The Jacobian Consistency of a One-Parametric Class of Smoothing Functions for SOCCP
Joint Authors
Hao, Zijun
Chi, Xiaoni
Wan, Zhongping
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-06-10
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
Second-order cone (SOC) complementarity functions and their smoothing functions have been much studied in the solution of second-order cone complementarity problems (SOCCP).
In this paper, we study the directional derivative and B-subdifferential of the one-parametric class of SOC complementarity functions, propose its smoothing function, and derive the computable formula for the Jacobian of the smoothing function.
Based on these results, we prove the Jacobian consistency of the one-parametric class of smoothing functions, which will play an important role for achieving the rapid convergence of smoothing methods.
Moreover, we estimate the distance between the subgradient of the one-parametric class of the SOC complementarity functions and the gradient of its smoothing function, which will help to adjust a parameter appropriately in smoothing methods.
American Psychological Association (APA)
Chi, Xiaoni& Wan, Zhongping& Hao, Zijun. 2013. The Jacobian Consistency of a One-Parametric Class of Smoothing Functions for SOCCP. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-512086
Modern Language Association (MLA)
Chi, Xiaoni…[et al.]. The Jacobian Consistency of a One-Parametric Class of Smoothing Functions for SOCCP. Abstract and Applied Analysis No. 2013 (2013), pp.1-12.
https://search.emarefa.net/detail/BIM-512086
American Medical Association (AMA)
Chi, Xiaoni& Wan, Zhongping& Hao, Zijun. The Jacobian Consistency of a One-Parametric Class of Smoothing Functions for SOCCP. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-512086
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-512086