首页 | 本学科首页   官方微博 | 高级检索  
     检索      

关于非线性不等式组Levenberg-Marquardt算法的收敛性(英文)
引用本文:何郁波,董晓亮.关于非线性不等式组Levenberg-Marquardt算法的收敛性(英文)[J].数学杂志,2012,32(1):25-34.
作者姓名:何郁波  董晓亮
作者单位:1. 怀化学院数学系,湖南怀化,418008
2. 北方民族大学信息与计算科学学院,宁夏银川,750021
基金项目:Supported by the Educational Office Foundation of Hunan Province (08C668);the Master,Doctor Foundation of Huaihua University
摘    要:本文研究了一类非线性不等式组的求解问题.利用一列目标函数两次可微的参数优化问题来逼近非线性不等式组的解,光滑Levenberg-Marquardt方法来求解参数优化问题,在一些较弱的条件下证明了文中算法的全局收敛性,数值实例显示文中算法效果较好.

关 键 词:非线性不等式组  Levenberg-Marquardt算法  全局收敛

ON THE CONVERGENCE OF LEVENBERG-MARQUARDT METHOD FOR NONLINEAR INEQUALITIES
HE Yu-bo , DONG Xiao-liang.ON THE CONVERGENCE OF LEVENBERG-MARQUARDT METHOD FOR NONLINEAR INEQUALITIES[J].Journal of Mathematics,2012,32(1):25-34.
Authors:HE Yu-bo  DONG Xiao-liang
Institution:1.Department of Mathematics,Huaihua University,Huaihua 418008,China)(2.School of Information and Computation Science,North University for Ethnics,Yinchuan 750021,China)
Abstract:In this article,we study the solutions for a class of nonlinear inequalities.The nonlinear inequalities are approximated by a family of parameterized optimization problems with twice continuously differentiable objective functions,then a smoothing Levenberg-Marquardt method is applied to solve the parameterized optimization problems.The global convergence of the proposed method is established under some weak conditions.Numerical results show that the method performs well.
Keywords:nonlinear inequalities  Levenberg-Marquardt method  global convergence
本文献已被 CNKI 万方数据 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号