Objective-derivative-free methods for constrained optimization

2002 ◽  
Vol 92 (1) ◽  
pp. 37-59 ◽  
Author(s):  
S. Lucidi ◽  
M. Sciandrone ◽  
P. Tseng
Keyword(s):  
Constrained Optimization ◽  
Derivative Free ◽  
Derivative Free Methods ◽  
Objective Derivative

An efficient class of fourth-order derivative-free method for multiple-roots

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Sunil Kumar ◽  
Deepak Kumar ◽  
Janak Raj Sharma ◽  
Ioannis K. Argyros
Keyword(s):  
Multiple Root ◽  
Second Step ◽  
Optimal Order ◽  
Multiple Roots ◽  
Nonlinear Functions ◽  
New Methods ◽  
Derivative Free ◽  
Derivative Free Methods ◽  
Derivative Free Method ◽  
Good Number

Abstract Many optimal order multiple root techniques, which use derivatives in the algorithm, have been proposed in literature. Many researchers tried to construct an optimal family of derivative-free methods for multiple roots, but they did not get success in this direction. With this as a motivation factor, here, we present a new optimal class of derivative-free methods for obtaining multiple roots of nonlinear functions. This procedure involves Traub–Steffensen iteration in the first step and Traub–Steffensen-like iteration in the second step. Efficacy is checked on a good number of relevant numerical problems that verifies the efficient convergent nature of the new methods. Moreover, we find that the new derivative-free methods are just as competent as the other existing robust methods that use derivatives.

A derivative-free algorithm for spherically constrained optimization

2020 ◽  
Vol 76 (4) ◽  
pp. 841-861
Author(s):  
Min Xi ◽  
Wenyu Sun ◽  
Yannan Chen ◽  
Hailin Sun
Keyword(s):  
Constrained Optimization ◽  
Derivative Free

A progressive barrier derivative-free trust-region algorithm for constrained optimization

2018 ◽  
Vol 71 (2) ◽  
pp. 307-329 ◽  
Author(s):  
Charles Audet ◽  
Andrew R. Conn ◽  
Sébastien Le Digabel ◽  
Mathilde Peyrega
Keyword(s):  
Constrained Optimization ◽  
Trust Region ◽  
Trust Region Algorithm ◽  
Derivative Free

Production optimization using derivative free methods applied to Brugge field case

2014 ◽  
Vol 114 ◽  
pp. 22-37 ◽  
Author(s):  
Masoud Asadollahi ◽  
Geir Nævdal ◽  
Mohsen Dadashpour ◽  
Jon Kleppe
Keyword(s):  
Production Optimization ◽  
Field Case ◽  
Derivative Free ◽  
Derivative Free Methods
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