A Truncated Descent HS Conjugate Gradient Method and Its Global Convergence
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-07-15
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
Recently, Zhang (2006) proposed a three-term modified HS (TTHS) method for unconstrained optimization problems.
An attractive property of the TTHS method is that the direction generated by the method is always descent.
This property is independent of the line search used.
In order to obtain the global convergence of the TTHS method, Zhang proposed a truncated TTHS method.
A drawback is that the numerical performance of the truncated TTHS method is not ideal.
In this paper, we prove that the TTHS method with standard Armijo line search is globally convergent for uniformly convex problems.
Moreover, we propose a new truncated TTHS method.
Under suitable conditions, global convergence is obtained for the proposed method.
Extensive numerical experiment show that the proposed method is very efficient for the test problems from the CUTE Library.
American Psychological Association (APA)
Cheng, Wanyou& Zhang, Zongguo. 2009. A Truncated Descent HS Conjugate Gradient Method and Its Global Convergence. Mathematical Problems in Engineering،Vol. 2009, no. 2009, pp.1-13.
https://search.emarefa.net/detail/BIM-505352
Modern Language Association (MLA)
Cheng, Wanyou& Zhang, Zongguo. A Truncated Descent HS Conjugate Gradient Method and Its Global Convergence. Mathematical Problems in Engineering No. 2009 (2009), pp.1-13.
https://search.emarefa.net/detail/BIM-505352
American Medical Association (AMA)
Cheng, Wanyou& Zhang, Zongguo. A Truncated Descent HS Conjugate Gradient Method and Its Global Convergence. Mathematical Problems in Engineering. 2009. Vol. 2009, no. 2009, pp.1-13.
https://search.emarefa.net/detail/BIM-505352
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-505352