@Article{IJNAM-21-2,
author = {Yu, Xiaohui and Wu, Qingbiao},
title = {Modified Newton-NDSS Method for Solving Nonlinear System with Complex Symmetric Jacobian Matrices},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2024},
volume = {21},
number = {2},
pages = {295--314},
abstract = {<p style="text-align: justify;">An efficient iteration method is provided in this paper for solving a class of nonlinear systems whose Jacobian matrices are complex and symmetric. The modified Newton-NDSS
method is developed and applied to the class of nonlinear systems by adopting the modified
Newton method as the outer solver and a new double-step splitting (NDSS) iteration scheme as
the inner solver. Additionally, we theoretically analyze the local convergent properties of the new
method under the weaker Hölder conditions. Lastly, the new method is compared numerically with
some existing ones and the numerical experiments solving the nonlinear equations demonstrate
the superiority of the Newton-NDSS method.</p>},
issn = {2617-8710},
doi = {https://doi.org/10.4208/ijnam2024-1012},
url = {https://global-sci.com/article/91059/modified-newton-ndss-method-for-solving-nonlinear-system-with-complex-symmetric-jacobian-matrices}
}