تقرير
Annealing approach to root-finding
| العنوان: | Annealing approach to root-finding |
|---|---|
| المؤلفون: | Jo, Junghyo, Wagemakers, Alexandre, Periwal, Vipul |
| سنة النشر: | 2024 |
| المجموعة: | Computer Science Mathematics Nonlinear Sciences |
| مصطلحات موضوعية: | Mathematics - Numerical Analysis, Nonlinear Sciences - Chaotic Dynamics |
| الوصف: | The Newton-Raphson method is a fundamental root-finding technique with numerous applications in physics. In this study, we propose a parameterized variant of the Newton-Raphson method, inspired by principles from physics. Through analytical and empirical validation, we demonstrate that this novel approach offers increased robustness and faster convergence during root-finding iterations. Furthermore, we establish connections to the Adomian series method and provide a natural interpretation within a series framework. Remarkably, the introduced parameter, akin to a temperature variable, enables an annealing approach. This advancement sets the stage for a fresh exploration of numerical iterative root-finding methodologies. Comment: 14 pages, 3 figures |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2404.15338 |
| رقم الأكسشن: | edsarx.2404.15338 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |