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- Title
An Improved Line Search Filter Method for the System of Nonlinear Equations.
- Authors
Zhong Jin; Yuqing Wang
- Abstract
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.
- Subjects
NONLINEAR equations; NONLINEAR systems; SEARCH algorithms; GROUP theory; MATHEMATICAL inequalities; ITERATIVE methods (Mathematics); STOCHASTIC convergence
- Publication
Journal of Applied Mathematics, 2012, p1
- ISSN
1110-757X
- Publication type
Article
- DOI
10.1155/2012/273141