scholarly journals BFGS trust-region method for symmetric nonlinear equations

2009 ◽  
Vol 230 (1) ◽  
pp. 44-58 ◽  
Author(s):  
Gonglin Yuan ◽  
Xiwen Lu ◽  
Zengxin Wei
Keyword(s):  
Nonlinear Equations ◽  
Trust Region Method ◽  
Trust Region ◽  
Region Method

A BFGS trust-region method for nonlinear equations

Computing ◽  
2011 ◽  
Vol 92 (4) ◽  
pp. 317-333 ◽  
Author(s):  
Gonglin Yuan ◽  
Zengxin Wei ◽  
Xiwen Lu
Keyword(s):  
Nonlinear Equations ◽  
Trust Region Method ◽  
Trust Region ◽  
Region Method

scholarly journals On convergence properties of the modified trust region method under Hölderian error bound condition

2021 ◽  
Vol 0 (0) ◽  
pp. 0
Author(s):  
Jirui Ma ◽  
Jinyan Fan
Keyword(s):  
Error Bound ◽  
Nonlinear Equations ◽  
Trust Region Method ◽  
Trust Region ◽  
Convergence Order ◽  
Convergence Properties ◽  
Region Method

<p style='text-indent:20px;'>Trust region method is one of the important methods for nonlinear equations. In this paper, we show that the modified trust region method converges globally under the Hölderian continuity of the Jacobian. The convergence order of the method is also given under the Hölderian error bound condition.</p>

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