Jacobian Nonsingularity in Nonlinear Symmetric Conic Programming Problems and Its Application
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-12-31
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
This paper considers the nonlinear symmetric conic programming (NSCP) problems.
Firstly, a type of strong sufficient optimality condition for NSCP problems in terms of a linear-quadratic term is introduced.
Then, a sufficient condition of the nonsingularity of Clarke’s generalized Jacobian of the Karush–Kuhn–Tucker (KKT) system is demonstrated.
At last, as an application, this property is used to obtain the local convergence properties of a sequential quadratic programming- (SQP-) type method.
American Psychological Association (APA)
Wang, Yun& Kong, Dezhou. 2020. Jacobian Nonsingularity in Nonlinear Symmetric Conic Programming Problems and Its Application. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1201617
Modern Language Association (MLA)
Wang, Yun& Kong, Dezhou. Jacobian Nonsingularity in Nonlinear Symmetric Conic Programming Problems and Its Application. Mathematical Problems in Engineering No. 2020 (2020), pp.1-9.
https://search.emarefa.net/detail/BIM-1201617
American Medical Association (AMA)
Wang, Yun& Kong, Dezhou. Jacobian Nonsingularity in Nonlinear Symmetric Conic Programming Problems and Its Application. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1201617
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1201617