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无约束多目标优化的一种新的下降算法
引用本文:张诗诗,徐尔.无约束多目标优化的一种新的下降算法[J].信阳师范学院学报(自然科学版),2014(4):499-501.
作者姓名:张诗诗  徐尔
作者单位:北京科技大学 数理学院,北京,100083
摘    要:基于无约束多目标的最速下降法,提出了无约束多目标优化问题的一种新的下降算法,并证明了该算法在Armijo线性搜索下的收敛性.数据试验结果验证了该算法的有效性.

关 键 词:多目标优化  最速下降法  Armijo线性搜索  Pareto-临界点

A New Descent Algorithm for Unconstrained Multiobjective Programming
Zhang Shishi,Xu Er.A New Descent Algorithm for Unconstrained Multiobjective Programming[J].Journal of Xinyang Teachers College(Natural Science Edition),2014(4):499-501.
Authors:Zhang Shishi  Xu Er
Institution:Zhang Shishi;Xu Er;Department of Mathematics and Mechanics,Beijing University of Science and Techonlogy;
Abstract:Based on the steepest descent method for multicriteria optimization,a new descent algorithm for multiobjective programming without constraints was presented,and its convergence under Armijo line search was proved.Numerical results showed that the proposed method was efficient.
Keywords:multiobjective programming  steepest descent method  Armijo line search  Pareto critical
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