Regularization of large scale total least squares problems

Publikationstyp
Conference Paper
Date Issued
2011
Sprache
English
Author(s)
Voss, Heinrich 
Lampe, Jörg  
Institut
Numerische Simulation E-10 (H)  
TORE-URI
http://hdl.handle.net/11420/11773
First published in
Communications in Computer and Information Science  
Number in series
245
Start Page
22
End Page
37
Citation
10th International Conference on Computer Information Systems and Industrial Management Applications, CISIM 2011, Kolkata, India, December 14 - 16, 2011. Proceedings. - (Communications in Computer and Information Science ; vol. 245 CCIS): Seite 22-37 (2011)
Contribution to Conference
10th International Conference on Computer Information Systems and Industrial Management Applications, CISIM 2011  
Publisher DOI
10.1007/978-3-642-27245-5_6
Scopus ID
2-s2.0-83755171556
Publisher
Springer
The total least squares (TLS) method is an appropriate approach for linear systems when not only the right-hand side but also the system matrix is contaminated by some noise. For ill-posed problems regularization is necessary to stabilize the computed solutions. In this presentation we discuss two approaches for regularizing large scale TLS problems. One which is based on adding a quadratic constraint and a Tikhonov type regularization concept.
DDC Class
510: Mathematik