A Two-Parametric Class of Merit Functions for the Second-Order Cone Complementarity Problem
Joint Authors
Hao, Zijun
Chi, Xiaoni
Wan, Zhongping
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-06-13
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
We propose a two-parametric class of merit functions for the second-order cone complementarity problem (SOCCP) based on the one-parametric class of complementarity functions.
By the new class of merit functions, the SOCCP can be reformulated as an unconstrained minimization problem.
The new class of merit functions is shown to possess some favorable properties.
In particular, it provides a global error bound if F and G have the joint uniform Cartesian P-property.
And it has bounded level sets under a weaker condition than the most available conditions.
Some preliminary numerical results for solving the SOCCPs show the effectiveness of the merit function method via the new class of merit functions.
American Psychological Association (APA)
Chi, Xiaoni& Wan, Zhongping& Hao, Zijun. 2013. A Two-Parametric Class of Merit Functions for the Second-Order Cone Complementarity Problem. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-481714
Modern Language Association (MLA)
Chi, Xiaoni…[et al.]. A Two-Parametric Class of Merit Functions for the Second-Order Cone Complementarity Problem. Journal of Applied Mathematics No. 2013 (2013), pp.1-10.
https://search.emarefa.net/detail/BIM-481714
American Medical Association (AMA)
Chi, Xiaoni& Wan, Zhongping& Hao, Zijun. A Two-Parametric Class of Merit Functions for the Second-Order Cone Complementarity Problem. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-481714
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-481714
