Year: 2003
Author: Song-Bai Sheng, Hui-fu Xu
Journal of Computational Mathematics, Vol. 21 (2003), Iss. 6 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2003-JCM-10235
Journal of Computational Mathematics, Vol. 21 (2003), Iss. 6 : pp. 791–800
Published online: 2003-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 10
Keywords: Generalized gradient Directional derivative Optimality conditions Nonsmooth programming.