Застосування мішаної розрядності для розв’язування систем нелінійних рівнянь квазіньютонівськими методами
The paper deals with Quasi-Newtonian Methods for solving large-orders nonlinear equation systems. The paper proposes Dennis-More algorithm of the Quasi-Newtonian method with the usage of mixed precision arithmetic in calculation for solving mentioned nonlinear equation&...
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| Datum: | 2023 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Ukrainisch |
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Інститут прикладних проблем механіки і математики ім. Я. С. Підстригача НАН України
2023
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| Online Zugang: | https://www.fmmit.lviv.ua/index.php/fmmit/article/view/300 |
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| Назва журналу: | Physico-mathematical modeling and informational technologies |
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Physico-mathematical modeling and informational technologies| Zusammenfassung: | The paper deals with Quasi-Newtonian Methods for solving large-orders nonlinear equation systems. The paper proposes Dennis-More algorithm of the Quasi-Newtonian method with the usage of mixed precision arithmetic in calculation for solving mentioned nonlinear equation systems. Mixed precision usage allows significantly reduce the time of solving mentioned nonlinear equation systems for the same number of iterations without losing the accuracy of the obtained solution. The obtained results of the numerical experiments for the solving nonlinear equation systems of various orders using mixed precision indicate a significant reduction in the time of solving the specified systems in comparison with calculations on double precision. |
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