A new L-curve for ill-posed problems

被引：46

作者：

Reichel, Lothar ^{[2
]}

Sadok, Hassane ^{[1
]}

机构：

[1] Univ Littoral, Lab Math Pures & Appl, Ctr Univ Mi Voix, F-62228 Calais, France

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

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2008年 / 219卷 / 02期

关键词：

ill-posed problem; truncated singular value decomposition; truncation criterion; L-curve;

D O I：

10.1016/j.cam.2007.01.025

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The truncated singular value decomposition is a popular method for the solution of linear ill-posed problems. The method requires the choice of a truncation index, which affects the quality of the computed approximate solution. This paper proposes that an L-curve, which is determined by how well the given data (right-hand side) can be approximated by a linear combination of the first (few) left singular vectors (or functions), be used as an aid for determining the truncation index. (C) 2008 Elsevier B.V. All rights reserved.

引用

页码：493 / 508

页数：16

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