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A Nonmonotone Line Search Filter Algorithm for the System of Nonlinear Equations
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-09-04
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
We present a new iterative method based on the line search filter method with the nonmonotone strategy to solve the system of nonlinear equations.
The equations are divided into two groups; some equations are treated as constraints and the others act as the objective function, and the two groups are just updated at the iterations where it is needed indeed.
We employ the nonmonotone idea to the sufficient reduction conditions and filter technique which leads to a flexibility and acceptance behavior comparable to monotone methods.
The new algorithm is shown to be globally convergent and numerical experiments demonstrate its effectiveness.
American Psychological Association (APA)
Jin, Zhong& Wang, Yuqing. 2012. A Nonmonotone Line Search Filter Algorithm for the System of Nonlinear Equations. Mathematical Problems in Engineering،Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-1029875
Modern Language Association (MLA)
Jin, Zhong& Wang, Yuqing. A Nonmonotone Line Search Filter Algorithm for the System of Nonlinear Equations. Mathematical Problems in Engineering No. 2012 (2012), pp.1-15.
https://search.emarefa.net/detail/BIM-1029875
American Medical Association (AMA)
Jin, Zhong& Wang, Yuqing. A Nonmonotone Line Search Filter Algorithm for the System of Nonlinear Equations. Mathematical Problems in Engineering. 2012. Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-1029875
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1029875