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AN EQUIVALENCY CONDITION OF NONSINGULARITY IN NONLINEAR SEMIDEFINITE PROGRAMMING

AN EQUIVALENCY CONDITION OF NONSINGULARITY IN NONLINEAR SEMIDEFINITE PROGRAMMING
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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.
出处 《Journal of Systems Science & Complexity》 SCIE EI CSCD 2010年第4期822-829,共8页 系统科学与复杂性学报(英文版)
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.
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