A hybrid pattern search method for solving unconstrained optimization problems

2012 ◽  
Author(s):  
Fahd A. Alturki ◽  
Ehab A. Abdelhafiez
Keyword(s):  
Unconstrained Optimization ◽  
Optimization Problems ◽  
Search Method ◽  
Pattern Search ◽  
Pattern Search Method ◽  
Unconstrained Optimization Problems

scholarly journals Accelerated Double Direction Method for Solving Unconstrained Optimization Problems

2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
Milena J. Petrović ◽  
Predrag S. Stanimirović
Keyword(s):  
Unconstrained Optimization ◽  
Line Search ◽  
Optimization Problems ◽  
Search Method ◽  
Specific Form ◽  
Quadratic Functions ◽  
Uniformly Convex ◽  
Inexact Line Search ◽  
Unconstrained Optimization Problems ◽  
Numerical Process

An iterative method for solving a minimization problem of unconstrained optimization is presented. This multistep curve search method uses the specific form of iteration with two direction parameters, the approximation of Hessian by appropriately constructed diagonal matrix, and the inexact line search procedure. It is proved that constructed numerical process is well defined under some assumptions. Considering certain conditions, the method is linearly convergent for uniformly convex and strictly convex quadratic functions. Numerical results arising from defined algorithms are also presented and analyzed.

A Non-Monotone Line Search Combination Technique for Unconstrained Optimization

2014 ◽  
Vol 8 (1) ◽  
pp. 218-221 ◽  
Author(s):  
Ping Hu ◽  
Zong-yao Wang
Keyword(s):  
Global Convergence ◽  
Unconstrained Optimization ◽  
Numerical Experiments ◽  
Line Search ◽  
Optimization Problems ◽  
Search Algorithm ◽  
New Combination ◽  
Combination Rule ◽  
Combination Technique ◽  
Unconstrained Optimization Problems

We propose a non-monotone line search combination rule for unconstrained optimization problems, the corresponding non-monotone search algorithm is established and its global convergence can be proved. Finally, we use some numerical experiments to illustrate the new combination of non-monotone search algorithm’s effectiveness.

Parallel-vector computation for linear structural analysis and non-linear unconstrained optimization problems

1991 ◽  
Vol 2 (2-3) ◽  
pp. 175-182 ◽  
Author(s):  
D.T. Nguyen ◽  
O.O. Storaasli ◽  
E.A. Carmona ◽  
M. Al-Nasra ◽  
Y. Zhang ◽  
...  
Keyword(s):  
Structural Analysis ◽  
Unconstrained Optimization ◽  
Optimization Problems ◽  
Unconstrained Optimization Problems ◽  
Non Linear
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