An Improved Line Search Filter Method for the System of Nonlinear Equations
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-11-06
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
An improved line search filter algorithm for the system of nonlinear equations is presented.
We divide the equations into two groups, one contains the equations that are treated as equality constraints and the square of other equations is regarded as objective function.
Two groups of equations are updated at every iteration in the works by Nie (2004, 2006, and 2006), by Nie et al.
(2008), and by Gu (2011), while we just update them at the iterations when it is needed indeed.
As a consequence, the scale of the calculation is decreased in a certain degree.
Under some suitable conditions the global convergence can be induced.
In the end, numerical experiments show that the method in this paper is effective.
American Psychological Association (APA)
Jin, Zhong& Wang, Yuqing. 2012. An Improved Line Search Filter Method for the System of Nonlinear Equations. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-1028797
Modern Language Association (MLA)
Jin, Zhong& Wang, Yuqing. An Improved Line Search Filter Method for the System of Nonlinear Equations. Journal of Applied Mathematics No. 2012 (2012), pp.1-15.
https://search.emarefa.net/detail/BIM-1028797
American Medical Association (AMA)
Jin, Zhong& Wang, Yuqing. An Improved Line Search Filter Method for the System of Nonlinear Equations. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-1028797
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1028797