IJPAM: Volume 99, No. 3 (2015)
GRADIENT METHOD




Badji Mokhtar University
P.O. Box 12, Annaba, 23000, ALGERIA

Abstract. Descent direction methods and trust region methods are usually used to solve the unconstrained optimization problem
In this work, we are interested in convergence results that use trust region
methods which employ the conjugate gradient method Day-Yuan version as a
subprogram for each iteration. Further, we penalize the quadratic problems
with constraints and convert them into series of unconstrained problems.
Received: October 29, 2014
AMS Subject Classification: 65K05, 90C30
Key Words and Phrases: unconstrained optimization, conjugate gradient method Day-Yuan version, Wolf's rule, trust region methods, penalty method
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DOI: 10.12732/ijpam.v99i3.6 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2015
Volume: 99
Issue: 3
Pages: 299 - 313
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This work is licensed under the Creative Commons Attribution International License (CC BY).