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A New Conjugate Gradient Projection Method for Convex Constrained Nonlinear Equations
Joint Authors
Jian, Jinbao
Liu, Pengjie
Jiang, Xianzhen
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-07-09
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
The conjugate gradient projection method is one of the most effective methods for solving large-scale monotone nonlinear equations with convex constraints.
In this paper, a new conjugate parameter is designed to generate the search direction, and an adaptive line search strategy is improved to yield the step size, and then, a new conjugate gradient projection method is proposed for large-scale monotone nonlinear equations with convex constraints.
Under mild conditions, the proposed method is proved to be globally convergent.
A large number of numerical experiments for the presented method and its comparisons are executed, which indicates that the presented method is very promising.
Finally, the proposed method is applied to deal with the recovery of sparse signals.
American Psychological Association (APA)
Liu, Pengjie& Jian, Jinbao& Jiang, Xianzhen. 2020. A New Conjugate Gradient Projection Method for Convex Constrained Nonlinear Equations. Complexity،Vol. 2020, no. 2020, pp.1-14.
https://search.emarefa.net/detail/BIM-1144227
Modern Language Association (MLA)
Liu, Pengjie…[et al.]. A New Conjugate Gradient Projection Method for Convex Constrained Nonlinear Equations. Complexity No. 2020 (2020), pp.1-14.
https://search.emarefa.net/detail/BIM-1144227
American Medical Association (AMA)
Liu, Pengjie& Jian, Jinbao& Jiang, Xianzhen. A New Conjugate Gradient Projection Method for Convex Constrained Nonlinear Equations. Complexity. 2020. Vol. 2020, no. 2020, pp.1-14.
https://search.emarefa.net/detail/BIM-1144227
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1144227