |
| topic | newton's method aggregation function order of convergence |
| url | https://scindeks-clanci.ceon.rs/data/pdf/1450-7226/2020/1450-72262001044P.pdf |
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