A modified truncation singular value decomposition method for solving ill-posed problems-Reference-Cited by-同舟云学术

A modified truncation singular value decomposition method for solving ill-posed problems

Published:2018-11-23 Issue: Volume:13 Page:174830181881360
ISSN:1748-3026
Container-title:Journal of Algorithms & Computational Technology
language:en
Short-container-title:Journal of Algorithms & Computational Technology

Author:

Zhao Zhenyu¹^ORCID,Lin Riguang¹,Meng Zehong²,He Guoqiang³,You Lei¹,Zhou Yongxiong¹

Affiliation:

1. China College of Science, Guangdong Ocean University, Zhanjiang, China

2. School of Mathematics and Statistics, Zhejiang University of Finance and Economics, Hangzhou, China

3. College of Science, Shanghai University, Shanghai, China

Abstract

A modified truncated singular value decomposition method for solving ill-posed problems is presented in this paper, in which the solution has a slightly different form. Both theoretical and numerical results show that the limitations of the classical TSVD method have been overcome by the new method and very few additive computations are needed.

Funder

National Natural Science Foundation of China

the project of enhancing school with innovation of Guangdong Ocean University

Publisher

SAGE Publications

Link

http://journals.sagepub.com/doi/pdf/10.1177/1748301818813609

Reference13 articles.

1. Regularization of Inverse Problems

2. Truncated Singular Value Decomposition Solutions to Discrete Ill-Posed Problems with Ill-Determined Numerical Rank

3. A Numerical Method for Solving Fredholm Integral Equations of the First Kind Using Singular Values

4. The truncatedSVD as a method for regularization

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