TY - JOUR
T1 - Optimality Conditions of a Class of Special Nonsmooth Programming
AU - Sheng , Song-Bai
AU - Xu , Hui-Fu
JO - Journal of Computational Mathematics
VL - 6
SP - 791
EP - 800
PY - 2003
DA - 2003/12
SN - 21
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/10235.html
KW - Generalized gradient, Directional derivative, Optimality conditions, Nonsmooth programming.
AB - <p style="text-align: justify;">In this paper, we investigate the optimality conditions of a class of special nonsmooth programming $\min F(x)=\sum\limits_{i=1}^m|\max\{f_i(x),c_i\}|$ which arises from $L_1-$norm optimization, where $c_i\in R$ is constant and $f_i\in C^1,i=1,2,\cdots,m.$ These conditions can easily be tested by computer.</p>