Level set of the asymptotic rate of convergence of the method of steepest descent
UDC 519.61 The asymptotic rate of convergence of the steepest descent method is considered as a function of the initial approximation. In this work, we study the set of the level of this speed, i.e. the set of initial approximations for which it takes a given value. A method for constructing this se...
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| Datum: | 2022 |
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| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | Ukrainisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
2022
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/6885 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
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Ukrains’kyi Matematychnyi Zhurnal| Zusammenfassung: | UDC 519.61
The asymptotic rate of convergence of the steepest descent method is considered as a function of the initial approximation. In this work, we study the set of the level of this speed, i.e. the set of initial approximations for which it takes a given value. A method for constructing this set is proposed and its connected components are found. |
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| DOI: | 10.37863/umzh.v74i2.6885 |