Optimality Conditions in Nonlinear Convex Semidifinite Programming
Chen Xiu-hong · Journal of Huaiyin Teachers College · 2006
The optimality conditions in nonlinear convex semidefinite programming are considered.First,the definitions of generalized gradient and generalized directional derivative for nonlinear matrix function are introduced.Some properties are obtained when the matrix function is convex.Finally,optimality necessary and sufficient conditions for nonlinear convex semidefinite programming are proved.