Convergence behaviour of inexact Newton methods under weak Lipschitz condition

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:191

Article

Chen, JH ; Li, WG

关键词: systems of nonlinear equations;    inexact Newton methods;    weak Lipschitz condition;    affine invariant condition;   

DOI  :  10.1016/j.cam.2005.03.076

来源: Elsevier

【 摘 要 】

Under weak Lipschitz condition, local convergence properties of inexact Newton methods and Newton-like methods for systems of nonlinear equations are established in an arbitrary vector norm. Processes with modified relative residual control are considered; the results easily provide an estimate of convergence ball for inexact methods. For a special case, the results are affine invariant. Some applications are given. (c) 2005 Elsevier B.V. All rights reserved.

【 授权许可】

Free