- Title
- A new method for solving linear ill-posed problems
- Creator
- Zhang, Jianjun; Mammadov, Musa
- Date
- 2012
- Type
- Text; Journal article
- Identifier
- http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/57681
- Identifier
- vital:4667
- Identifier
-
https://doi.org/10.1016/j.amc.2012.03.098
- Identifier
- ISSN:0096-3003
- Abstract
- In this paper, we propose a new method for solving large-scale ill-posed problems. This method is based on the Karush-Kuhn-Tucker conditions, Fisher-Burmeister function and the discrepancy principle. The main difference from the majority of existing methods for solving ill-posed problems is that, we do not need to choose a regularization parameter in advance. Experimental results show that the proposed method is effective and promising for many practical problems. © 2012.
- Relation
- Applied Mathematics and Computation Vol. 218, no. 20 (2012), p.10180-10187
- Rights
- Copyright 2012 Elsevier Inc.
- Rights
- Open Access
- Rights
- This metadata is freely available under a CCO license
- Subject
- 0103 Numerical and Computational Mathematics; 0102 Applied Mathematics; Generalized cross validation; Ill-posed problems; L-curve; Newton's method; Tikhonov regularization
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