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Two Modified Three-Term Type Conjugate Gradient Methods and Their Global Convergence for Unconstrained Optimization
Joint Authors
Sun, Zhongbo
Tian, Yantao
Li, Hongyang
Source
Mathematical Problems in Engineering
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-11-23
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
Two modified three-term type conjugate gradient algorithms which satisfy both the descent condition and the Dai-Liao type conjugacy condition are presented for unconstrained optimization.
The first algorithm is a modification of the Hager and Zhang type algorithm in such a way that the search direction is descent and satisfies Dai-Liao’s type conjugacy condition.
The second simple three-term type conjugate gradient method can generate sufficient decent directions at every iteration; moreover, this property is independent of the steplength line search.
Also, the algorithms could be considered as a modification of the MBFGS method, but with different zk.
Under some mild conditions, the given methods are global convergence, which is independent of the Wolfe line search for general functions.
The numerical experiments show that the proposed methods are very robust and efficient.
American Psychological Association (APA)
Sun, Zhongbo& Tian, Yantao& Li, Hongyang. 2014. Two Modified Three-Term Type Conjugate Gradient Methods and Their Global Convergence for Unconstrained Optimization. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1044222
Modern Language Association (MLA)
Sun, Zhongbo…[et al.]. Two Modified Three-Term Type Conjugate Gradient Methods and Their Global Convergence for Unconstrained Optimization. Mathematical Problems in Engineering No. 2014 (2014), pp.1-9.
https://search.emarefa.net/detail/BIM-1044222
American Medical Association (AMA)
Sun, Zhongbo& Tian, Yantao& Li, Hongyang. Two Modified Three-Term Type Conjugate Gradient Methods and Their Global Convergence for Unconstrained Optimization. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1044222
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1044222