A Novel Filled Function Method for Nonlinear Equations
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-06-12
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
A novel filled function method is suggested for solving box-constrained systems of nonlinear equations.
Firstly, the original problem is converted into an equivalent global optimization problem.
Subsequently, a novel filled function with one parameter is proposed for solving the converted global optimization problem.
Some properties of the filled function are studied and discussed.
Finally, an algorithm based on the proposed novel filled function for solving systems of nonlinear equations is presented.
The objective function value can be reduced by quarter in each iteration of our algorithm.
The implementation of the algorithm on several test problems is reported with satisfactory numerical results.
American Psychological Association (APA)
Yuan, Liuyang& Tang, Qiuhua. 2014. A Novel Filled Function Method for Nonlinear Equations. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-457112
Modern Language Association (MLA)
Yuan, Liuyang& Tang, Qiuhua. A Novel Filled Function Method for Nonlinear Equations. Journal of Applied Mathematics No. 2014 (2014), pp.1-7.
https://search.emarefa.net/detail/BIM-457112
American Medical Association (AMA)
Yuan, Liuyang& Tang, Qiuhua. A Novel Filled Function Method for Nonlinear Equations. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-457112
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-457112