拟可微方程组牛顿法的二次收敛性  

Newton methods for quasidifferentiable equations and their quadratic convergence

作　　者：于淼[1] 高岩[1] 

机构地区：[1]上海理工大学管理学院,上海200093

出　　处：《上海理工大学学报》2009年第4期354-357,361,共5页Journal of University of Shanghai For Science and Technology

基　　金：国家自然科学基金资助项目(10671126);上海市重点学科建设资助项目(S30501)

摘　　要：利用拟微分讨论了拟可微方程组的牛顿法和不精确牛顿法.引入了拟可微函数的拟强半光滑性.在拟强半光滑的前提下,证明了牛顿法和不精确牛顿法的二次收敛性.The Newton method and the inexact Newton method for solving quasidifferentiable equations via the quasidifferentiation were investigated.The notion of strong Q-semismoothness for a quasidifferentiable function was proposed.The quadratic convergence of the Newton method and inexact Newton method was proved under the strong Q-semismoothness assumption.

关 键 词：拟可微方程组 拟强半光滑 牛顿法 不精确牛顿法 二次收敛 

分 类 号：O242.23[理学—计算数学]