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A Descent Dai-Liao Conjugate Gradient Method Based on a Modified Secant Equation and Its Global Convergence
Joint Authors
Livieris, Ioannis E.
Pintelas, Panagiotis
Source
ISRN Computational Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-03-13
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
We propose a conjugate gradient method which is based on the study of the Dai-Liao conjugate gradient method.
An important property of our proposed method is that it ensures sufficient descent independent of the accuracy of the line search.
Moreover, it achieves a high-order accuracy in approximating the second-order curvature information of the objective function by utilizing the modified secant condition proposed by Babaie-Kafaki et al.
(2010).
Under mild conditions, we establish that the proposed method is globally convergent for general functions provided that the line search satisfies the Wolfe conditions.
Numerical experiments are also presented.
American Psychological Association (APA)
Livieris, Ioannis E.& Pintelas, Panagiotis. 2012. A Descent Dai-Liao Conjugate Gradient Method Based on a Modified Secant Equation and Its Global Convergence. ISRN Computational Mathematics،Vol. 2012, no. 2012, pp.1-8.
https://search.emarefa.net/detail/BIM-472037
Modern Language Association (MLA)
Livieris, Ioannis E.& Pintelas, Panagiotis. A Descent Dai-Liao Conjugate Gradient Method Based on a Modified Secant Equation and Its Global Convergence. ISRN Computational Mathematics No. 2012 (2012), pp.1-8.
https://search.emarefa.net/detail/BIM-472037
American Medical Association (AMA)
Livieris, Ioannis E.& Pintelas, Panagiotis. A Descent Dai-Liao Conjugate Gradient Method Based on a Modified Secant Equation and Its Global Convergence. ISRN Computational Mathematics. 2012. Vol. 2012, no. 2012, pp.1-8.
https://search.emarefa.net/detail/BIM-472037
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-472037