Differential Properties of the Symmetric Matrix-Valued Fischer-Burmeister Function

Liwei Zhang (), Ning Zhang and Liping Pang
Additional contact information
Liwei Zhang: Dalian University of Technology
Ning Zhang: Dalian University of Technology
Liping Pang: Dalian University of Technology

Journal of Optimization Theory and Applications, 2012, vol. 153, issue 2, No 11, 436-460

Abstract: Abstract This paper focuses on the study of differential properties of the symmetric matrix-valued Fischer–Burmeister (FB) function. As the main results, the formulas for the directional derivative, the B-subdifferential and the generalized Jacobian of the symmetric matrix-valued Fischer–Burmeister function are established, which can be utilized in designing implementable Newton-type algorithms for nonsmooth equations involving the symmetric matrix-valued FB function.

Keywords: Fischer–Burmeister function; Directional derivative; B-subdifferential; Generalized Jacobian (search for similar items in EconPapers)
Date: 2012
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s10957-011-9962-8 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:joptap:v:153:y:2012:i:2:d:10.1007_s10957-011-9962-8

Ordering information: This journal article can be ordered from
http://www.springer. ... cs/journal/10957/PS2

DOI: 10.1007/s10957-011-9962-8

Access Statistics for this article

Journal of Optimization Theory and Applications is currently edited by Franco Giannessi and David G. Hull

More articles in Journal of Optimization Theory and Applications from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().