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Optimality Conditions in Semidefinite Programming
Numerical Functional Analysis and Optimization, 2014Semidefinite positiveness of operators on Euclidean spaces is characterized. Using this characterization, we compute in a direct way the first-order and second-order tangent sets to the cone of semidefinite positive operators on such a space. These characterizations are useful for optimality conditions in semidefinite programming.
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Semidefinite Programming in the Space of Partial Positive Semidefinite Matrices
SIAM Journal on Optimization, 2003Summary: We build upon the work of \textit{M. Fukuda} et al. [SIAM J. Optim. 11, 647--674 (2001; Zbl 1010.90053)] and \textit{K. Nakata} et al. [Math. Program. 95, No. 2(B), 303--327 (2003; Zbl 1030.90081)], in which the theory of partial positive semidefinite matrices was applied to the semidefinite programming (SDP) problem as a technique for ...
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Semidefinite programming relaxations for semialgebraic problems
Mathematical programming, 2003P. Parrilo
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Optimality conditions and global convergence for nonlinear semidefinite programming
Mathematical programming, 2018R. Andreani, G. Haeser, Daiana S. Viana
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Joint Synchronization and Localization in Wireless Sensor Networks Using Semidefinite Programming
IEEE Internet of Things Journal, 2018Yanbin Zou, Huaping Liu, Q. Wan
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