CAJ | 학술논문

提出了非线性半定规划的雅可比唯一性条件，证明在这一条件下，刻画 KKT 条件的映射在KKT点处导数是非奇异的。在雅可比唯一性条件下，证明了非线性半定规划的稳定性定理并建立了下层为非线性半定优化问题的一类特殊双层规划的必要性最优条件。
제출료비선성반정규화적아가비유일성조건，증명재저일조건하，각화 KKT 조건적영사재KKT점처도수시비기이적。재아가비유일성조건하，증명료비선성반정규화적은정성정리병건립료하층위비선성반정우화문제적일류특수쌍층규화적필요성최우조건。
Jacobian uniqueness conditions for nonlinear semidefinite programming are presented, under which,the mapping characterizing the KKT conditions is demonstrated to have a nonsingular derivative at the KKT point. Under the Jacobian uniqueness conditions, stability theorem for nonlinear semidefinite programming is proved and the necessary optimality conditions for a special bi-level program,whose lower level problem is a nonlinear semidefinite optimization problem,are established.