A New Modified Levenberg–Marquardt Method for Systems of Nonlinear Equations

Taking a new choice of the LM parameter λk=μkJkTFkδ with δ∈0,2, we give a new modified Levenberg–Marquardt method. Under the error bound condition c distw,S≤JwTFw which is weaker than the nonsingular of Jacobian Jw, we present that the new Levenberg–Marquardt method has at least superlinear converge...

Full description

Bibliographic Details
Main Authors: Liang Chen, Yanfang Ma
Format: Article
Language:English
Published: Hindawi Limited 2023-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2023/6043780