scholarly journals Local convergence analysis of Inexact Newton method with relative residual error tolerance under majorant condition in Riemannian manifolds

2015 ◽  
Vol 261 ◽  
pp. 28-38 ◽  
Author(s):  
Tiberio Bittencourt ◽  
Orizon Pereira Ferreira
Keyword(s):  
Convergence Analysis ◽  
Newton Method ◽  
Riemannian Manifolds ◽  
Local Convergence ◽  
Residual Error ◽  
Error Tolerance ◽  
Inexact Newton Method ◽  
Majorant Condition ◽  
Local Convergence Analysis

scholarly journals On Local Convergence Analysis of Inexact Newton Method for Singular Systems of Equations under Majorant Condition

2014 ◽  
Vol 2014 ◽  
pp. 1-9
Author(s):  
Fangqin Zhou
Keyword(s):  
Convergence Analysis ◽  
Newton Method ◽  
Local Convergence ◽  
Singular Systems ◽  
Inexact Newton Method ◽  
Systems Of Equations ◽  
Convergence Ball ◽  
Special Cases ◽  
Majorant Condition ◽  
Local Convergence Analysis

We present a local convergence analysis of inexact Newton method for solving singular systems of equations. Under the hypothesis that the derivative of the function associated with the singular systems satisfies a majorant condition, we obtain that the method is well defined and converges. Our analysis provides a clear relationship between the majorant function and the function associated with the singular systems. It also allows us to obtain an estimate of convergence ball for inexact Newton method and some important special cases.

Robust semi-local convergence analysis for inexact Newton method

2014 ◽  
Vol 227 ◽  
pp. 741-754
Author(s):  
Ioannis K. Argyros ◽  
Saïd Hilout ◽  
Ángel A. Magreñán
Keyword(s):  
Convergence Analysis ◽  
Newton Method ◽  
Local Convergence ◽  
Inexact Newton Method ◽  
Local Convergence Analysis
Sign in / Sign up

Export Citation Format

Share Document