Global Convergence of a Cass of Quasi-Newton Methods on Convex Problems

1987 ◽  
Vol 24 (5) ◽  
pp. 1171-1190 ◽  
Author(s):  
Richard H. Byrd ◽  
Jorge Nocedal ◽  
Ya-Xiang Yuan
Keyword(s):  
Global Convergence ◽  
Newton Methods ◽  
Convex Problems ◽  
Quasi Newton

scholarly journals A new quasi-newton equation on the gradient methods for optimization minimization problem

2020 ◽  
Vol 19 (2) ◽  
pp. 737
Author(s):  
Basim Abbas Hassan ◽  
Ghada M. Al-Naemi
Keyword(s):  
Global Convergence ◽  
Series Expansion ◽  
Minimization Problem ◽  
Gradient Methods ◽  
Bfgs Method ◽  
Newton Methods ◽  
Newton Equation ◽  
The Given ◽  
Quasi Newton ◽  
Taylor’S Series

<p><span>The quasi-Newton equation is the very foundation of an assortment of </span><span>the quasi-Newton methods for optimization minimization problem. In this paper, we deriving a new quasi-Newton equation based on the second-order Taylor’s series expansion. The global convergence is established underneath suitable conditions and numerical results are reported to show that the given algorithm is more effective than those of the normal BFGS method.</span></p>

scholarly journals A Broyden Class of Quasi-Newton Methods for Riemannian Optimization

2015 ◽  
Vol 25 (3) ◽  
pp. 1660-1685 ◽  
Author(s):  
Wen Huang ◽  
K. A. Gallivan ◽  
P.-A. Absil
Keyword(s):  
Newton Methods ◽  
Riemannian Optimization ◽  
Broyden Class ◽  
Quasi Newton

Quasi-Newton methods for saddlepoints

1985 ◽  
Vol 47 (4) ◽  
pp. 393-399 ◽  
Author(s):  
F. Biegler-König
Keyword(s):  
Newton Methods ◽  
Quasi Newton
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