THE CONJUGATE DUALITY OF NONLINEAR SEMIDEFINITE PROGRAMMING
Nonlinear semidefinite programming, as a generalization of nonlinear programming, has received considerable attention in recent years. In this paper, we consider the conjugate duality of nonlinear semidefinite programming and its weakly and strongly duality. At last, we present the conjugate dual problem of a semidefinite least-squares problem.
nonlinear semidefinite programming, conjugate dual, semidefinite least-squares problem.