An equivalency condition of nonsingularity in nonlinear semidefinite programming |
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| Authors: | Chengjin Li Wenyu Sun Raimundo J. B. de Sampaio |
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| Affiliation: | 1.School of Mathematical Sciences,Nanjing Normal University,Nanjing,China;2.School of Mathematics and Computer Science,Fujian Normal University,Fuzhou,China;3.Pontifical Catholic University of Parana (PUCPR),Graduate Program in Production and Systems Engineering (PPGEPS),Curitiba, Parana,Brazil |
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| Abstract: | 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. |
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