带有二次约束的一些非凸二次规划问题的全局最优性条件

利用Z.Y.W u等人最近提出的一种新的研究全局优化问题的全局最优性条件的方法,研究了一些带有二次约束的非凸二次规划问题的全局最优性条件,得到了一些带有二次约束的非凸二次规划问题的全局最优性充分条件,同时也得到了一些无约束非凸二次规划问题的全局最优性充分条件,并证明了在一些特殊情况下,本文的一些结果与文献中的一些结论是一致的。在有些情况下,本文的有些结果还推广了现有文献中的一些结论。

Sufficient Global Optimality Conditions for Some Nonconvex Quadratic Program Problems with Quadraitc Constraints

In this paper we study the global optimality conditions for some nonconvex quadratic program problems with quadratic constraints by using a new approach to establish sufficient global conditions suggested by Z.Y.Wu recently,and obtain some sufficient global optimality conditions for some nonconvex quadratic programs with quadratic constraints and derive some sufficient global optimality conditions of some nonconvex unconstrained quadratic programs at the same time.We also prove that,in some special cases,some results obtained in this paper are equivalent to the results in some references and even extend some corresponding results in some references in present information.