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论文类型：期刊论文
发表时间：2012-05-01
发表刊物：JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
收录刊物：SCIE、Scopus
卷号：153
期号：2
页面范围：436-460
ISSN号：0022-3239
关键字：Fischer-Burmeister function; Directional derivative; B-subdifferential;
Generalized Jacobian
摘要：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.
