Year: 1988
Author: Zhong-Hua Yang
Journal of Computational Mathematics, Vol. 6 (1988), Iss. 1 : pp. 1–6
Abstract
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 $f'(u)$ is singular at the solution $u^*$ of $f(u)=0$. A new acceleration method in the homotopy Newton's continuation is proposed. The quadratic convergence of the new algorithm is proved. A numerical example is given.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/1988-JCM-9492
Journal of Computational Mathematics, Vol. 6 (1988), Iss. 1 : pp. 1–6
Published online: 1988-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 6