Expanding the applicability of an a posteriori parameter choice strategy for Tikhonov regularization of nonlinear ill-posed problems View Full Text


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Article Info

DATE

2019-03-15

AUTHORS

Ioannis K. Argyros, Yeol Je Cho, Santhosh George, Yi-bin Xiao

ABSTRACT

We expand the applicability of an a posteriori parameter choice strategy for Tikhonov regularization of the nonlinear ill-posed problem presented in Jin and Hou (Numer Math 83:139–159, 1999) by weakening the conditions needed in Jin and Hou [13]. Using a center-type Lipschitz condition instead of a Lipschitz-type condition used in Jin and Hou [13], Scherzer et al. (SIAM J Numer Anal 30:1796–1838, 1993), we obtain a tighter convergence analysis. Numerical examples are presented to show that our results apply but earlier ones do not apply to solve equations. More... »

PAGES

2813-2826

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s13398-019-00657-w

DOI

http://dx.doi.org/10.1007/s13398-019-00657-w

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1112776139


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