Optimization of Photonic Crystal Polarization Handling Devices Using Trust Region Algorithms

2018 ◽  
pp. 1-1
Author(s):  
Abdel-Karim S. O. Hassan ◽  
Mohamed Farhat O. Hameed ◽  
Ahmed E. Hammad H. Elqenawy ◽  
S. S. A. Obayya
Keyword(s):  
Photonic Crystal ◽  
Trust Region ◽  
Trust Region Algorithms

Global convergence of trust-region algorithms for convex constrained minimization without derivatives

2013 ◽  
Vol 220 ◽  
pp. 324-330 ◽  
Author(s):  
P.D. Conejo ◽  
E.W. Karas ◽  
L.G. Pedroso ◽  
A.A. Ribeiro ◽  
M. Sachine
Keyword(s):  
Global Convergence ◽  
Trust Region ◽  
Constrained Minimization ◽  
Trust Region Algorithms

Trust region algorithms for the nonlinear least distance problem

1995 ◽  
Vol 9 (1) ◽  
pp. 171-179 ◽  
Author(s):  
H. -P. Helfrich ◽  
D. Zwick
Keyword(s):  
Trust Region ◽  
Trust Region Algorithms ◽  
Distance Problem

A New Hybrid Algorithm of Trust Region Methods

2014 ◽  
Vol 680 ◽  
pp. 442-446
Author(s):  
De Qing Zhang ◽  
Pei Pei Zhou ◽  
Qing Hua Zhou
Keyword(s):  
Numerical Experiments ◽  
Trust Region ◽  
Acute Angle ◽  
Step Size ◽  
Interaction Point ◽  
Trust Region Algorithms ◽  
Value Range ◽  
One Step ◽  
Current Interaction ◽  
Negative Gradient

In the solution of trust region subproblem within the classical trust region algorithms, the centre of sphere is the current interaction point and one step-size is the upper bound. Considering that only with the negative gradient direction to acute angle may reduce the function value, we introduce the parameter to control of the centre of sphere and the radius. Based on the numerical experiments, obtains the value range of the parameter. The numerical evaluation demonstrates the validity of the new trust region algorithms.

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