Gauss–Newton–Secant Method for Solving Nonlinear Least Squares Problems under Generalized Lipschitz Conditions

Gauss–Newton–Secant Method for Solving Nonlinear Least Squares Problems under Generalized Lipschitz Conditions

We develop a local convergence of an iterative method for solving nonlinear least squares problems with operator decomposition under the classical and generalized Lipschitz conditions. We consider the case of both zero and nonzero residuals and determine their convergence orders. We use two types of...

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Bibliographic Details
Main Authors: Ioannis K. Argyros, Stepan Shakhno, Roman Iakymchuk, Halyna Yarmola, Michael I. Argyros
Format: Article
Language:English
Published: MDPI AG 2021-07-01
Series:Axioms
Subjects:
nonlinear least squares problem
differential-difference method
divided differences
radius of convergence
residual
error estimates
Online Access:https://www.mdpi.com/2075-1680/10/3/158

Internet

https://www.mdpi.com/2075-1680/10/3/158

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