A Three-Term Conjugate Gradient Algorithm with Quadratic Convergence for Unconstrained Optimization Problems
Joint Authors
Wu, Gaoyi
Li, Yong
Yuan, Gonglin
Source
Mathematical Problems in Engineering
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-06-27
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
This paper further studies the WYL conjugate gradient (CG) formula with βkWYL≥0 and presents a three-term WYL CG algorithm, which has the sufficiently descent property without any conditions.
The global convergence and the linear convergence are proved; moreover the n-step quadratic convergence with a restart strategy is established if the initial step length is appropriately chosen.
Numerical experiments for large-scale problems including the normal unconstrained optimization problems and the engineer problems (Benchmark Problems) show that the new algorithm is competitive with the other similar CG algorithms.
American Psychological Association (APA)
Wu, Gaoyi& Li, Yong& Yuan, Gonglin. 2018. A Three-Term Conjugate Gradient Algorithm with Quadratic Convergence for Unconstrained Optimization Problems. Mathematical Problems in Engineering،Vol. 2018, no. 2018, pp.1-15.
https://search.emarefa.net/detail/BIM-1207700
Modern Language Association (MLA)
Wu, Gaoyi…[et al.]. A Three-Term Conjugate Gradient Algorithm with Quadratic Convergence for Unconstrained Optimization Problems. Mathematical Problems in Engineering No. 2018 (2018), pp.1-15.
https://search.emarefa.net/detail/BIM-1207700
American Medical Association (AMA)
Wu, Gaoyi& Li, Yong& Yuan, Gonglin. A Three-Term Conjugate Gradient Algorithm with Quadratic Convergence for Unconstrained Optimization Problems. Mathematical Problems in Engineering. 2018. Vol. 2018, no. 2018, pp.1-15.
https://search.emarefa.net/detail/BIM-1207700
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1207700