Jump to ContentJump to Main Navigation
Show Summary Details

Journal of Inverse and Ill-posed Problems

Editor-in-Chief: Kabanikhin, Sergey I.


IMPACT FACTOR increased in 2015: 0.987
Rank 59 out of 312 in category Mathematics and 93 out of 254 in Applied Mathematics in the 2015 Thomson Reuters Journal Citation Report/Science Edition

SCImago Journal Rank (SJR) 2015: 0.583
Source Normalized Impact per Paper (SNIP) 2015: 1.106
Impact per Publication (IPP) 2015: 0.712

Mathematical Citation Quotient (MCQ) 2015: 0.43

249,00 € / $374.00 / £187.00*

Online
ISSN
1569-3945
See all formats and pricing
Select Volume and Issue

Issues

30,00 € / $42.00 / £23.00

Get Access to Full Text

Necessary and sufficient conditions for logarithmic convergence of regularization methods for solving inverse Cauchy problem in Banach space

M. Kokurin / V. Kljuchev

Mary State University, 424001, Yoshkar-Ola, Russia. E-mail:

Citation Information: Journal of Inverse and Ill-posed Problems jiip. Volume 14, Issue 5, Pages 481–504, ISSN (Online) 1569-3953, ISSN (Print) 0928-0219, DOI: 10.1515/156939406778247606,

Publication History

Published Online:

We consider an abstract inverse Cauchy problem with a sectorial operator A in a Banach space. For solving the problem, a class of regularization methods is used and their rate of convergence is studied in terms of the regularization parameter α → 0+. It is shown that the methods provide an approximation error of order O((– ln α)−p) (p > 0) if and only if the initial discrepancy has a sourcewise representation with respect to the operator A−p.

Comments (0)

Please log in or register to comment.