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Journal:Numerical Algorithms

Place of Publication:The Netherlands

Key Words:Continuation Newton method, trust-region method, nonlinear equations, homotopy method

Abstract: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,

Indexed by:Journal paper

First Author:罗新龙

All the Authors:肖航,吕家辉

Discipline:Science of Science

First-Level Discipline:Mathematics

Document Type:J

Page Number:1-25

ISSN No.:1017-1398

Translation or Not:no

Date of Publication:2021-04-02

Included Journals:SCI

Links to published journals:http://doi.org/10.1007/s11075-021-01112-x

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