Numerical continued fraction interpolation
UDC 517.524 We show that highly accurate approximations can often be obtained by constructing Thiele interpolating continued fractions by a Greedy selection of the interpolation points together with an early termination condition. The obtained results are comparable with the outcome of...
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| Datum: | 2024 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Institute of Mathematics, NAS of Ukraine
2024
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/7349 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512656250634240 |
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| author | Celis, Oliver Salazar Celis, Oliver Salazar |
| author_facet | Celis, Oliver Salazar Celis, Oliver Salazar |
| author_sort | Celis, Oliver Salazar |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2024-06-19T00:35:25Z |
| description | UDC 517.524
We show that highly accurate approximations can often be obtained by constructing Thiele interpolating continued fractions by a Greedy selection of the interpolation points together with an early termination condition. The obtained results are comparable with the outcome of state-of-the-art rational interpolation techniques based on the barycentric form. |
| doi_str_mv | 10.3842/umzh.v74i4.7349 |
| first_indexed | 2026-03-24T03:32:15Z |
| format | Article |
| fulltext | |
| id | umjimathkievua-article-7349 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-03-24T03:32:15Z |
| publishDate | 2024 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
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| spelling | umjimathkievua-article-73492024-06-19T00:35:25Z Numerical continued fraction interpolation Numerical continued fraction interpolation Celis, Oliver Salazar Celis, Oliver Salazar Thiele continued fractions, univariate rational interpolation, best approximations rational functions; continued fraction; interpolation; best approximation UDC 517.524 We show that highly accurate approximations can often be obtained by constructing Thiele interpolating continued fractions by a Greedy selection of the interpolation points together with an early termination condition. The obtained results are comparable with the outcome of state-of-the-art rational interpolation techniques based on the barycentric form. УДК 517.524 Числова інтерполяція  ланцюгового дробу Показано, що високоточні наближення часто можна отримати, побудувавши інтерполяційні неперервні дроби Тіле за допомогою Грідівського вибору точок інтерполяції, застосованого разом з умовою  дострокового завершення. Отримані результати можна порівняти з результатами сучасної техніки раціональної інтерполяції на основі барицентричної форми. Institute of Mathematics, NAS of Ukraine 2024-04-26 Article Article https://umj.imath.kiev.ua/index.php/umj/article/view/7349 10.3842/umzh.v74i4.7349 Ukrains’kyi Matematychnyi Zhurnal; Vol. 76 No. 4 (2024); 568 - 580 Український математичний журнал; Том 76 № 4 (2024); 568 - 580 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/7349/9917 Copyright (c) 2024 Oliver Salazar Celis |
| spellingShingle | Celis, Oliver Salazar Celis, Oliver Salazar Numerical continued fraction interpolation |
| title | Numerical continued fraction interpolation |
| title_alt | Numerical continued fraction interpolation |
| title_full | Numerical continued fraction interpolation |
| title_fullStr | Numerical continued fraction interpolation |
| title_full_unstemmed | Numerical continued fraction interpolation |
| title_short | Numerical continued fraction interpolation |
| title_sort | numerical continued fraction interpolation |
| topic_facet | Thiele continued fractions univariate rational interpolation best approximations rational functions continued fraction interpolation best approximation |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/7349 |
| work_keys_str_mv | AT celisoliversalazar numericalcontinuedfractioninterpolation AT celisoliversalazar numericalcontinuedfractioninterpolation |