Global Convergence of a New Nonmonotone Filter Method for Equality Constrained Optimization
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-04-10
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
A new nonmonotone filter trust region method is introduced for solving optimization problems with equality constraints.
This method directly uses the dominated area of the filter as an acceptability criterion for trial points and allows the dominated area decreasing nonmonotonically.
Compared with the filter-type method, our method has more flexible criteria and can avoid Maratos effect in a certain degree.
Under reasonable assumptions, we prove that the given algorithm is globally convergent to a first order stationary point for all possible choices of the starting point.
Numerical tests are presented to show the effectiveness of the proposed algorithm.
American Psychological Association (APA)
Su, Ke& Liu, Wei& Lu, Xiaoli. 2013. Global Convergence of a New Nonmonotone Filter Method for Equality Constrained Optimization. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-512956
Modern Language Association (MLA)
Su, Ke…[et al.]. Global Convergence of a New Nonmonotone Filter Method for Equality Constrained Optimization. Journal of Applied Mathematics No. 2013 (2013), pp.1-9.
https://search.emarefa.net/detail/BIM-512956
American Medical Association (AMA)
Su, Ke& Liu, Wei& Lu, Xiaoli. Global Convergence of a New Nonmonotone Filter Method for Equality Constrained Optimization. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-512956
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-512956