摘要
In this paper,we study optimization problems with the sparsity constraints.Firstly we give the expressions of the Mordukhovich(the limiting)normal cone of sparsity constraint and its intersection with a polyhedral set,and then based on these expressions we present the first-order necessary conditions for sparsity constrained optimization.
基金
supported by the National Natural Sciences Foundation of China(No.11371116)
Innovation Foundation for Graduate Students of Harbin Normal University(No.HSDSSCX2015-28).
