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Local convergence of the Gauss-Newton-Kurchatov method under generalized Lipschitz conditions

We investigate the local convergence of the Gauss-Newton-Kurchatov method for solving nonlinear least squares problems. This method is a combination of Gauss-Newton and Kurchatov methods and it is used for problems with the decomposition of the operator. The convergence analysis of the method is per...

Ausführliche Beschreibung

Gespeichert in:
Hauptverfasser: S.M. Shakhno, H.P. Yarmola
Format: Artigo
Sprache:Inglês
Veröffentlicht: Vasyl Stefanyk Precarpathian National University 2021-07-01
Schriftenreihe:Karpatsʹkì Matematičnì Publìkacìï
Schlagworte:
gauss-newton-kurchatov method
local convergence
fréchet derivative
divided difference
generalized lipschitz condition
convergence domain
Online-Zugang:https://journals.pnu.edu.ua/index.php/cmp/article/view/4151
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