A review of quasi-Newton methods in nonlinear equation solving and unconstrained optimization

1966 ◽  
Author(s):  
Edward M. Rosen
Keyword(s):  
Nonlinear Equation ◽  
Unconstrained Optimization ◽  
Newton Methods ◽  
Equation Solving ◽  
Quasi Newton

Parallel quasi-Newton methods for unconstrained optimization

1988 ◽  
Vol 42 (1-3) ◽  
pp. 273-306 ◽  
Author(s):  
Richard H. Byrd ◽  
Robert B. Schnabel ◽  
Gerald A. Shultz
Keyword(s):  
Unconstrained Optimization ◽  
Newton Methods ◽  
Quasi Newton

scholarly journals A new variants of quasi-newton equation based on the quadratic function for unconstrained optimization

2020 ◽  
Vol 19 (2) ◽  
pp. 701
Author(s):  
Basim Abbas Hassan ◽  
Mohammed W. Taha
Keyword(s):  
Unconstrained Optimization ◽  
Numerical Experiments ◽  
Quadratic Function ◽  
New Method ◽  
Newton Methods ◽  
Newton Equation ◽  
Globally Convergent ◽  
Quasi Newton

<p>The focus for quasi-Newton methods is the quasi-Newton equation. A new quasi-Newton equation is derived for quadratic function. Then, based on this new quasi-Newton equation, a new quasi-Newton updating formulas are presented. Under appropriate conditions, it is shown that the proposed method is globally convergent. Finally, some numerical experiments are reported which verifies the effectiveness of the new method.</p>

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