摘要
In this paper,an equivalency condition of nonsingularity in nonlinear semidefinite programming,which can be viewed as a generalization of the equivalency condition of nonsingularity for linearsemidefinite programming,is established under certain conditions of convexity.
In this paper, an equivalency condition of nonsingularity in nonlinear semidefinite programming, which can be viewed as a generalization of the equivalency condition of nonsingularity for linear semidefinite programming, is established under certain conditions of convexity.
基金
supported by the National Natural Science Foundation of China under Grant No. 10871098
the Natural Science Fund of Jiangsu Province under Grant No. BK2009397
the Innovation Fund of Youth of Fujian Province under Grant No. 2009J05003 and CNPq Brazil
关键词
非奇异性
半定规划
非线性
等效性
线性等价
凸性
Equivalency condition of nonsingularity, nonlinear semidefinite programming, semidefinite programming.