期刊
JOURNAL OF GLOBAL OPTIMIZATION
卷 21, 期 1, 页码 39-50出版社
KLUWER ACADEMIC PUBL
DOI: 10.1023/A:1017970111378
关键词
nonconvex constrained optimization; saddle point; dual method; p-th power formulation; global solution
The existence of a saddle point in nonconvex constrained optimization problems is considered in this paper. We show that, under some mild conditions, the existence of a saddle point can be ensured in an equivalent p-th power formulation for a general class of nonconvex constrained optimization problems. This result expands considerably the class of optimization problems where a saddle point exists and thus enlarges the family of nonconvex problems that can be solved by dual-search methods.
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