An iterative scheme for solving nonlinear equations with monotone operators

被引：12

作者：

Hoang, N. S. ^{[1
]}

Ramm, A. G. ^{[1
]}

机构：

[1] Kansas State Univ, Dept Math, Manhattan, KS 66502 USA

来源：

BIT NUMERICAL MATHEMATICS | 2008年 / 48卷 / 04期

关键词：

Dynamical systems method (DSM); nonlinear operator equations; monotone operators; discrepancy principle;

D O I：

10.1007/s10543-008-0199-3

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

An iterative scheme for solving ill-posed nonlinear operator equations with monotone operators is introduced and studied in this paper. A discrete version of the Dynamical Systems Method (DSM) algorithm for stable solution of ill-posed operator equations with monotone operators is proposed and its convergence is proved. A discrepancy principle is proposed and justified. A priori and a posteriori stopping rules for the iterative scheme are formulated and justified.

引用

页码：725 / 741

页数：17

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