NUMERICAL TOOLS FOR ANALYSIS AND SOLUTION OF FREDHOLM INTEGRAL-EQUATIONS OF THE 1ST KIND

被引：363

作者：

HANSEN, PC

机构：

[1] UNIC, Danish Computing Center for Research and Education, Technical University of Denmark

来源：

INVERSE PROBLEMS | 1992年 / 8卷 / 06期

关键词：

D O I：

10.1088/0266-5611/8/6/005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We survey several numerical tools that can be used for the analysis and solution of systems of linear algebraic equations derived from Fredholm integral equations of the first kind. These tools are based on the singular value decomposition (SVD) and the generalized SVD, and they allow the user to study many details of the integral equation. The tools also aids the user in choosing a good regularization parameter that balances the influence of regularization and perturbation errors.

引用

页码：849 / 872

页数：24

共 71 条

[1] SINGULAR-VALUES AND CONDITION NUMBERS OF GALERKIN MATRICES ARISING FROM LINEAR INTEGRAL-EQUATIONS OF THE 1ST KIND [J].