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Nonsingularity Conditions for FB System of Reformulating Nonlinear Second-Order Cone Programming
Joint Authors
Bi, Shujun
Chen, Jein-Shan
Pan, Shaohua
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-21, 21 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-03-11
Country of Publication
Egypt
No. of Pages
21
Main Subjects
Abstract EN
This paper is a counterpart of Bi et al., 2011.
For a locally optimal solution to the nonlinear second-order cone programming (SOCP), specifically, under Robinson’s constraint qualification, we establish the equivalence among the following three conditions: the nonsingularity of Clarke’s Jacobian of Fischer-Burmeister (FB) nonsmooth system for the Karush-Kuhn-Tucker conditions, the strong second-order sufficient condition and constraint nondegeneracy, and the strong regularity of the Karush-Kuhn-Tucker point.
American Psychological Association (APA)
Pan, Shaohua& Bi, Shujun& Chen, Jein-Shan. 2013. Nonsingularity Conditions for FB System of Reformulating Nonlinear Second-Order Cone Programming. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-21.
https://search.emarefa.net/detail/BIM-484209
Modern Language Association (MLA)
Pan, Shaohua…[et al.]. Nonsingularity Conditions for FB System of Reformulating Nonlinear Second-Order Cone Programming. Abstract and Applied Analysis No. 2013 (2013), pp.1-21.
https://search.emarefa.net/detail/BIM-484209
American Medical Association (AMA)
Pan, Shaohua& Bi, Shujun& Chen, Jein-Shan. Nonsingularity Conditions for FB System of Reformulating Nonlinear Second-Order Cone Programming. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-21.
https://search.emarefa.net/detail/BIM-484209
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-484209