@Article{JCM-21-625,
author = {Fan , Jin-Yan},
title = {A Modified Levenberg-Marquardt Algorithm for Singular System of Nonlinear Equations},
journal = {Journal of Computational Mathematics},
year = {2003},
volume = {21},
number = {5},
pages = {625--636},
abstract = {<p style="text-align: justify;">Based on the work of paper [1], we propose a modified Levenberg-Marquardt algorithm for solving singular system of nonlinear equations $F(x)=0$, where $F(x):R^n\rightarrow R^n$ is continuously differentiable and $F&#39;(x)$ is Lipschitz continuous. The algorithm is equivalent to a trust region algorithm in some sense , and the global convergence result is given. The sequence generated by the algorithm converges to the solution quadratically, if $\|F(x)\|_2$provides a local error bound for the system of nonlinear equations. Numerical results show that the algorithm performs well.</p>},
issn = {1991-7139},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/jcm/10241.html}
}