Annealing approach to root-finding
<|reference_start|>Annealing approach to root-finding: 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.<|reference_end|>
@article{jo2024annealing,
    title={Annealing approach to root-finding},
    author={Junghyo Jo and Alexandre Wagemakers and Vipul Periwal},
    journal={arXiv preprint arXiv:2404.15338},
    year={2024},
    archivePrefix={arXiv},
    eprint={2404.15338},
    primaryClass={math.NA cs.NA nlin.CD}
}