@Article{JCM-6-1,
author = {Zhong-Hua, Yang},
title = {An Acceleration Method in the Homotopy Newton's Continuation for Nonlinear Singular Problems},
journal = {Journal of Computational Mathematics},
year = {1988},
volume = {6},
number = {1},
pages = {1--6},
abstract = {<p style="text-align: justify;">The nonlinear singular problem $f(u)=0$ is considered. Here $f$ is a $C^3$ mapping from $E^n$ to $E^n$. The Jacobian matrix $f&#39;(u)$ is singular at the solution $u^*$ of $f(u)=0$. A new acceleration method in the homotopy Newton&#39;s continuation is proposed. The quadratic convergence of the new algorithm is proved. A numerical example is given.</p>},
issn = {1991-7139},
doi = {https://doi.org/1988-JCM-9492},
url = {https://global-sci.com/article/86128/an-acceleration-method-in-the-homotopy-newtons-continuation-for-nonlinear-singular-problems}
}