inexact newton methods
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2020 ◽  
Vol 29 (2) ◽  
pp. 113-120
Author(s):  
IOANNIS K. ARGYROS ◽  
GEORGE SANTHOSH

We present a local convergence analysis for inexact Newton methods in order to approximate a solution of a nonlinear equation in a Banach space. Our sufficient convergence conditions involve only hypotheses on the first Frèchet-derivative of the operator involved. Numerical examples are also provided in this study.



2017 ◽  
Vol 44 (1) ◽  
pp. 123-133
Author(s):  
Ioannis K. Argyros ◽  
Santhosh George


2015 ◽  
Vol 53 (2) ◽  
pp. 1003-1019 ◽  
Author(s):  
R. Cibulka ◽  
A. Dontchev ◽  
M. H. Geoffroy






2014 ◽  
Vol 261 ◽  
pp. 103-117 ◽  
Author(s):  
I.K. Argyros ◽  
S.K. Khattri


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