Invertible smoothing preconditioners for linear discrete ill-posed problems

被引：42

作者：

Calvetti, D

Reichel, L ^{[1
]}

Shuibi, A

机构：

[1] Kent State Univ, Dept Math Sci, Kent, OH 44242 USA

[2] Case Western Reserve Univ, Dept Math, Cleveland, OH 44106 USA

[3] De Paul Univ, Dept Math Sci, Chicago, IL 60614 USA

来源：

APPLIED NUMERICAL MATHEMATICS | 2005年 / 54卷 / 02期

关键词：

ill-posed problem; iterative method; GMRES; RRGMRES; LSQR; preconditioning;

D O I：

10.1016/j.apnum.2004.09.027

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The solution of large linear discrete ill-posed problems by iterative methods has recently received considerable attention. This paper presents invertible smoothing preconditioners which are well suited for use with the GMRES, RRGMRES and LSQR methods. (c) 2004 IMACS. Published by Elsevier B.V. All rights reserved.

引用

页码：135 / 149

页数：15

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