scholarly journals Continuation Newton methods with the residual trust-region time-stepping scheme for nonlinear equations

2021 ◽  
Author(s):  
Xin-long Luo ◽  
Hang Xiao ◽  
Jia-hui Lv
Keyword(s):  
Nonlinear Equations ◽  
Trust Region ◽  
Newton Methods ◽  
Time Stepping

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 A nonmonotone adaptive trust-region algorithm for symmetric nonlinear equations

2010 ◽  
Vol 02 (04) ◽  
pp. 373-378
Author(s):  
Gong-Lin Yuan ◽  
Cui-Ling Chen ◽  
Zeng-Xin Wei
Keyword(s):  
Nonlinear Equations ◽  
Trust Region ◽  
Trust Region Algorithm

scholarly journals Inexact Quasi-Newton methods for sparse systems of nonlinear equations

2001 ◽  
Vol 18 (1) ◽  
pp. 41-53 ◽  
Author(s):  
Luca Bergamaschi ◽  
Igor Moret ◽  
Giovanni Zilli
Keyword(s):  
Nonlinear Equations ◽  
Systems Of Nonlinear Equations ◽  
Newton Methods ◽  
Sparse Systems ◽  
Quasi Newton

A BFGS trust-region method with a new nonmonotone technique for nonlinear equations

Optimization ◽  
2013 ◽  
Vol 64 (4) ◽  
pp. 981-992 ◽  
Author(s):  
Hua Wang ◽  
Chao Gu ◽  
Dingguo Pu
Keyword(s):  
Nonlinear Equations ◽  
Trust Region Method ◽  
Trust Region ◽  
Nonmonotone Technique ◽  
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