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A Scaled Conjugate Gradient Method for Solving Monotone Nonlinear Equations with Convex Constraints
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-11-25
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
Based on the Scaled conjugate gradient (SCALCG) method presented by Andrei (2007) and the projection method presented by Solodov and Svaiter, we propose a SCALCG method for solving monotone nonlinear equations with convex constraints.
SCALCG method can be regarded as a combination of conjugate gradient method and Newton-type method for solving unconstrained optimization problems.
So, it has the advantages of the both methods.
It is suitable for solving large-scale problems.
So, it can be applied to solving large-scale monotone nonlinear equations with convex constraints.
Under reasonable conditions, we prove its global convergence.
We also do some numerical experiments show that the proposed method is efficient and promising.
American Psychological Association (APA)
Wang, Sheng& Guan, Hongbo. 2013. A Scaled Conjugate Gradient Method for Solving Monotone Nonlinear Equations with Convex Constraints. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-460481
Modern Language Association (MLA)
Wang, Sheng& Guan, Hongbo. A Scaled Conjugate Gradient Method for Solving Monotone Nonlinear Equations with Convex Constraints. Journal of Applied Mathematics No. 2013 (2013), pp.1-7.
https://search.emarefa.net/detail/BIM-460481
American Medical Association (AMA)
Wang, Sheng& Guan, Hongbo. A Scaled Conjugate Gradient Method for Solving Monotone Nonlinear Equations with Convex Constraints. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-460481
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-460481