invex function

On Duality Theory for Non-Convex Semidefinite Programming

  • Chengjin Li
  • Wenyu Sun
  • Raimundo Sampaio
    • Categories Constrained Nonlinear Optimization, Semi-definite Programming Tags , , , ,

    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 … Read more

    Further Study on Strong Lagrangian Duality Property for Invex Programs via Penalty Functions

  • X. X. Huang
  • J. Zhang
    • Categories Generalized Convexity/Monoticity, Nonlinear Optimization Tags , , , ,

    In this paper, we apply the quadratic penalization technique to derive strong Lagrangian duality property for an inequality constrained invex program. Our results extend and improve the corresponding results in the literature. Citation Bazara, M. S. and Shetty, C. M., Nonlinear Programming Theory and Algorithms, John Wiley \& Sons, New York, 1979. Ben-Israel, A. and … Read more