%0 Journal Article
%T An Active-set Trust Region Method for Nonlinear System<br>求解非线性系统的有效集信赖域方法
%A Wang Changyu
%A Yu Zhensheng
%A <br>王长钰
%A 宇振盛
%J 数学物理学报(A辑)
%D 2006
%I 
%X In this paper, the authors present a trust region method for nonlinear system. The main idea of this paper is that by introducting slack variables, the authors transformate the problem into a nonlinear optimization with nonnegative constraints. By using active set strategy, the authors need only to solve a reduced trust region subproblem which is solved inexactly by the truncated conjugate gradient method. Under weak conditions, the authors obtain a general convergence result.
%K Nonlinear system
%K Active-set trust region method
%K Truncated conjugate gradient method<br>非线性系统
%K 有效集信赖域方法
%K 截断共轭梯度法
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=4DB553CDB5F521D8C921082E5C95EC80&aid=260041A9BFE09B17&yid=37904DC365DD7266&vid=96C778EE049EE47D&iid=0B39A22176CE99FB&sid=E089FDF3CDAE8561&eid=E1D946F217E3B046&journal_id=1003-3998&journal_name=数学物理学报(A辑)&referenced_num=0&reference_num=17