| 弱L-平均条件下非精确牛顿型迭代法的半局部收敛性 |
| |
| 引用本文： | 刘涛,徐秀斌,肖媛.弱L-平均条件下非精确牛顿型迭代法的半局部收敛性[J].浙江师范大学学报(自然科学版),2012(4):395-400. |
| |
| 作者姓名： | 刘涛 徐秀斌 肖媛 |
| |
| 作者单位： | 浙江师范大学数理与信息工程学院 |
| |
| 摘 要： | 主要研究了在弱L-平均条件下非精确牛顿型迭代法在求解非线性算子方程时的半局部收敛性．这种弱L-平均条件包含了常用的Lipschitz条件作为特殊情形，故所得收敛结果具有一般性．
|
| 关 键 词： | 非线性算子方程 非精确牛顿型迭代法 半局部收敛 弱L-平均条件 |
Semilocal convergence of inexact Newton-type iteration under weak L-average condition |
| |
| LIU Tao,XU Xiubin,XIAO Yuan.Semilocal convergence of inexact Newton-type iteration under weak L-average condition[J].Journal of Zhejiang Normal University Natural Sciences,2012(4):395-400. |
| |
| Authors: | LIU Tao XU Xiubin XIAO Yuan |
| |
| Institution: | (College of Mathematics,Physics and Information Engineering,Zhejiang Normal University,Jinhua Zhejiang 321004,China) |
| |
| Abstract: | The semilocal convergence properties of the variants of inexact Newton-type iteration methods for nonlinear operator equations were studied under the hypothesis that the first derivative satisfies weak L-average conditions. These conditions included the usual Lipschitz condition as special cases. |
| |
| Keywords: | nonlinear operator equations inexact Newton-type iteration method semilocal convergence weak L-average condition |
| 本文献已被 CNKI 维普 等数据库收录！ |
