Volume 21, Issue 3
Testing Different Conjugate Gradient Methods for Large-Scale Unconstrained Optimization

Yu-hong Dai & Qin Ni

DOI:

J. Comp. Math., 21 (2003), pp. 311-320

Published online: 2003-06

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  • Abstract

In this paper we test different conjugate gradient (CG) methods for solving large-scale unconstrained optimization problems. The methods are divided in two groups: the first group includes five basic CG methods and the second five hybrid CG methods. A collection of medium-scale and large-scale test problems are drawn from a standard code of test problems, CUTE. The conjugate gradient methods are ranked according to the numerical results. Some remarks are given.

  • Keywords

Conjugate gradient methods Large-scale Unconstrained optimization Numerical tests

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@Article{JCM-21-311, author = {Yu-hong Dai and Qin Ni}, title = {Testing Different Conjugate Gradient Methods for Large-Scale Unconstrained Optimization}, journal = {Journal of Computational Mathematics}, year = {2003}, volume = {21}, number = {3}, pages = {311--320}, abstract = { In this paper we test different conjugate gradient (CG) methods for solving large-scale unconstrained optimization problems. The methods are divided in two groups: the first group includes five basic CG methods and the second five hybrid CG methods. A collection of medium-scale and large-scale test problems are drawn from a standard code of test problems, CUTE. The conjugate gradient methods are ranked according to the numerical results. Some remarks are given. }, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/10259.html} }
TY - JOUR T1 - Testing Different Conjugate Gradient Methods for Large-Scale Unconstrained Optimization AU - Yu-hong Dai & Qin Ni JO - Journal of Computational Mathematics VL - 3 SP - 311 EP - 320 PY - 2003 DA - 2003/06 SN - 21 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/10259.html KW - Conjugate gradient methods KW - Large-scale KW - Unconstrained optimization KW - Numerical tests AB - In this paper we test different conjugate gradient (CG) methods for solving large-scale unconstrained optimization problems. The methods are divided in two groups: the first group includes five basic CG methods and the second five hybrid CG methods. A collection of medium-scale and large-scale test problems are drawn from a standard code of test problems, CUTE. The conjugate gradient methods are ranked according to the numerical results. Some remarks are given.
Yu-hong Dai & Qin Ni. (1970). Testing Different Conjugate Gradient Methods for Large-Scale Unconstrained Optimization. Journal of Computational Mathematics. 21 (3). 311-320. doi:
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