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Journal:Journal of Scientific Computing

Key Words:Continuation Newton method; trust-region method; underdetermined system; nonlinear equations

Abstract:This paper considers the generalized continuation Newton method and the trust-region updating strategy for the underdetermined system of nonlinear equations. Moreover, in order to improve its computational efficiency, the new method will not update the Jacobian matrix when the current Jacobian matrix performs well. The numerical results show that the new method is more robust and faster than the traditional optimization method such as the Levenberg-Marquardt method (a variant of trust-region methods, the built-in subroutine fsolve.m of the MATLAB R2020a environment).

Indexed by:Journal paper

First Author:luoxinlong

All the Authors:Hang Xiao

Discipline:Science of Science

First-Level Discipline:Mathematics

Document Type:J

Page Number:1-22

ISSN No.:1573-7691

Translation or Not:no

Date of Publication:2021-07-07

Included Journals:SCI

Links to published journals:http://doi.org/10.1007/s10915-021-01566-0

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