Two modified DY conjugate gradient methods for unconstrained optimization problems

Zhibin Zhu, Dongdong Zhang and Shuo Wang

Applied Mathematics and Computation, 2020, vol. 373, issue C

Abstract: In this paper, we study the unconstrained optimization problems, and the two modified DY conjugate gradient methods (DDY1 method and DDY2 method) are proposed under the DY conjugate gradient method. By using the standard Wolfe line search, we prove the global convergence of the two methods. The search direction of DDY1 method is descent with the standard Wolfe line search. The search direction generated by the DDY2 method is sufficient descent, in which the property does not depend on any line search. Preliminary numerical results show that the two methods are effective.

Keywords: Unconstrained optimization problem; Conjugate gradient method; Standard Wolfe line search; Global convergence; Sufficient descent property (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:373:y:2020:i:c:s0096300319309968

DOI: 10.1016/j.amc.2019.125004

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