关于多目标规划信赖域算法收敛的判别准则研究

The Judging Criterion Study for Multiobjective Programming Trust Region Algorithm Convergence

通过对多目标规划的传统算法和非线性规划信赖域算法的深入研究，提出了与多目标规划问题有关的两个重要函数，并找到了它们与多目标规划问题解之间的密切关系，从而为多目标规划的算法找到了一个恰当的停止准则，为构造多目标规划的信赖域算法提供了理论基础．

In this paper,the authors present two important functions concerning with multiobjective programming problems and find close relationship between them by a deep study for traditional multiobjective programming algorithms and nonlinear programming trust region algorithms.Those lead to a suitable stopping criterion for multiobjective algorithms and provide a theoritical basis for constructing multiobjective trust region algorithms. [