广义非线性互补问题的自适应信赖域方法  

A Slef-Adaptive Trust Region Method for Solving Generalized Nonlinear Complementarity Problems

作　　者：李红伟[1] 李锋[1] 

机构地区：[1]临沂师范学院数学系,山东临沂276005

出　　处：《淮阴师范学院学报（自然科学版）》2007年第2期92-95,共4页Journal of Huaiyin Teachers College;Natural Science Edition

基　　金：山东省自然科学基金资助项目(Y2005A12)

摘　　要：给出了一个求解广义非线性互补问题的自适应信赖域方法.在局部误差界的假设条件下,证明了算法具有全局收敛性和Q-二阶收敛性.This paper presents a self-adaptive trust region method for solving generalizodnonlinear comlementarity problems and proves the global convergence and convergence rate under mild conditions. The algorithm combines LMM method and self-adaptive trust region method and has many fine convergence properties.

关 键 词：广义非线性互补问题 自适应信赖域方法 全局收敛性 超线性收敛性 

分 类 号：O221.2[理学—运筹学与控制论]