scholarly journals Hölder strong metric subregularity and its applications to convergence analysis of inexact Newton methods

2021 ◽  
Vol 17 (1) ◽  
pp. 169-184
Author(s):  
Wei Ouyang ◽  
◽  
Li Li ◽  
Keyword(s):  
Convergence Analysis ◽  
Newton Methods ◽  
Metric Subregularity ◽  
Inexact Newton Methods ◽  
Strong Metric Subregularity

scholarly journals Kantorovich-type semilocal convergence analysis for inexact Newton methods

2011 ◽  
Vol 235 (9) ◽  
pp. 2993-3005
Author(s):  
Ioannis K. Argyros ◽  
Hongmin Ren
Keyword(s):  
Convergence Analysis ◽  
Semilocal Convergence ◽  
Newton Methods ◽  
Inexact Newton Methods

scholarly journals A fine convergence analysis for inexact Newton methods

2006 ◽  
Vol 36 (0) ◽  
pp. 7-31
Author(s):  
Ioannis K. Argyros
Keyword(s):  
Convergence Analysis ◽  
Newton Methods ◽  
Inexact Newton Methods

scholarly journals Globally Convergent Inexact Newton Methods

1994 ◽  
Vol 4 (2) ◽  
pp. 393-422 ◽  
Author(s):  
Stanley C. Eisenstat ◽  
Homer F. Walker
Keyword(s):  
Newton Methods ◽  
Inexact Newton Methods ◽  
Globally Convergent

scholarly journals Diagonally scaled memoryless quasi–Newton methods with application to compressed sensing

2021 ◽  
Vol 0 (0) ◽  
pp. 0
Author(s):  
Zohre Aminifard ◽  
Saman Babaie-Kafaki
Keyword(s):  
Compressed Sensing ◽  
Convergence Analysis ◽  
Newton Methods ◽  
The Given ◽  
Quasi Newton

<p style='text-indent:20px;'>Memoryless quasi–Newton updating formulas of BFGS (Broyden–Fletcher–Goldfarb–Shanno) and DFP (Davidon–Fletcher–Powell) are scaled using well-structured diagonal matrices. In the scaling approach, diagonal elements as well as eigenvalues of the scaled memoryless quasi–Newton updating formulas play significant roles. Convergence analysis of the given diagonally scaled quasi–Newton methods is discussed. At last, performance of the methods is numerically tested on a set of CUTEr problems as well as the compressed sensing problem.</p>

Convergence of inexact Newton methods for generalized equations

2013 ◽  
Vol 139 (1-2) ◽  
pp. 115-137 ◽  
Author(s):  
A. L. Dontchev ◽  
R. T. Rockafellar
Keyword(s):  
Generalized Equations ◽  
Newton Methods ◽  
Inexact Newton Methods
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