Nonlinear implicit iterative method for solving nonlinear ill-posed problems

被引：0

作者：

柳建军 ^{[1
,2
]}

贺国强 ^{[1
]}

康传刚 ^{[1
,3
]}

机构：

[1] Department of Mathematics, Shanghai University

[2] PetroChina Pipeline R&D Center

[3] Shandong University of Finance

来源：

Applied Mathematics and Mechanics(English Edition) | 2009年 / 30卷 / 09期

关键词：

nonlinear ill-posed problem; nonlinear implicit iterative method; monotonic-; ity; convergence;

D O I：

暂无

中图分类号：

O241.6 [线性代数的计算方法];

学科分类号：

070102 ;

摘要：

In the paper, we extend the implicit iterative method for linear ill-posed operator equations to solve nonlinear ill-posed problems. We show that under some conditions the error sequence of solutions of the nonlinear implicit iterative method is monotonically decreasing and, with this monotonicity, prove convergence of the new method for both the exact and perturbed equations.

引用

页码：1183 / 1192

页数：10

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