On Duality Theory for Non-Convex Semidefinite Programming

  • Chengjin Li
  • Wenyu Sun
  • Raimundo Sampaio
    • Categories Constrained Nonlinear Optimization, Semi-definite Programming Tags , , , , Short URL: https://optimization-online.org/?p=11345

    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 [2] can be regarded as a special case of our result.

    Citation

    Technical Report Optim-10, School of Mathematical Sciences, Nanjing Normal University, Nanjing 210046, China. December/2007.

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