A Spectral Dai-Yuan-Type Conjugate Gradient Method for Unconstrained Optimization

A Spectral Dai-Yuan-Type Conjugate Gradient Method for Unconstrained Optimization

A new spectral conjugate gradient method (SDYCG) is presented for solving unconstrained optimization problems in this paper. Our method provides a new expression of spectral parameter. This formula ensures that the sufficient descent condition holds. The search direction in the SDYCG can be viewed a...

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Main Authors: Guanghui Zhou, Qin Ni
Format: Article
Language:English
Published: Hindawi Limited 2015-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2015/839659
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spelling doaj-6175d625108a4453afa28eb85f87c9182020-11-25T00:46:50ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472015-01-01201510.1155/2015/839659839659A Spectral Dai-Yuan-Type Conjugate Gradient Method for Unconstrained OptimizationGuanghui Zhou0Qin Ni1Nanjing University of Aeronautics and Astronautics, Nanjing 210016, ChinaNanjing University of Aeronautics and Astronautics, Nanjing 210016, ChinaA new spectral conjugate gradient method (SDYCG) is presented for solving unconstrained optimization problems in this paper. Our method provides a new expression of spectral parameter. This formula ensures that the sufficient descent condition holds. The search direction in the SDYCG can be viewed as a combination of the spectral gradient and the Dai-Yuan conjugate gradient. The global convergence of the SDYCG is also obtained. Numerical results show that the SDYCG may be capable of solving large-scale nonlinear unconstrained optimization problems.http://dx.doi.org/10.1155/2015/839659
collection DOAJ
language English
format Article
sources DOAJ
author Guanghui Zhou
Qin Ni
spellingShingle Guanghui Zhou
Qin Ni
A Spectral Dai-Yuan-Type Conjugate Gradient Method for Unconstrained Optimization
Mathematical Problems in Engineering
author_facet Guanghui Zhou
Qin Ni
author_sort Guanghui Zhou
title A Spectral Dai-Yuan-Type Conjugate Gradient Method for Unconstrained Optimization
title_short A Spectral Dai-Yuan-Type Conjugate Gradient Method for Unconstrained Optimization
title_full A Spectral Dai-Yuan-Type Conjugate Gradient Method for Unconstrained Optimization
title_fullStr A Spectral Dai-Yuan-Type Conjugate Gradient Method for Unconstrained Optimization
title_full_unstemmed A Spectral Dai-Yuan-Type Conjugate Gradient Method for Unconstrained Optimization
title_sort spectral dai-yuan-type conjugate gradient method for unconstrained optimization
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2015-01-01
description A new spectral conjugate gradient method (SDYCG) is presented for solving unconstrained optimization problems in this paper. Our method provides a new expression of spectral parameter. This formula ensures that the sufficient descent condition holds. The search direction in the SDYCG can be viewed as a combination of the spectral gradient and the Dai-Yuan conjugate gradient. The global convergence of the SDYCG is also obtained. Numerical results show that the SDYCG may be capable of solving large-scale nonlinear unconstrained optimization problems.
url http://dx.doi.org/10.1155/2015/839659
work_keys_str_mv AT guanghuizhou aspectraldaiyuantypeconjugategradientmethodforunconstrainedoptimization
AT qinni aspectraldaiyuantypeconjugategradientmethodforunconstrainedoptimization
AT guanghuizhou spectraldaiyuantypeconjugategradientmethodforunconstrainedoptimization
AT qinni spectraldaiyuantypeconjugategradientmethodforunconstrainedoptimization
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