摘 、非线性方程组、非线性不等式组、多目标规划等数学问题有密切的联系,而且还在物理学、机械设计、自动控制、经济管理、,,介绍了极大极小问题、序列二次规划算法的历史、研究现状,,,给出了一个可行的序列二次规划(SQP)算法,在每次迭代中,,,,,提出了一个可行的序列二次规划算法,,,对上述两个算法进行了数值实验,实验结果充分表明,,对全文作了总结,:极大极小问题;SQP算法;光滑技术;全局收敛;超线性收敛万方数据I–,suchasnonlinearprogram,nonlinearequations,nonlinearinequalitiesandmultiob-jectiveprogram,butalsohasapplicationsinphysics,mechanicaldesign,ontrol,economicmanagement,socialpolitics,militaryguidance,,,weintroducetheresearchdevelopmentofminimaxproblem,sequen-tialquadraticprogrammingalgorithm,,wediscussaclassofthenonlinearproblemswithinequalitycon-biningnorm-relaxedmethodoffeasibledirectionandmonotonelinesearchtechnique,,afeasibledescentdirectionisobtainedbysolvingonlyonequadraticprogramming(QP).Inor-dertoavoidMaratoseffect,ahigh-,thealgorithmhasglobalandsuper-,wegoondiscussingthenonlinearproblemswithinequalitycon-biningsmoothingtechnologyandSQPalgorithm,,,theoreticalanalysisshowsthatthealgorithmisglobalandsuper-,wemakesomenumericalexperimentstotheabovealgorithms,andtheresultssho
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