Abstract
This chapter will continue the study of Tikhonov regularization and will be based on its classical interpretation as a penalized residual minimization. We shall explain the concepts of quasi-solutions and minimum norm solutions as strategies for the selection of the regularization parameter. The final section of this chapter is devoted to discussion of the classical regularization of integral equations of the first kind as introduced by Tikhonov [172] and Phillips [142].
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1999 Springer Science+Business Media New York
About this chapter
Cite this chapter
Kress, R. (1999). Tikhonov Regularization. In: Linear Integral Equations. Applied Mathematical Sciences, vol 82. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-0559-3_16
Download citation
DOI: https://doi.org/10.1007/978-1-4612-0559-3_16
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-6817-8
Online ISBN: 978-1-4612-0559-3
eBook Packages: Springer Book Archive