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A Nonmonotone Projection Method for Constrained System of Nonlinear Equations
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-01-18
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Abstract EN
This paper deals with the nonmonotone projection algorithm for constrained nonlinear equations.
For some starting points, the previous projection algorithms for the problem may encounter slow convergence which is related to the monotone behavior of the iterative sequence as well as the iterative direction.
To circumvent this situation, we adopt the nonmonotone technique introduced by Dang to develop a nonmonotone projection algorithm.
After constructing the nonmonotone projection algorithm, we show its convergence under some suitable condition.
Preliminary numerical experiment is reported at the end of this paper, from which we can see that the algorithm we propose converges more quickly than that of the usual projection algorithm for some starting points.
American Psychological Association (APA)
Dang, Yazheng& Liu, Wenwen. 2017. A Nonmonotone Projection Method for Constrained System of Nonlinear Equations. Mathematical Problems in Engineering،Vol. 2017, no. 2017, pp.1-5.
https://search.emarefa.net/detail/BIM-1192276
Modern Language Association (MLA)
Dang, Yazheng& Liu, Wenwen. A Nonmonotone Projection Method for Constrained System of Nonlinear Equations. Mathematical Problems in Engineering No. 2017 (2017), pp.1-5.
https://search.emarefa.net/detail/BIM-1192276
American Medical Association (AMA)
Dang, Yazheng& Liu, Wenwen. A Nonmonotone Projection Method for Constrained System of Nonlinear Equations. Mathematical Problems in Engineering. 2017. Vol. 2017, no. 2017, pp.1-5.
https://search.emarefa.net/detail/BIM-1192276
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1192276