scholarly journals A globally convergent BFGS method for symmetric nonlinear equations

2017 ◽  
Vol 13 (5) ◽  
pp. 0-0
Author(s):  
Weijun Zhou ◽  
Keyword(s):  
Nonlinear Equations ◽  
Bfgs Method ◽  
Globally Convergent

scholarly journals A globally convergent modified version of the method of moving asymptotes

2020 ◽  
pp. 41-41
Author(s):  
Allal Guessab ◽  
Abderrazak Driouch ◽  
Otheman Nouisser
Keyword(s):  
Iterative Process ◽  
Present Method ◽  
Experimental Results ◽  
Order Information ◽  
Bfgs Method ◽  
Strictly Convex ◽  
Method Of Moving Asymptotes ◽  
Globally Convergent ◽  
Geometrical Convergence ◽  
Moving Asymptotes

A new modified moving asymptotes method is presented. In each step of the iterative process, a strictly convex approximating subproblem is generated and explicitly solved. In doing so we propose a strategy to incorporate a modified second-order information for the moving asymptotes location. Under natural assumptions, we prove the geometrical convergence. In addition the experimental results reveal that the present method is significantly faster compared to the [1] method, Newton's method and the BFGS Method.

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