Solving ill-conditioned linear algebraic systems by the dynamical systems method

被引：19

作者：

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

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

机构：

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

来源：

INVERSE PROBLEMS IN SCIENCE AND ENGINEERING | 2008年 / 16卷 / 05期

关键词：

ill-posed problems; ill-conditioned linear algebraic systems; dynamical systems method (DSM);

D O I：

10.1080/17415970701743335

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

An iterative scheme for the dynamical systems method (DSM) is given, such that one does not have to solve the Cauchy problem occuring in the application of the DSM for solving ill-conditioned Linear Algebraic Systems (LAS). The novelty of the algorithm is that the algorithm does not have to find the regularization parameter by solving a nonlinear equation. Numerical experiments show that DSM competes favorably with the variational regularization.

引用

页码：617 / 630

页数：14

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