On the superlinear local convergence of a filter-SQP method

2003 ◽  
Vol 100 (1) ◽  
Author(s):  
Stefan Ulbrich
Keyword(s):  
Local Convergence ◽  
Sqp Method

A Second Derivative SQP Method: Local Convergence and Practical Issues

2010 ◽  
Vol 20 (4) ◽  
pp. 2049-2079 ◽  
Author(s):  
Nicholas I. M. Gould ◽  
Daniel P. Robinson
Keyword(s):  
Local Convergence ◽  
Second Derivative ◽  
Sqp Method

A Nonmonotone Filter SQP Method: Local Convergence and Numerical Results

2015 ◽  
Vol 25 (3) ◽  
pp. 1885-1911 ◽  
Author(s):  
Nicholas I. M. Gould ◽  
Yueling Loh ◽  
Daniel P. Robinson
Keyword(s):  
Local Convergence ◽  
Numerical Results ◽  
Sqp Method

On the Local Convergence of a Penalty-Function-Free SQP Method

2014 ◽  
Vol 35 (5) ◽  
pp. 623-647 ◽  
Author(s):  
Chungen Shen ◽  
Wenqiong Shao ◽  
Wenjuan Xue
Keyword(s):  
Penalty Function ◽  
Local Convergence ◽  
Sqp Method

scholarly journals Extending the Applicability of a Two-Step Chord-Type Method for Non-Differentiable Operators

Mathematics ◽  
2019 ◽  
Vol 7 (9) ◽  
pp. 804
Author(s):  
Ioannis K. Argyros ◽  
Neha Gupta ◽  
J. P. Jaiswal
Keyword(s):  
Approximate Solution ◽  
Convergence Analysis ◽  
Banach Spaces ◽  
Recurrence Relation ◽  
Convergence Theorem ◽  
Local Convergence ◽  
Existence And Uniqueness ◽  
Numerical Illustration ◽  
Type Method ◽  
Local Convergence Analysis

The semi-local convergence analysis of a well defined and efficient two-step Chord-type method in Banach spaces is presented in this study. The recurrence relation technique is used under some weak assumptions. The pertinency of the assumed method is extended for nonlinear non-differentiable operators. The convergence theorem is also established to show the existence and uniqueness of the approximate solution. A numerical illustration is quoted to certify the theoretical part which shows that earlier studies fail if the function is non-differentiable.

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