Referred paper and preprints
X.-L. Luo, H. Xiao and J.-H. Lv, Continuation Newton methods with the residual trust-region time-stepping scheme for nonlinear equations
发布时间:2021-03-30  点击次数:

发表刊物:Numerical Algorithms

刊物所在地:The Netherlands

关键字:Continuation Newton method, trust-region method, nonlinear equations, homotopy method

摘要:For nonlinear equations, the homotopy methods (continuation methods) are popular in engineering fields since their convergence regions are large and they are quite reliable to find a solution. The disadvantage of the classical homotopy methods is that their computational time is heavy since they need to solve many auxiliary nonlinear systems during the intermediate continuation processes. In order to overcome this shortcoming, we consider the special explicit continuation Newton method with the residual trust-region time-stepping scheme for this problem. According to our numerical experiments,

论文类型:期刊论文

第一作者:罗新龙

合写作者:肖航,吕家辉

学科门类:理学

一级学科:数学

文献类型:J

页面范围:1-25

ISSN号:1017-1398

是否译文:

发表时间:2021-04-02

收录刊物:SCI

发布期刊链接:http://doi.org/10.1007/s11075-021-01112-x