Convergence properties of the dependent PRP conjugate gradient methods

Shujun Lian; Changyu Wang; Lixia Cao

doi:10.1007/s11424-006-0288-9

Convergence properties of the dependent PRP conjugate gradient methods

Shujun Lian^*, Changyu Wang, Lixia Cao

^*Corresponding author for this work

Research output: Contribution to journal › Journal Article › peer-review

1 Scopus citations

Abstract

In this paper, a new region of β _k with respect to β _k ^PRP is given. With two Armijo-type line searches, the authors investigate the global convergence properties of the dependent PRP conjugate gradient methods, which extend the global convergence results of PRP conjugate gradient method proved by Grippo and Lucidi (1997) and Dai and Yuan (2002).

Original language	English
Pages (from-to)	288-296
Number of pages	9
Journal	Journal of Systems Science and Complexity
Volume	19
Issue number	2
DOIs	https://doi.org/10.1007/s11424-006-0288-9
State	Published - 06 2006
Externally published	Yes

Keywords

Conjugate gradient
Convergence property
Line search

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10.1007/s11424-006-0288-9

Cite this

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title = "Convergence properties of the dependent PRP conjugate gradient methods",

abstract = "In this paper, a new region of β k with respect to β k PRP is given. With two Armijo-type line searches, the authors investigate the global convergence properties of the dependent PRP conjugate gradient methods, which extend the global convergence results of PRP conjugate gradient method proved by Grippo and Lucidi (1997) and Dai and Yuan (2002).",

keywords = "Conjugate gradient, Convergence property, Line search",

author = "Shujun Lian and Changyu Wang and Lixia Cao",

year = "2006",

month = jun,

doi = "10.1007/s11424-006-0288-9",

language = "英语",

volume = "19",

pages = "288--296",

journal = "Journal of Systems Science and Complexity",

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publisher = "Springer New York",

number = "2",

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T1 - Convergence properties of the dependent PRP conjugate gradient methods

AU - Lian, Shujun

AU - Wang, Changyu

AU - Cao, Lixia

PY - 2006/6

Y1 - 2006/6

N2 - In this paper, a new region of β k with respect to β k PRP is given. With two Armijo-type line searches, the authors investigate the global convergence properties of the dependent PRP conjugate gradient methods, which extend the global convergence results of PRP conjugate gradient method proved by Grippo and Lucidi (1997) and Dai and Yuan (2002).

AB - In this paper, a new region of β k with respect to β k PRP is given. With two Armijo-type line searches, the authors investigate the global convergence properties of the dependent PRP conjugate gradient methods, which extend the global convergence results of PRP conjugate gradient method proved by Grippo and Lucidi (1997) and Dai and Yuan (2002).

KW - Conjugate gradient

KW - Convergence property

KW - Line search

UR - http://www.scopus.com/inward/record.url?scp=33748934257&partnerID=8YFLogxK

U2 - 10.1007/s11424-006-0288-9

DO - 10.1007/s11424-006-0288-9

M3 - 文章

AN - SCOPUS:33748934257

SN - 1009-6124

VL - 19

SP - 288

EP - 296

JO - Journal of Systems Science and Complexity

JF - Journal of Systems Science and Complexity

IS - 2

ER -

Convergence properties of the dependent PRP conjugate gradient methods

Abstract

Keywords

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