@Article{JCM-21-791, author = {Sheng , Song-Bai and Xu , Hui-Fu}, title = {Optimality Conditions of a Class of Special Nonsmooth Programming}, journal = {Journal of Computational Mathematics}, year = {2003}, volume = {21}, number = {6}, pages = {791--800}, abstract = {

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.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/10235.html} }