Variational quasi-Newton methods for unconstrained optimization

1993 ◽  
Vol 77 (1) ◽  
pp. 127-143 ◽  
Author(s):  
M. Al-Baali
Keyword(s):  
Unconstrained Optimization ◽  
Newton Methods ◽  
Quasi Newton

Reduced-Hessian Quasi-Newton Methods for Unconstrained Optimization

2001 ◽  
Vol 12 (1) ◽  
pp. 209-237 ◽  
Author(s):  
Philip E. Gill ◽  
Michael W. Leonard
Keyword(s):  
Unconstrained Optimization ◽  
Newton Methods ◽  
Reduced Hessian ◽  
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>

A family of quasi-Newton methods for unconstrained optimization problems

Optimization ◽  
2018 ◽  
Vol 67 (10) ◽  
pp. 1717-1727 ◽  
Author(s):  
M. S. Salim ◽  
A. I. Ahmed
Keyword(s):  
Unconstrained Optimization ◽  
Optimization Problems ◽  
Newton Methods ◽  
Unconstrained Optimization Problems ◽  
Quasi Newton

scholarly journals Alternating multi-step quasi-Newton methods for unconstrained optimization

1997 ◽  
Vol 82 (1-2) ◽  
pp. 105-116 ◽  
Author(s):  
J.A. Ford ◽  
I.A. Moghrabi
Keyword(s):  
Unconstrained Optimization ◽  
Newton Methods ◽  
Quasi Newton

Quasi-Newton Methods for Unconstrained Optimization

1972 ◽  
Vol 9 (1) ◽  
pp. 91-108 ◽  
Author(s):  
P. E. GILL ◽  
W. MURRAY
Keyword(s):  
Unconstrained Optimization ◽  
Newton Methods ◽  
Quasi Newton
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