On duality theory for non-convex semidefinite programming |
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Authors: | Wenyu Sun Chengjin Li Raimundo J. B. Sampaio |
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Affiliation: | (3) Dept. Combinatorics and Optimization Univ. Waterloo, Waterloo, Ontario, Canada |
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Abstract: | In this paper, with the help of convex-like function, we discuss the duality theory for nonconvex semidefinite programming. Our contributions are: duality theory for the general nonconvex semidefinite programming when Slater’s condition holds; perfect duality for a special case of the nonconvex semidefinite programming for which Slater’s condition fails. We point out that the results of Fan (Appl. Math. Lett. 18:1068–1073, 2005) can be regarded as a special case of our result. |
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