Open Access
June 2014 A survey of sufficient descent conjugate gradient methods for unconstrained optimization
Yasushi Narushima, Hiroshi Yabe
Author Affiliations +
SUT J. Math. 50(2): 167-203 (June 2014). DOI: 10.55937/sut/1424782608

Abstract

In this decade, nonlinear conjugate gradient methods have been focused on as effective numerical methods for solving large-scale unconstrained optimization problems. Especially, nonlinear conjugate gradient methods with the sufficient descent property have been studied by many researchers. In this paper, we review sufficient descent nonlinear conjugate gradient methods.

Funding Statement

The authors are supported in part by the Grant-in-Aid for Scientific Research (C) 25330030 of Japan Society for the Promotion of Science.

Citation

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Yasushi Narushima. Hiroshi Yabe. "A survey of sufficient descent conjugate gradient methods for unconstrained optimization." SUT J. Math. 50 (2) 167 - 203, June 2014. https://doi.org/10.55937/sut/1424782608

Information

Received: 1 August 2014; Revised: 24 February 2015; Published: June 2014
First available in Project Euclid: 11 June 2022

Digital Object Identifier: 10.55937/sut/1424782608

Subjects:
Primary: 65K05 , 90C06 , 90C30

Keywords: conjugate gradient method , global convergence , sufficient descent condition , Unconstrained optimization

Rights: Copyright © 2014 Tokyo University of Science

Vol.50 • No. 2 • June 2014
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